具有避难所的捕食系统的持久性和全局吸引性  

Permanence and Global Stability of Three Predator-prey System with Refuges

作　　者：赖尾英[1] 张敬华[1] LAI Weiying;ZHANG Jinghua(College of Computer and Information,Fujian Agriculture and Forestry University,Fuzhou Fujian 350007,China)

机构地区：[1]福建农林大学计算机与信息学院,福建福州350007

出　　处：《莆田学院学报》2020年第2期1-4,共4页Journal of putian University

基　　金：福建省自然科学基金资助项目(2019J10399);福建省中青年教师教育科研项目(JT180128)。

摘　　要：讨论具有避难所的三种群捕食者-食饵系统,利用微分方程比较定理得到保证此系统持久生存的充分条件;通过构造合适的Lyapunov函数,得到了保证该系统全局吸引的充分条件。最后举例说明结果的可行性。A three-predator-prey system with refuges was studied.Sufficient conditions guaranteeing the permanence of the system were determined by using comparison theory.After that,by constructing a suitable Lyapunov function,sufficient conditions were derived for the global asymptotic stability of the system.Finally,an example was carried out to show the feasibility of the main results.

关 键 词：避难所 捕食-食饵系统 一致持久性 全局吸引性 

分 类 号：O175.14[理学—数学]