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Permanence and almost periodic solution of a predator-prey discrete system with Holling IV functional response 被引量:2

Permanence and almost periodic solution of a predator-prey discrete system with Holling IV functional response
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摘要 A predator-prey discrete-time model with non-monotone functional response and den- sity dependence is investigated in this paper. By using the comparison theorem of the difference equation, some sufficient conditions are obtained for the permanence of the system with variable coefficients. At the same time, a set of sufficient conditions about permanent of the system with almost periodic coefficients is also set up, which utilizes almost periodic characteristics of the system. Furthermore, the criteria which guarantee the existence of a globally attractive positive almost periodic solution of the system is established. An example is given to illustrate the feasibility of the obtained results.
机构地区 College of Science
出处 《International Journal of Biomathematics》 2016年第3期39-64,共26页 生物数学学报(英文版)
关键词 Discrete-time predator-prey system non-monotonic functional response per-manence global attractivity almost periodic solution. 捕食者-食饵 离散系统 概周期解 功能反应 Holling 持久性 充分条件 解的存在性
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