Qualitative Analysis of Delayed Predator-Prey Model with Disease Incubation

摘要：

This paper proposes a delayed predator-prey model with disease incubation, and analyzes the stability of boundary equilibrium and existence of positive equilibrium point. Then a threshold which determines the outcome of the disease is identified, and the sufficient conditions of locally asymptotical stability of positive equilibrium and a Hopf bifurcation are obtained. Meanwhile, the condition for uniformly persistent existence of the model is determined. Ultimately, the trend figures of the model are simulated by using Matlab. It is shown by numerical simulations that the study is feasible and effective.

关键词： Delay Asymptotical stability Threshold Hopf bifurcation Uniformly Persistence

作者: Dongmei Li Huan Zhu Chen Shao

作者单位: Applied Science College,Harbin University of Science and Technology,Harbin 150080, China Applied Science College, Harbin University of Science and Technology,Harbin 150080, China;Arts and S Applied Science College, Harbin University of Science and Technology,Harbin 150080, 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: 1622-1629

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）