Hopf bifurcation in a delayed predator-prey system with modified Leslie-Gower and Holling-type III schemes
In this paper, we consider a delayed predator-prey model with modified Leslie-Gower and Holling type III schemes. By regarding the delay as the bifurcation parameter, the local asymptotic stability of the positive equilibrium is investigated. And we find that Hopf bifurcations can occur as the delay crosses some critical values. In particular, special attention is paid to the direction of Hopf bifurcation and the stability of bifurcating periodic solutions. Finally, numerical simulations are carried out to illustrate the main theoretical results.
Predator-prey Time delay Stability Bifurcation Periodic solution
Zizhen Zhang Huizhong Yang
Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Jiangnan Univ Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Jiangnan Univ
国内会议
厦门
英文
1-5
2012-08-01（万方平台首次上网日期，不代表论文的发表时间）