Stability and Hopf bifurcation in a delayed predator-prey system with Monod-Haldane functional response and diffusion

摘要：

In this paper, a predator-prey model with Monod-Haldane type functional response and diffusion is considered. The local stability of the positive equilibrium and the existence of Hopf bifurcation are studied by analysing the roots of the characteristic equation of the corresponding lineared system. Some numerical simulations are presented to verify the theoreial results.

关键词： Predator-prey Diffusion Monod-Haldane Hopf bifurcation

作者: Xinyou Meng Haifeng Huo

作者单位: School of Science,Lanzhou University of Technology,Lanzhou,Gansu 730050,P.R.China

会议类型: 国际会议

会议名称: The 5th International Congress on Mathematical Biology(第五届国际生物数学大会 ICMB 2011)

会议地点: 南京

会议语种:英文

页码: 1001-1006

在线出版日期: 2011-06-01（万方平台首次上网日期，不代表论文的发表时间）