Analysis of a Predator-Prey XSI Model with Epidemic in the Prey

摘要：

This paper formulates and analyzes a predator-prey XSI model in which the prey is given with epidemic. Firstly, the sufficient conditions of the local asymptotic stability of the boundary equilibria are studied with the method of characteristic root. Secondly, the global asymptotic stability of two boundary equilibria, and the local asymptotic stability of the positive equilibrium are analyzed, together with the sufficient conditions of their stability obtained. Finally, the numerical simulation of XSI model and the conclusion of this paper are given.

关键词： Equilibrium Local asymptotic stability Global asymptotic stability Predator-prey

作者: Zhixing Hu Yongchang Fu Wanbiao Ma Hui Wang

作者单位: Department of Applied Mathematics and Mechanics, University of Science and Technology Beijing, Beijing,100083, P. R. China

会议类型: 国际会议

会议名称: The 1st International ELID-Grinding Conference(第一届镜面磨削技术国际会议)

会议地点: 长沙

会议语种:英文

页码: 200-206

在线出版日期: 2008-06-12（万方平台首次上网日期，不代表论文的发表时间）