具有阶段结构的扩散捕食-食饵系统的分岔分析

IF 1.2 3区数学 Q1 MATHEMATICS

Journal of Mathematical Analysis and Applications Pub Date : 2025-07-05 DOI:10.1016/j.jmaa.2025.129850

Qianqian Sun , Chunjin Wei , Junjie Wei

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引用次数: 0

摘要

本文研究了一类具有阶段结构的扩散捕食-食饵系统的动力学问题。利用上下解法和比较原理证明了解的非负性。然后通过分析特征值的分布来确定正常稳态解的稳定性。在此基础上，给出了参数平面上的分岔集，该分岔集反映了动力学随参数变化的规律。进一步探讨了潜在的Hopf分岔。最后，数值模拟验证了理论预测并说明了模型动力学。

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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Bifurcation analysis of a diffusive predator-prey system with stage structure

In this paper, we consider the dynamics of a diffusive predator-prey system with stage structure. The upper-lower solution method and the comparison principle are used in proving the nonnegativity of the solutions. Then the stability of the positive constant steady state solutions is determined by analyzing the distribution of the eigenvalues. Based on the analysis, a bifurcation set in a parameters plane is given, which shows how the dynamics change as the parameters vary. Furthermore, the potential Hopf bifurcations are explored. Finally, numerical simulations validate theoretical predictions and illustrate model dynamics.

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来源期刊

Journal of Mathematical Analysis and Applications 数学-数学

CiteScore

2.50

自引率

7.70%

发文量

790

审稿时长

6 months

期刊介绍： The Journal of Mathematical Analysis and Applications presents papers that treat mathematical analysis and its numerous applications. The journal emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions. Papers are sought which employ one or more of the following areas of classical analysis: • Analytic number theory • Functional analysis and operator theory • Real and harmonic analysis • Complex analysis • Numerical analysis • Applied mathematics • Partial differential equations • Dynamical systems • Control and Optimization • Probability • Mathematical biology • Combinatorics • Mathematical physics.