文献类型：期刊文献

英文题名：QUALITATIVE ANALYSIS OF A STOCHASTIC PREDATOR-PREY SYSTEM WITH DISEASE IN THE PREDATOR

作者：Li, Shuang[1,2];Zhang, Xinan[1]

第一作者：Li, Shuang;李爽

通讯作者：Li, S[1]

机构：[1]Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Hubei, Peoples R China;[2]Xinxiang Univ, Dept Math, Xinxiang 453000, Henan, Peoples R China

第一机构：Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Hubei, Peoples R China

通讯机构：[1]corresponding author), Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Hubei, Peoples R China.

年份：2013

卷号：6

期号：1

外文期刊名：INTERNATIONAL JOURNAL OF BIOMATHEMATICS

收录：;Scopus(收录号：2-s2.0-84874811297);WOS:【SCI-EXPANDED(收录号:WOS:000316951000008)】；

基金：We would like to thank the editor and referees for their very useful comments on the manuscript. This research was supported by National Science Foundation of China (Nos. 10771081 and 11228104) and by the Special Fund for Basic Scientific Research of Central Colleges (ccnu10B01005).

语种：英文

外文关键词：Predator-prey; stochastic perturbation; stationary distribution; stability; extinct

摘要：A stochastic predator-prey system with disease in the predator population is proposed, the existence of global positive solution is derived. When the white noise is small, there is a stationary distribution. In addition, conditions of global stability for the deterministic system are also established from the above result. By Lyapunov function, the long time behavior of solution around the disease-free equilibrium of deterministic system is derived. These results mean that stochastic system has the similar property with the corresponding deterministic system. When the white noise is small, however, large environmental noise makes the result different. Finally, numerical simulations are carried out to support our findings.