延迟单种群模型中扩散模式对Hopf分岔的影响

Int. J. Bifurc. Chaos Pub Date : 2023-04-01 DOI:10.1142/s0218127423500530

Yuanyuan Zhang, D. Huang, Shanshan Chen

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引用次数: 0

摘要

本文研究了一类具有斑块结构的延迟单种群模型，研究了该模型在分散率或增长率尺度参数较小时的Hopf分岔问题。分析了扩散模式的影响。研究表明，当增长率的标度参数较小时，扩散模式会影响Hopf分岔的发生;当扩散速率较小时，扩散模式会影响Hopf分岔的值。

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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The Effect of Dispersal Patterns on Hopf Bifurcations in a Delayed Single Population Model

In this paper, we consider a delayed single population model with patch structure, and investigate Hopf bifurcations when the dispersal rate or the scaling parameter of the growth rate is small. The effect of dispersal patterns is analyzed. We show that dispersal patterns affect the occurrence of Hopf bifurcations when the scaling parameter of the growth rate is small, and affect the values of Hopf bifurcations when the dispersal rate is small.

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Int. J. Bifurc. Chaos

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