一类Holling Ⅲ型Leslie-Gower模型的持久性与灭绝性  

Permanence and Extinction for a Leslie-Gower Model with Holling Ⅲ Response Function

作　　者：宋扬[1] 谭远顺[1] 聂玉稳[2] 

机构地区：[1]重庆交通大学理学院,重庆400074 [2]重庆外国语学校,重庆400052

出　　处：《中北大学学报（自然科学版）》2012年第6期623-626,共4页Journal of North University of China(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10871122);重庆市自然科学基金资助项目(CSTC2011AC6104)

摘　　要：讨论了一类食饵具有Holling Ⅲ功能反应的Leslie-Gower模型的动力学行为,应用脉冲微分方程的比较原理及其现代分析方法,得到了系统灭绝和永久持久性的阈值条件,推广了只有一次脉冲和没有功能性反应时的情形.The dynamics of a Leslie-Gower model with Holling Ⅲ response function was studied,using comparing theorem of impulsive differential equations and modern analysis methods,the threshold of the permanence and extinction for this system was obtained and extended the case that had only one impulsive perturbation and the case which had no response function.

关 键 词：HOLLING Ⅲ 脉冲 Leslie-Gower模型 永久持久性 灭绝性 

分 类 号：O175.2[理学—数学]