非自治偏利合作模型周期正解的存在性与吸引性

On the Existence and Stability of Positive Periodic Solution of a Nonautonomous Commensal Symbiosis Model of Two Populations

借助重合度理论证得一类非自治偏利合作模型恒存在周期正解,其后通过构造适当的Lyapunov函数得到一组保证系统周期正解全局吸引的充分性条件。

By using a continuation theorem based on Gaines and Mawhin＇s coincidence degree, the global existence of positive periodic solutions ofa nonautonomous commensal symbiosis model of two populations is studied. By constructing a suitable Lyapunov function, sufficient conditions which ensure the global attractiveness of the positive periodic solution is obtained.