A note on periodic solutions for semi-ratio-dependent predator-prey systems  

作　　者：LIU Xiu-xiang School of Mathematical Sciences, South China Normal University, Guangdong 510631, China 

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2010年第1期1-8,共8页高校应用数学学报（英文版）（B辑）

基　　金：Supported by NSFC(10801056, 10971057);NSF of Guangdong Province (8451063101000730);Doctoral Program of Higher Education of China(20094407110001)

摘　　要：This note investigates the existence of periodic solutions for semi-ratio-dependent predator-prey models with functional response. New sharp criteria without any other nontrivial assumptions are presented by the invariance property of homotopy and analysis technique, which improve and extend many previous work. Some interesting numerical examples are given to illustrate our results.This note investigates the existence of periodic solutions for semi-ratio-dependent predator-prey models with functional response. New sharp criteria without any other nontrivial assumptions are presented by the invariance property of homotopy and analysis technique, which improve and extend many previous work. Some interesting numerical examples are given to illustrate our results.

关 键 词：Periodic solutions predator-prey system functional response. 

分 类 号：O175[理学—数学]