具功能反应和投放率的非自治捕食-食饵系统的周期解和持久性  

Persistence and Periodic Solutions for Nonautonomous Predator-prey System with Fuctional Responses and Invest Rate

作　　者：樊晓明[1] 王志刚[1] 罗振江[1] 

机构地区：[1]哈尔滨师范大学数学科学学院,黑龙江哈尔滨150500

出　　处：《数学的实践与认识》2008年第9期123-130,共8页Mathematics in Practice and Theory

基　　金：国家自然科学基金(10471020);教育部新世纪优秀人才资助项目(NCET05-0319);黑龙江省教育厅科技项目(11531458)

摘　　要：研究一类具Beddington-DeAngeli类功能性反应和投放率的Lotka-Volterra非自治的捕食-食饵系统,证明了此系统在一定条件下是一致持续生存的,通过构造适当的Lyapunov函数得到系统存在唯一全局渐进稳定正周期解的充分条件.并举例说明条件的可行性.We consider a nonautonomous predator-prey system with Beddington-DeAngelis fuctional responses and invest rate. It is proved that the system is uniform persistent under suitable condition, Furthermore, A sufficient condi-tions are established for existence of periodic solution and uniqueness of global asymptotic stability by establishing Lyapunov fuction and a example is given to illustrate the feasibility of these conditions.

关 键 词：Beddington—DeAngetis 周期解 全局渐进稳定 LYAPUNOV函数 

分 类 号：O175[理学—数学] Q141[理学—基础数学]