具有Beddington-DeAngelis功能性反应的三维顺环捕食系统

利用常微分方程的比较定理,得到系统一致持续生存的充分条件,使用Brower不动点定理和Lyapunov函数,证明了周期系统在一定条件下,存在唯一的全局渐近稳定的正周期解,进一步讨论了概周期现象,并得到了概周期系统存在唯一的全局渐近稳定的概周期正解的充分条件,最后给出了周期系统的数值模拟,验证了理论结果的正确性.

A Three-Species Clockwise Chain Predator-Prey Model with Beddington-DeAngelis Functional Response

The sufficient condition which guarantees the permanence of the system is obtained by comparison theory of ordinary differential equation.Under certain sufficient conditions,the uniqueness and globally asymptotic stability of periodic solution of the system is proved by Brower fix point theory and Lyapunov function.Moreover,the almost periodic phenomena are discussed,and some sufficient conditions which assure the unique existence and globally asymptotic stability of almost positive solution are deduced.Finally,numerical simulations about the periodic system are given to prove the conclusion to be true.