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具有避难所的非自治修正Leslie-Gower捕食-食饵系统持久性和全局吸引性研究 被引量:3

On permanence and global attractivity of a nonautonomous modified Leslie-Gower predator-prey system incorporating a prey refuge
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摘要 研究一类食饵具有避难所的非自治修正Leslie-Gower捕食-食饵系统.借助于微分方程比较原理和通过构造适当的Lyapunov函数方法,得到了保证系统持久和全局吸引性的充分性条件. A nonautonomous modified Leslie-Gower predator-prey system incorporating a prey refuge is studied in this paper.By applying the comparison theorem of differential equations and constructing a suitable Lyapunov function,we obtain a set of sufficient conditions which guarantee the permanence and global attractivity of the system.
出处 《闽江学院学报》 2012年第5期13-16,共4页 Journal of Minjiang University
基金 福建省自然科学基金(2011J01007) 福建省科技创新平台项目(2009J1007)
关键词 避难所 持久性 比较原理 全局吸引性 refuge permanence comparison theorem global attractivity
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