<div dir="ltr"><div style="margin:0px;padding:0px;overflow:visible;clear:both;direction:ltr;color:rgb(0,0,0);font-family:'Segoe UI',Tahoma,Verdana,sans-serif;font-size:8px"><p style="margin:0px;padding:0px;word-wrap:break-word;white-space:pre-wrap;vertical-align:baseline;color:windowtext;text-align:justify;font-size:6pt;background-color:transparent"><span style="margin:0px;padding:0px;white-space:normal;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px"><span style="margin:0px;padding:0px;background-color:inherit">Dear All,</span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:13pt;line-height:20px;font-family:'Times New Roman',serif"> </span></p></div><div style="margin:0px;padding:0px;overflow:visible;clear:both;direction:ltr;color:rgb(0,0,0);font-family:'Segoe UI',Tahoma,Verdana,sans-serif;font-size:8px"><p style="margin:0px;padding:0px;word-wrap:break-word;white-space:pre-wrap;vertical-align:baseline;color:windowtext;text-align:justify;font-size:6pt;background-color:transparent"><span style="margin:0px;padding:0px;white-space:normal;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px"><span style="margin:0px;padding:0px;background-color:inherit">Please find below the information about the </span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px"><span style="margin:0px;padding:0px;background-color:inherit">1</span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px"><span style="margin:0px;padding:0px;background-color:inherit">2</span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px;background-color:rgb(252,252,252)"><span style="margin:0px;padding:0px;background-color:inherit">th</span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px"><span style="margin:0px;padding:0px;background-color:inherit"> week of “</span></span><span style="margin:0px;padding:0px;white-space:normal;font-style:italic;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px"><span style="margin:0px;padding:0px;background-color:inherit">Analysis and Applied Mathematics Seminar Series</span></span><span style="margin:0px;padding:0px;white-space:normal;font-style:italic;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px"><span style="margin:0px;padding:0px;background-color:inherit"> ‘1</span></span><span style="margin:0px;padding:0px;white-space:normal;font-style:italic;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px"><span style="margin:0px;padding:0px;background-color:inherit">6</span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px"><span style="margin:0px;padding:0px;background-color:inherit">”. You are cordially invited to attend this seminar.</span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:13pt;line-height:20px;font-family:'Times New Roman',serif"> </span></p></div><div style="margin:0px;padding:0px;overflow:visible;clear:both;direction:ltr;color:rgb(0,0,0);font-family:'Segoe UI',Tahoma,Verdana,sans-serif;font-size:8px"><p style="margin:0px;padding:0px;word-wrap:break-word;white-space:pre-wrap;vertical-align:baseline;color:windowtext;text-align:justify;font-size:6pt;background-color:transparent"><span style="margin:0px;padding:0px;white-space:normal;font-size:12pt;font-family:'Times New Roman',serif;line-height:18px"><span style="margin:0px;padding:0px;background-color:inherit"></span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:12pt;line-height:18px;font-family:'Times New Roman',serif"> </span></p></div><div style="margin:0px;padding:0px;overflow:visible;clear:both;direction:ltr;color:rgb(0,0,0);font-family:'Segoe UI',Tahoma,Verdana,sans-serif;font-size:8px"><p style="margin:0px;padding:0px;word-wrap:break-word;white-space:pre-wrap;vertical-align:baseline;color:windowtext;text-align:justify;font-size:6pt;background-color:transparent"><span style="margin:0px;padding:0px;white-space:normal;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px"><span style="margin:0px;padding:0px;background-color:inherit">Please visit </span></span><a href="http://www.fatih.edu.tr/?ulasimbuyukcekmece" target="_blank" style="color:inherit;margin:0px;padding:0px;white-space:normal;text-decoration:none"><span style="margin:0px;padding:0px;color:rgb(0,0,255);text-decoration:underline;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px"><span style="margin:0px;padding:0px;background-color:inherit">http://www.fatih.edu.tr/?ulasimbuyukcekmece</span></span></a><span style="margin:0px;padding:0px;white-space:normal;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px"><span style="margin:0px;padding:0px;background-color:inherit"> for transport information.</span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:13pt;line-height:20px;font-family:'Times New Roman',serif"> </span></p></div><div style="margin:0px;padding:0px;overflow:visible;clear:both;direction:ltr;color:rgb(0,0,0);font-family:'Segoe UI',Tahoma,Verdana,sans-serif;font-size:8px"><p style="margin:0px;padding:0px;word-wrap:break-word;white-space:pre-wrap;vertical-align:baseline;color:windowtext;text-align:justify;font-size:6pt;background-color:transparent"><span style="margin:0px;padding:0px;white-space:normal;font-size:12pt;font-family:'Times New Roman',serif;line-height:18px"><span style="margin:0px;padding:0px;background-color:inherit"></span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:12pt;line-height:18px;font-family:'Times New Roman',serif"> </span></p></div><div style="margin:0px;padding:0px;overflow:visible;clear:both;direction:ltr;color:rgb(0,0,0);font-family:'Segoe UI',Tahoma,Verdana,sans-serif;font-size:8px"><p style="margin:0px;padding:0px;word-wrap:break-word;white-space:pre-wrap;vertical-align:baseline;color:windowtext;text-align:justify;font-size:6pt;background-color:transparent"><span style="margin:0px;padding:0px;white-space:normal;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px"><span style="margin:0px;padding:0px;background-color:inherit">Sincerely Yours,</span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:13pt;line-height:20px;font-family:'Times New Roman',serif"> </span></p></div><div style="margin:0px;padding:0px;overflow:visible;clear:both;direction:ltr;color:rgb(0,0,0);font-family:'Segoe UI',Tahoma,Verdana,sans-serif;font-size:8px"><p style="margin:0px;padding:0px;word-wrap:break-word;white-space:pre-wrap;vertical-align:baseline;color:windowtext;text-align:justify;font-size:6pt;background-color:transparent"><span style="margin:0px;padding:0px;white-space:normal;font-size:12pt;font-family:'Times New Roman',serif;line-height:18px"><span style="margin:0px;padding:0px;background-color:inherit"></span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:12pt;line-height:18px;font-family:'Times New Roman',serif"> </span></p></div><div style="margin:0px;padding:0px;overflow:visible;clear:both;direction:ltr;color:rgb(0,0,0);font-family:'Segoe UI',Tahoma,Verdana,sans-serif;font-size:8px"><p style="margin:0px;padding:0px;word-wrap:break-word;white-space:pre-wrap;vertical-align:baseline;color:windowtext;text-align:justify;font-size:6pt;background-color:transparent"><span style="margin:0px;padding:0px;white-space:normal;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px"><span style="margin:0px;padding:0px;background-color:inherit">Ass</span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px"><span style="margin:0px;padding:0px;background-color:inherit">t. Prof. Dr. </span><span style="margin:0px;padding:0px;border-bottom-style:solid;border-bottom-width:1px;border-bottom-color:transparent">Fatma</span><span style="margin:0px;padding:0px;background-color:inherit"> </span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px"><span style="margin:0px;padding:0px;border-bottom-style:solid;border-bottom-width:1px;border-bottom-color:transparent">Songül</span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px"><span style="margin:0px;padding:0px;background-color:inherit"> </span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px"><span style="margin:0px;padding:0px;border-bottom-style:solid;border-bottom-width:1px;border-bottom-color:transparent">Özesenli</span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px"><span style="margin:0px;padding:0px;background-color:inherit"> </span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px"><span style="margin:0px;padding:0px;border-bottom-style:solid;border-bottom-width:1px;border-bottom-color:transparent">Tetikoğlu</span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:13pt;line-height:20px;font-family:'Times New Roman',serif"> </span></p></div><div style="margin:0px;padding:0px;overflow:visible;clear:both;direction:ltr;color:rgb(0,0,0);font-family:'Segoe UI',Tahoma,Verdana,sans-serif;font-size:8px"><p style="margin:0px;padding:0px;word-wrap:break-word;white-space:pre-wrap;vertical-align:baseline;color:windowtext;text-align:justify;font-size:6pt;background-color:transparent"><span style="margin:0px;padding:0px;white-space:normal;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px"><span style="margin:0px;padding:0px;background-color:inherit">Department of Mathematics, Fatih University, </span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px"><span style="margin:0px;padding:0px;border-bottom-style:solid;border-bottom-width:1px;border-bottom-color:transparent">Buyukcekmece</span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px"><span style="margin:0px;padding:0px;background-color:inherit">, </span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px"><span style="margin:0px;padding:0px;background-color:inherit">Istanbul, TURKIYE</span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:13pt;line-height:20px;font-family:'Times New Roman',serif"> </span></p></div><div style="margin:0px;padding:0px;overflow:visible;clear:both;direction:ltr;color:rgb(0,0,0);font-family:'Segoe UI',Tahoma,Verdana,sans-serif;font-size:8px"><p style="margin:0px;padding:0px;word-wrap:break-word;white-space:pre-wrap;vertical-align:baseline;color:windowtext;text-align:justify;font-size:6pt;background-color:transparent"><span style="margin:0px;padding:0px;white-space:normal;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px"><span style="margin:0px;padding:0px;background-color:inherit">Phone: <a href="tel:%2B90%20212%20866%2033%2000" value="+902128663300" target="_blank">+90 212 866 33 00</a> Ext: 2112</span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:13pt;line-height:20px;font-family:'Times New Roman',serif"> </span></p></div><div style="margin:0px;padding:0px;overflow:visible;clear:both;direction:ltr;color:rgb(0,0,0);font-family:'Segoe UI',Tahoma,Verdana,sans-serif;font-size:8px"><p style="margin:0px;padding:0px;word-wrap:break-word;white-space:pre-wrap;vertical-align:baseline;color:windowtext;text-align:justify;font-size:6pt;background-color:transparent"><span style="margin:0px;padding:0px;white-space:normal;font-size:12pt;font-family:'Times New Roman',serif;line-height:18px"><span style="margin:0px;padding:0px;background-color:inherit"></span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:12pt;line-height:18px;font-family:'Times New Roman',serif"> </span></p></div><div style="margin:0px;padding:0px;overflow:visible;clear:both;direction:ltr;color:rgb(0,0,0);font-family:'Segoe UI',Tahoma,Verdana,sans-serif;font-size:8px"><p style="margin:0px;padding:0px;word-wrap:break-word;white-space:pre-wrap;vertical-align:baseline;color:windowtext;text-align:justify;font-size:6pt"><span style="margin:0px;padding:0px;white-space:normal;font-size:12pt;font-family:'Times New Roman',serif;line-height:18px"><span style="margin:0px;padding:0px;background-color:inherit"></span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:12pt;line-height:18px;font-family:'Times New Roman',serif"> </span></p></div><div style="margin:0px;padding:0px;overflow:visible;clear:both;direction:ltr;color:rgb(0,0,0);font-family:'Segoe UI',Tahoma,Verdana,sans-serif;font-size:8px"><p style="margin:0px;padding:0px;word-wrap:break-word;white-space:pre-wrap;vertical-align:baseline;color:windowtext;text-align:justify;font-size:6pt"><span style="margin:0px;padding:0px;white-space:normal;font-weight:bold;font-size:14pt;font-family:'Times New Roman',serif;line-height:22px"><span style="margin:0px;padding:0px;background-color:inherit">SEMINAR PROGRAM:</span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:14pt;line-height:22px;font-family:'Times New Roman',serif"> </span></p></div><div style="margin:0px;padding:0px;overflow:visible;clear:both;direction:ltr;color:rgb(0,0,0);font-family:'Segoe UI',Tahoma,Verdana,sans-serif;font-size:8px"><p style="margin:0px;padding:0px;word-wrap:break-word;white-space:pre-wrap;vertical-align:baseline;color:windowtext;text-align:justify;font-size:6pt"><span style="margin:0px;padding:0px;white-space:normal;font-size:12pt;font-family:'Times New Roman',serif;line-height:18px"><span style="margin:0px;padding:0px;background-color:inherit"></span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:12pt;line-height:18px;font-family:'Times New Roman',serif"> </span></p></div><div style="margin:0px;padding:0px;overflow:visible;clear:both;direction:ltr;color:rgb(0,0,0);font-family:'Segoe UI',Tahoma,Verdana,sans-serif;font-size:8px"><p style="margin:0px;padding:0px;word-wrap:break-word;white-space:pre-wrap;vertical-align:baseline;color:windowtext;text-align:justify;font-size:6pt;background-color:transparent"><span style="margin:0px;padding:0px;white-space:normal;font-weight:bold;font-size:14pt;font-family:'Times New Roman',serif;line-height:22px"><span style="margin:0px;padding:0px;background-color:inherit">Speaker </span></span><span style="margin:0px;padding:0px;white-space:normal;font-weight:bold;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px"><span style="margin:0px;padding:0px;background-color:inherit"> </span></span><span style="margin:0px;padding:0px;white-space:normal;font-weight:bold;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px"><span style="margin:0px;padding:0px;background-color:inherit">:</span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px"><span style="margin:0px;padding:0px;background-color:inherit"> </span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px"><span style="margin:0px;padding:0px;background-color:inherit">Res.</span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px"><span style="margin:0px;padding:0px;background-color:inherit"> Asst. Dr. </span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px"><span style="margin:0px;padding:0px;border-bottom-style:solid;border-bottom-width:1px;border-bottom-color:transparent">Neslihan</span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px"><span style="margin:0px;padding:0px;background-color:inherit"> </span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px"><span style="margin:0px;padding:0px;border-bottom-style:solid;border-bottom-width:1px;border-bottom-color:transparent">Nesliye</span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px"><span style="margin:0px;padding:0px;background-color:inherit"> PELEN, </span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px"><span style="margin:0px;padding:0px;border-bottom-style:solid;border-bottom-width:1px;border-bottom-color:transparent">Ondokuz</span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px"><span style="margin:0px;padding:0px;background-color:inherit"> </span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px"><span style="margin:0px;padding:0px;border-bottom-style:solid;border-bottom-width:1px;border-bottom-color:transparent">Mayıs</span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px"><span style="margin:0px;padding:0px;background-color:inherit"> University</span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:13pt;line-height:20px;font-family:'Times New Roman',serif"> </span></p></div><div style="margin:0px;padding:0px;overflow:visible;clear:both;direction:ltr;color:rgb(0,0,0);font-family:'Segoe UI',Tahoma,Verdana,sans-serif;font-size:8px"><p style="margin:0px;padding:0px;word-wrap:break-word;white-space:pre-wrap;vertical-align:baseline;color:windowtext;text-align:justify;font-size:6pt;background-color:transparent"><span style="color:windowtext;margin:0px;padding:0px;white-space:normal;font-weight:bold;font-size:14pt;font-family:'Times New Roman',serif;line-height:22px;background-color:transparent"><span style="margin:0px;padding:0px;background-color:inherit"><br></span></span></p><p style="margin:0px;padding:0px;word-wrap:break-word;white-space:pre-wrap;vertical-align:baseline;color:windowtext;text-align:justify;font-size:6pt;background-color:transparent"><span style="color:windowtext;margin:0px;padding:0px;white-space:normal;font-weight:bold;font-size:14pt;font-family:'Times New Roman',serif;line-height:22px;background-color:transparent"><span style="margin:0px;padding:0px;background-color:inherit">Title</span></span><span style="color:windowtext;margin:0px;padding:0px;white-space:normal;font-weight:bold;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px;background-color:transparent"><span style="margin:0px;padding:0px;background-color:inherit">         </span></span><span style="color:windowtext;margin:0px;padding:0px;white-space:normal;font-weight:bold;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px;background-color:transparent"><span style="margin:0px;padding:0px;background-color:inherit">:</span></span><span style="color:windowtext;margin:0px;padding:0px;white-space:normal;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px;background-color:transparent"><span style="margin:0px;padding:0px;background-color:inherit"> </span></span><span style="color:windowtext;margin:0px;padding:0px;white-space:normal;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px;background-color:transparent"><span style="margin:0px;padding:0px;background-color:inherit">On</span></span><span style="color:windowtext;margin:0px;padding:0px;white-space:normal;font-weight:bold;font-size:14pt;font-family:'Times New Roman',serif;line-height:22px;background-color:transparent"><span style="margin:0px;padding:0px;background-color:inherit"> </span></span><span style="color:windowtext;margin:0px;padding:0px;white-space:normal;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px;background-color:transparent"><span style="margin:0px;padding:0px;background-color:inherit">the Dynamics of Predator-Prey Systems with </span></span><span style="color:windowtext;margin:0px;padding:0px;white-space:normal;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px;background-color:transparent"><span style="margin:0px;padding:0px;border-bottom-style:solid;border-bottom-width:1px;border-bottom-color:transparent">Beddngton</span></span><span style="color:windowtext;margin:0px;padding:0px;white-space:normal;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px;background-color:transparent"><span style="margin:0px;padding:0px;background-color:inherit"> </span></span><span style="color:windowtext;margin:0px;padding:0px;white-space:normal;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px;background-color:transparent"><span style="margin:0px;padding:0px;border-bottom-style:solid;border-bottom-width:1px;border-bottom-color:transparent">DeAngelis</span></span><span style="color:windowtext;margin:0px;padding:0px;white-space:normal;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px;background-color:transparent"><span style="margin:0px;padding:0px;background-color:inherit"> type Functional Responses</span></span><span style="color:windowtext;margin:0px;padding:0px;white-space:normal;font-size:13pt;line-height:20px;font-family:'Times New Roman',serif;background-color:transparent"> </span></p></div><div style="margin:0px;padding:0px;overflow:visible;clear:both;direction:ltr;color:rgb(0,0,0);font-family:'Segoe UI',Tahoma,Verdana,sans-serif;font-size:8px"><p style="margin:0px 0px 0px 85px;padding:0px;word-wrap:break-word;white-space:pre-wrap;vertical-align:baseline;color:windowtext;font-size:6pt;background-color:transparent"><span style="margin:0px;padding:0px;white-space:normal;font-size:12pt;font-family:'Times New Roman',serif;line-height:18px"><span style="margin:0px;padding:0px;background-color:inherit"></span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:12pt;line-height:18px;font-family:'Times New Roman',serif"> </span></p></div><div style="margin:0px;padding:0px;overflow:visible;clear:both;direction:ltr;color:rgb(0,0,0);font-family:'Segoe UI',Tahoma,Verdana,sans-serif;font-size:8px"><p style="margin:0px;padding:0px;word-wrap:break-word;white-space:pre-wrap;vertical-align:baseline;color:windowtext;font-size:6pt;background-color:transparent"><span style="margin:0px;padding:0px;white-space:normal;font-weight:bold;font-size:14pt;font-family:'Times New Roman',serif;line-height:22px"><span style="margin:0px;padding:0px;background-color:inherit">Abstract  </span></span><span style="margin:0px;padding:0px;white-space:normal;font-weight:bold;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px"><span style="margin:0px;padding:0px;background-color:inherit">:</span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px"><span style="margin:0px;padding:0px;background-color:inherit"> </span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px"><span style="margin:0px;padding:0px;background-color:inherit">We consider two dimensional predator-prey systems with </span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px"><span style="margin:0px;padding:0px;border-bottom-style:solid;border-bottom-width:1px;border-bottom-color:transparent">Beddington</span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px"><span style="margin:0px;padding:0px;background-color:inherit"> </span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px"><span style="margin:0px;padding:0px;border-bottom-style:solid;border-bottom-width:1px;border-bottom-color:transparent">DeAngelis</span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px"><span style="margin:0px;padding:0px;background-color:inherit"> type functional response.  Here, the necessary and </span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px"><span style="margin:0px;padding:0px;background-color:inherit">sufficient</span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px"><span style="margin:0px;padding:0px;background-color:inherit"> </span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px"><span style="margin:0px;padding:0px;background-color:inherit">conditions of the considered systems when it has at least one w-periodic solution is</span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px"><span style="margin:0px;padding:0px;background-color:inherit"> found. This study is mainly based on continuation theorem in coincidence degree theory. By using the study </span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px"><span style="margin:0px;padding:0px;background-color:inherit">of  Cui</span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px"><span style="margin:0px;padding:0px;background-color:inherit"> and Takeuchi, to obtain the globally attractive w-periodic solution of the given systems, an equality is given as the necessary and </span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px"><span style="margin:0px;padding:0px;background-color:inherit">sufficient</span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px"><span style="margin:0px;padding:0px;background-color:inherit"> condition. Additionally, for the system with </span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px"><span style="margin:0px;padding:0px;border-bottom-style:solid;border-bottom-width:1px;border-bottom-color:transparent">Beddington</span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px"><span style="margin:0px;padding:0px;background-color:inherit"> </span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px"><span style="margin:0px;padding:0px;border-bottom-style:solid;border-bottom-width:1px;border-bottom-color:transparent">DeAngelis</span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px"><span style="margin:0px;padding:0px;background-color:inherit"> type functional response, the open problem that was given in the discussion part of the study of Fan and </span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px"><span style="margin:0px;padding:0px;border-bottom-style:solid;border-bottom-width:1px;border-bottom-color:transparent">Kuang</span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px"><span style="margin:0px;padding:0px;background-color:inherit"> is solved.</span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:13pt;line-height:20px;font-family:'Times New Roman',serif"> </span></p></div><div style="margin:0px;padding:0px;overflow:visible;clear:both;direction:ltr;color:rgb(0,0,0);font-family:'Segoe UI',Tahoma,Verdana,sans-serif;font-size:8px"><p style="margin:0px;padding:0px;word-wrap:break-word;white-space:pre-wrap;vertical-align:baseline;color:windowtext;font-size:6pt;background-color:transparent"><span style="margin:0px;padding:0px;white-space:normal;font-size:12pt;font-family:'Times New Roman',serif;line-height:18px"><span style="margin:0px;padding:0px;background-color:inherit"></span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:12pt;line-height:18px;font-family:'Times New Roman',serif"> </span></p></div><div style="margin:0px;padding:0px;overflow:visible;clear:both;direction:ltr;color:rgb(0,0,0);font-family:'Segoe UI',Tahoma,Verdana,sans-serif;font-size:8px"><p style="margin:0px;padding:0px;word-wrap:break-word;white-space:pre-wrap;vertical-align:baseline;color:windowtext;text-align:justify;font-size:6pt;background-color:transparent"><span style="margin:0px;padding:0px;white-space:normal;font-weight:bold;font-size:14pt;font-family:'Times New Roman',serif;line-height:22px"><span style="margin:0px;padding:0px;background-color:inherit">Date</span></span><span style="margin:0px;padding:0px;white-space:normal;font-weight:bold;font-size:14pt;font-family:'Times New Roman',serif;line-height:22px"><span style="margin:0px;padding:0px;background-color:inherit">   </span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px"><span style="margin:0px;padding:0px;background-color:inherit">      </span></span><span style="margin:0px;padding:0px;white-space:normal;font-weight:bold;font-size:14pt;font-family:'Times New Roman',serif;line-height:22px"><span style="margin:0px;padding:0px;background-color:inherit">: </span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px"><span style="margin:0px;padding:0px;background-color:inherit">Monday, </span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px"><span style="margin:0px;padding:0px;background-color:inherit">March 14</span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px"><span style="margin:0px;padding:0px;background-color:inherit">,</span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px"><span style="margin:0px;padding:0px;background-color:inherit"> 201</span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px"><span style="margin:0px;padding:0px;background-color:inherit">6</span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:13pt;line-height:20px;font-family:'Times New Roman',serif"> </span></p></div><div style="margin:0px;padding:0px;overflow:visible;clear:both;direction:ltr;color:rgb(0,0,0);font-family:'Segoe UI',Tahoma,Verdana,sans-serif;font-size:8px"><p style="margin:0px;padding:0px;word-wrap:break-word;white-space:pre-wrap;vertical-align:baseline;color:windowtext;text-align:justify;font-size:6pt;background-color:transparent"><span style="margin:0px;padding:0px;white-space:normal;font-size:12pt;font-family:'Times New Roman',serif;line-height:18px"><span style="margin:0px;padding:0px;background-color:inherit"></span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:12pt;line-height:18px;font-family:'Times New Roman',serif"> </span></p></div><div style="margin:0px;padding:0px;overflow:visible;clear:both;direction:ltr;color:rgb(0,0,0);font-family:'Segoe UI',Tahoma,Verdana,sans-serif;font-size:8px"><p style="margin:0px;padding:0px;word-wrap:break-word;white-space:pre-wrap;vertical-align:baseline;color:windowtext;text-align:justify;font-size:6pt;background-color:transparent"><span style="margin:0px;padding:0px;white-space:normal;font-weight:bold;font-size:14pt;font-family:'Times New Roman',serif;line-height:22px"><span style="margin:0px;padding:0px;background-color:inherit">Time </span></span><span style="margin:0px;padding:0px;white-space:normal;font-weight:bold;font-size:14pt;font-family:'Times New Roman',serif;line-height:22px"><span style="margin:0px;padding:0px;background-color:inherit">       </span></span><span style="margin:0px;padding:0px;white-space:normal;font-weight:bold;font-size:14pt;font-family:'Times New Roman',serif;line-height:22px"><span style="margin:0px;padding:0px;background-color:inherit">:</span></span><span style="margin:0px;padding:0px;white-space:normal;font-weight:bold;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px"><span style="margin:0px;padding:0px;background-color:inherit"> </span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px"><span style="margin:0px;padding:0px;background-color:inherit">1</span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px"><span style="margin:0px;padding:0px;background-color:inherit">5</span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px"><span style="margin:0px;padding:0px;background-color:inherit">.00-1</span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px"><span style="margin:0px;padding:0px;background-color:inherit">6</span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px"><span style="margin:0px;padding:0px;background-color:inherit">.00</span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:13pt;line-height:20px;font-family:'Times New Roman',serif"> </span></p></div><div style="margin:0px;padding:0px;overflow:visible;clear:both;direction:ltr;color:rgb(0,0,0);font-family:'Segoe UI',Tahoma,Verdana,sans-serif;font-size:8px"><p style="margin:0px;padding:0px;word-wrap:break-word;white-space:pre-wrap;vertical-align:baseline;color:windowtext;text-align:justify;font-size:6pt;background-color:transparent"><span style="margin:0px;padding:0px;white-space:normal;font-size:12pt;font-family:'Times New Roman',serif;line-height:18px"><span style="margin:0px;padding:0px;background-color:inherit"></span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:12pt;line-height:18px;font-family:'Times New Roman',serif"> </span></p></div><div style="margin:0px;padding:0px;overflow:visible;clear:both;direction:ltr;color:rgb(0,0,0);font-family:'Segoe UI',Tahoma,Verdana,sans-serif;font-size:8px"><p style="margin:0px;padding:0px;word-wrap:break-word;white-space:pre-wrap;vertical-align:baseline;color:windowtext;text-align:justify;font-size:6pt;background-color:transparent"><span style="margin:0px;padding:0px;white-space:normal;font-weight:bold;font-size:14pt;font-family:'Times New Roman',serif;line-height:22px"><span style="margin:0px;padding:0px;background-color:inherit">Place </span></span><span style="margin:0px;padding:0px;white-space:normal;font-weight:bold;font-size:14pt;font-family:'Times New Roman',serif;line-height:22px"><span style="margin:0px;padding:0px;background-color:inherit">       </span></span><span style="margin:0px;padding:0px;white-space:normal;font-weight:bold;font-size:14pt;font-family:'Times New Roman',serif;line-height:22px"><span style="margin:0px;padding:0px;background-color:inherit">:</span></span><span style="margin:0px;padding:0px;white-space:normal;font-weight:bold;font-size:14pt;font-family:'Times New Roman',serif;line-height:22px"><span style="margin:0px;padding:0px;background-color:inherit"> </span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px"><span style="margin:0px;padding:0px;background-color:inherit">B-2</span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px"><span style="margin:0px;padding:0px;background-color:inherit">04</span></span><span style="margin:0px;padding:0px;white-space:normal;font-size:13pt;font-family:'Times New Roman',serif;line-height:20px"><span style="margin:0px;padding:0px;background-color:inherit">, Fatih University, Istanbul</span></span></p></div></div>