【摘要】 研究了离散时间上带有Leslie-Gower功能性反应的三维食物链模型.首先给出保证系统永久持续生成的条件,由于系统系数的周期性,正周期解是存在的,最后通过在正的周期解领域内线性化系统,并通过构造Lyapunov函数,我们得出了保证系统正周期解全局稳定的条件.更多还原

【Abstract】 We consider a three dimesional food-chain model with Leslie-Gower functional response on discrete time.At first sufficient conditions which guarantee the permanence of the model are obtained.Because the coefficients in the model are periodic,the existence of periodic solutions is also obtained.Finally,by linearization of the model at the neighborhood of postive periodic solution and constructing a Lyapunov function,sufficient conditions are obtained to ensure the global stability of the positive periodic solution.更多还原