Positive Periodic Solution of a Discrete Predator-prey Patch-system  

作　　者：Shu-yuan Shen Pei-xuan Weng 

机构地区：[1]School of Mathematics, South China Normal University, Guangzhou 510631, China [2]Nanhai College, South China Normal University, Foshan, Cuangdong 528225, China

出　　处：《Acta Mathematicae Applicatae Sinica》2008年第4期627-642,共16页应用数学学报（英文版）

基　　金：Supported by the National Natural Science Foundation of China(No.10571064);the National Sciences Foundation of Guangdong Province(No.04010364)

摘　　要：A periodic difference predator-prey model with Holling-（m ＋ 1）（m 〉 2） type functional response and impulses is established. Sufficient conditions are derived for the existence of periodic solutions by using a continuation theorem in coincidence degree.A periodic difference predator-prey model with Holling-（m ＋ 1）（m 〉 2） type functional response and impulses is established. Sufficient conditions are derived for the existence of periodic solutions by using a continuation theorem in coincidence degree.

关 键 词：Continuation theorem impulse Holling-（m ＋1） （m 〉 2） type functional response discretepredator-prey patch-system periodic solution 

分 类 号：O1[理学—数学]