脉冲控制单猎物双捕食系统的动力学分析

Xiaomei Wang, S. Zhong
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摘要

本文利用生态学的理论和方法,利用常微分方程,建立了一个脉冲控制的单猎物双捕食系统。并考虑了猎物的全局渐近稳定和一个捕食者的消灭周期解。数值模拟结果与理论分析结果吻合较好,为研究生态系统动态复杂性提供了理论依据。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Dynamic Analysis of an Impulsively Controlled One-Prey Two-Predator System
In this paper, by using the theories and methods of ecology and ordinary differential equation, an impulsively controlled one-prey two-predator system is established. And we consider the globally asymptotically stable of prey and one predator eradication periodic solution. Furthermore, numerical simulations are also illustrated which agree well with our theoretical analysis, All these results may be useful in study of the dynamic complexity of ecosystems.
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