时滞奇异食饵-捕食者经济模型的稳定性与分岔

2012 Second International Conference on Intelligent System Design and Engineering Application Pub Date : 2012-01-06 DOI:10.1109/ISDEA.2012.661

Yue Zhang, Qingling Zhang

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引用次数: 0

摘要

本文从经济理论出发，研究了一类时滞奇异捕食者-猎物经济模型，该模型用微分代数方程来描述。描述了时滞奇异食饵-捕食者经济模型的局部稳定性和Hopf分岔条件。揭示了模型动力学对妊娠时间延迟的敏感性。当妊娠时间延迟增加到一定阈值时，出现Hopf分岔现象。数值模拟验证了理论分析的正确性。

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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Stability and Bifurcation of a Delayed Singular Prey-Predator Economic Model

This paper studies a delayed singular prey-predator economic model, which is described by differential-algebraic equations due to a economic theory. Local stability and Hopf bifurcation condition are described on the delayed singular prey-predator economic model. It reveals the sensitivity of the model dynamics on gestation time delay. A phenomenon of Hopf bifurcation occurs as the gestation time delay increases through a certain threshold. Numerical simulations are carried out to substantiate these theory analysis.

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2012 Second International Conference on Intelligent System Design and Engineering Application

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