具双密度制约和Non-Monotonic型功能反应的捕食系统的周期性与全局稳定性

Global stability and periodicity of predator-prey system with double density restrict and Non-Monotonic type functional response

利用比较原理和重合度理论与Lyapunov函数,研究了一类具有双密度制约和Non-Monotonic型功能性反应食饵-捕食者系统的持久性和全局周期解的存在性及其全局稳定性,得到了周期系统存在唯一全局渐近稳定的正周期解的充分条件.所得结论推广了已有的结果.

The persistence of a class of predator-prey system is investigated with double density restrict and non-monotonic type functional response,the existence and the global stability of its global positive periodic solution by using comparability theorem,coincidence degree theory and lyapunov functions.the sufficient conditions are obtained which guarantee the existence of the global asymptotic stable positive periodic solution of the periodic system.These obtained results generalize the main result.