Bifurcation analysis of a delayed predator-prey system with stage structure and Holling-II functional response

Advances in Difference Equations

Juan Liu¹ 

[1] Department of Mathematics and Physics, Bengbu College, Bengbu, China

关键词: predator-prey system;    stage-structured;    periodic solution;    delays;    Hopf bifurcation;   

DOI  :  10.1186/s13662-015-0535-2

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper is concerned with a stage-structured predator-prey system with Holling-II functional response and two delays. Choosing a possible combination of the two delays as the bifurcation parameter, the existence of the Hopf bifurcation of the system is discussed. Furthermore, the properties of the Hopf bifurcation such as the direction and the stability are determined by using the normal form method and center manifold theorem. Finally, some numerical simulations are presented to justify the theoretical results.

【 授权许可】

CC BY