具有Holling IV型函数响应的捕食-食饵系统的全局稳定性和周期性

2011 Fourth International Conference on Information and Computing Pub Date : 2011-04-25 DOI:10.1109/ICIC.2011.68

Hongwei Zhao

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摘要

本文利用可比性定理、重合度理论和Lyapunov函数，研究了一类具有双密度限制和Holling IV型泛函响应的捕食-食饵系统的持续性，以及其全局正周期解的存在性和全局稳定性。得到了该周期系统全局渐近稳定正周期解存在的充分条件。获得了一些新的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Global Stability and Periodicity of Predator-Prey System with Holling IV Type Functional Response

In this paper, we investigate the persistence of a class of predator-prey system with double density restrict and Holling IV type functional response, the existence and the global stability of its global positive periodic solution by using Comparability Theorem, Coincidence Degree Theory and Lyapunov functions. We obtain the sufficient conditions which guarantee the existence of the global asymptotic stable positive periodic solution of the periodic system. Some new results obtained.

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2011 Fourth International Conference on Information and Computing

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