A nonautonomous predator-prey model with mutual interference

摘要：

In this paper, a nonautonomous predator-prey model for the susceptible population, infected population and their predator population with mutual interference is formulated and analyzed. Some sufficient conditions for permanence of the population are obtained. Moreover, by constructing a Lyapunov function and using the comparison theorem, the global attractivity of the model is discussed under two cases, that is, the mutual interference constant m is a rational number and a real-valued number in interval (0,1) , respectively. It is found that the mutual interference m is significant for the dynamical behavior of the predator-prey model.

关键词： Eco-epidemiology mutual interference permanence stability

作者: Yan Zhang Shujing Gao

作者单位: Key Laboratory of Jiangxi Province for Numerical Simulation and Emulation Techniques, Gannan Normal University,Ganzhou 341000,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: 1498-1503

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）