一类带有Hassell-Varley型和延迟的非选择收获食饵捕食模型的概周期解(英文)

Almost Periodic Solution of a Non-Selective Harvesting Predator-Prey Model with Hassell-Varley Type Functional Response and Deviating Arguments

本文研究一类带有Hassell-Varley型和延迟的非选择收获食饵捕食模型.利用微分方程比较定理和构造一个合适的Lyapunov函数,获得系统的持久性和存在唯一全局吸引的正概周期解的充分条件,扩展和补充了已知的结论.

In this paper, we consider a non-selective harvesting predator-prey model with Hassell-Varley type functional response and deviating arguments. By applying the comparison theorem of the differential equations and constructing a suitable Lyapunov functional, sufficient conditions which guarantee the permanence and existence of a unique globally attractive positive almost periodic solution of the system are obtained. Our results extend and supplement the previously known result.