Analysis of a Predator-Prey XSI Model with Epidemic in the Prey
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 ot their stability obtained. Finally, the numerical simulation of XSI model and the conclusion of this paper are given.
Equilibrium Local asymptotic stability Global asymptotic stability Predator-prey
Zhixing Hu Yongchang Fu Wanbiao Ma Hui Wang
Department of Applied Mathematics and Mechanics, University of Science and Technology Beijing, Beijing, 100083, P. R. China
国际会议
山东泰安
英文
200-206
2008-07-25（万方平台首次上网日期，不代表论文的发表时间）