Permanence and global attractivity of an impulsive ratio-dependent predator-prey system in a patchy environment
Permanence and global attractivity of an impulsive ratio-dependent predator-prey system in a patchy environment
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DOI：
10.1016/j.amc.2013.03.108
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发表时间：
2013-05
期刊：
影响因子：
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通讯作者：
Zijian Liu;S. Zhong;Z. Teng;Long Zhang
中科院分区：
文献类型：
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作者：
Zijian Liu;S. Zhong;Z. Teng;Long Zhang
本文研究了一种斑块环境中脉冲非自主的两物种捕食者-被捕食者Lotka-Volterra型扩散系统，其中猎物物种可以分散在n个不同的斑块中，但捕食者物种被限制在一个斑块内并且不能分散。基于不等式估计技术和脉冲微分方程的比较理论，得到了持久性和灭绝性可积形式的充分条件。通过构造适当的李亚普诺夫函数，建立了系统全局吸引力的条件。
This paper studies an impulsive nonautonomous two species predator–prey Lotka–Volterra type dispersal system in a patchy environment, in which the prey species can disperse among n different patches, but the predator species is confined to one patch and cannot disperse. On the basis of inequality estimation techniques and the comparison theory of impulsive differential equations, sufficient conditions of integrable form for the permanence and extinction are obtained. By constructing appropriate Lyapunov function, conditions for the global attractivity of the system are established.