Protection zone in a diffusive predator-prey model with Ivlev-type functional response  

作　　者：ZHANG Li-na XU Fei 

机构地区：[1]Department of Mathematics and statistics,Northwest Normal University,Lanzhou 730070,China

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2020年第4期437-451,共15页高校应用数学学报（英文版）（B辑）

基　　金：Supported by the National Natural Science Foundation of China(11761063).

摘　　要：The effect of a protection zone on a diffusion predator-prey model with Ivlev-type functional response is considered.We discuss the existence and non-existence of positive steady state solutions by using the bifurcation theory.It is shown that the protection zone for prey has beneficial effects on the coexistence of the two species when the growth rate of predator is positive.Moreover,we examine the dependence of the coexistence region on the efficiency of the predator capture of the prey and the protection zone.

关 键 词：Ivlev-type functional response protection zone BIFURCATION 

分 类 号：Q141[生物学—生态学] O175[生物学—普通生物学]