Permanence and almost periodic solution of a Lotka-Volterra model with mutual interference and time delays

Zengji Du; Yansen Lv

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Permanence and almost periodic solution of a Lotka-Volterra model with mutual interference and time delays

机译：具有相互干扰和时滞的Lotka-Volterra模型的持久性和几乎周期解

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摘要

In this paper, a Volterra model with mutual interference and time delays is investigated. 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. Two suitable examples together with their numeric simulations are given to illustrate our results by using MatLab.

机译：本文研究了具有相互干扰和时滞的Volterra模型。通过应用微分方程的比较定理并构造一个合适的Lyapunov泛函，可以获得足够的条件，该条件保证了系统唯一全局吸引的正周期解的持久性和存在性。通过使用MatLab，给出了两个合适的示例及其数值模拟，以说明我们的结果。

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来源
《Applied Mathematical Modelling》 |2013年第3期|1054-1068|共15页
作者
Zengji Du; Yansen Lv;
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作者单位

School of Mathematical Sciences, Jiangsu Normal University, Xuzhou, jiangsu 221116, PR China;

School of Mathematical Sciences, Jiangsu Normal University, Xuzhou, jiangsu 221116, PR China;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
lotka-volterra model; almost periodic solution; mutual interference; time delays; permanence; global attractivity;

机译：Lotka-Volterra模型;几乎周期的解决方案;相互干扰;时间延迟;恒久全球吸引力;

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Permanence and almost periodic solution of a Lotka-Volterra model with mutual interference and time delays

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