Dynamics of a delayed population patch model with the dispersion matrix incorporating population loss

IF 2.3 4区数学 Q1 MATHEMATICS, APPLIED

European Journal of Applied Mathematics Pub Date : 2023-02-03 DOI:10.1017/s0956792523000049

D. Huang, Shanshan Chen

引用次数: 0

Abstract

In this paper, we consider a general single population model with delay and patch structure, which could model the population loss during the dispersal. It is shown that the model admits a unique positive equilibrium when the dispersal rate is smaller than a critical value. The stability of the positive equilibrium and associated Hopf bifurcation are investigated when the dispersal rate is small or near the critical value. Moreover, we show the effect of network topology on Hopf bifurcation values for a delayed logistic population model.

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具有包含种群损失的离散矩阵的延迟种群补丁模型的动力学

在本文中，我们考虑了一个具有延迟和补丁结构的一般单种群模型，该模型可以模拟扩散过程中的种群损失。结果表明，当扩散率小于临界值时，该模型允许一个独特的正平衡。研究了当扩散率很小或接近临界值时，正平衡和相关Hopf分岔的稳定性。此外，我们还展示了网络拓扑结构对延迟逻辑种群模型的Hopf分岔值的影响。

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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来源期刊

European Journal of Applied Mathematics 数学-应用数学

CiteScore

4.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Since 2008 EJAM surveys have been expanded to cover Applied and Industrial Mathematics. Coverage of the journal has been strengthened in probabilistic applications, while still focusing on those areas of applied mathematics inspired by real-world applications, and at the same time fostering the development of theoretical methods with a broad range of applicability. Survey papers contain reviews of emerging areas of mathematics, either in core areas or with relevance to users in industry and other disciplines. Research papers may be in any area of applied mathematics, with special emphasis on new mathematical ideas, relevant to modelling and analysis in modern science and technology, and the development of interesting mathematical methods of wide applicability.