Dynamics of a discrete predator-prey model with Holling-II functional response

作     者：Yuqing Liu Xianyi Li 

作者机构：Department of Big Data ScienceSchool of ScienceZhejiang University of Science and TechnologyHangzhou 310023P.R.China 

出 版 物：《International Journal of Biomathematics》 (生物数学学报（英文版）)

年 卷 期：2021年第14卷第8期

页      面：253-272页

核心收录：

学科分类：07[理学] 0701[理学-数学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 070101[理学-基础数学] 

基　　金：This work is partly supported by the National Natural Science Foundation of China(61473340) the Distinguished Professor Foundation of Qianjiang Scholar in Zhejiang Province the National Natural Science Foundation of Zhejiang University of Science and Technology(F701108G14) 

主　　题：Discrete predator-prey system semidiscretization method transcritical bifurcation Neimark-Sacker bifurcation 

摘      要：In this paper,we use a semidiscretization method to derive a discrete predator–prey model with Holling type II,whose continuous version is stated in[*** and ***,Stability and Hopf bifurcation of a predator-prey model,*** Probl.129(2019)1–11].First,the existence and local stability of fixed points of the system are investigated by employing a key *** we obtain the sufficient conditions for the occurrence of the transcritical bifurcation and Neimark–Sacker bifurcation and the stability of the closed orbits bifurcated by using the Center Manifold theorem and bifurcation ***,we present numerical simulations to verify corresponding theoretical results and reveal some new dynamics.