【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.更多还原

【Abstract】 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.更多还原