The behavior of a host-parasitoid model with host logistic growth and proportional refuge  

作　　者：Senada Kalabusic Esmir Pilav 

机构地区：[1]Department of Mathematics University of Sarajevo,Zmaja od Bosne 33-35 Sarajevo,Bosnia and Herzegovina

出　　处：《International Journal of Biomathematics》2024年第5期33-78,共46页生物数学学报（英文版）

摘　　要：This paper deals with the host-parasitoid model,where the logistic equation governs the host population growth,and a proportion of the host population can find refuge.The equilibrium points'existence,number,and local character are discussed.Taking the parameter regulating the parasitoid's growth as a bifurcation parameter,we prove that Neimark-Sacker and period-doubling bifurcations occur.Despite the complex behavior,it can be proved that the system is permanent,ensuring the long-term survival of both populations.Furthermore,it was observed that the presence of the proportional refuge does not significantly influence the system's behavior compared to the system without aproportional refuge.

关 键 词：Difference equations host-parasitoid Neimark-Sacker bifurcation perioddoubling bifurcation PERMANENCE stability 

分 类 号：O17[理学—数学]