A Complex Dynamic of an Eco-Epidemiological Mathematical Model with Migration

Q3 Mathematics

Abstract and Applied Analysis Pub Date : 2024-03-07 DOI:10.1155/2024/3312472

Assane Savadogo, B. Sangaré, Wendkouni Ouedraogo

引用次数: 0

Abstract

In this paper, we propose an eco-epidemiological mathematical model in order to describe the effect of migration on the dynamics of a prey–predator population. The functional response of the predator is governed by the Holling type II function. First, from the perspective of mathematical results, we develop results concerning the existence, uniqueness, positivity, boundedness, and dissipativity of solutions. Besides, many thresholds have been computed and used to investigate the local and global stability results by using the Routh–Hurwitz criterion and Lyapunov principle, respectively. We have also established the appearance of limit cycles resulting from the Hopf bifurcation. Numerical simulations are performed to explore the effect of migration on the dynamic of prey and predator populations.

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生态流行病学数学模型与迁移的复杂动态关系

在本文中，我们提出了一个生态流行病学数学模型，以描述迁徙对猎物-捕食者种群动态的影响。捕食者的功能响应受霍林二型函数支配。首先，从数学结果的角度出发，我们提出了有关解的存在性、唯一性、正向性、有界性和离散性的结果。此外，我们还计算了许多阈值，并利用 Routh-Hurwitz 准则和 Lyapunov 原则分别研究了局部和全局稳定性结果。我们还确定了霍普夫分岔导致的极限循环的出现。我们还进行了数值模拟，以探讨迁移对猎物和捕食者种群动态的影响。

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

Abstract and Applied Analysis 数学-数学

CiteScore

2.30

自引率

0.00%

发文量

审稿时长

3.5 months

期刊介绍： Abstract and Applied Analysis is a mathematical journal devoted exclusively to the publication of high-quality research papers in the fields of abstract and applied analysis. Emphasis is placed on important developments in classical analysis, linear and nonlinear functional analysis, ordinary and partial differential equations, optimization theory, and control theory. Abstract and Applied Analysis supports the publication of original material involving the complete solution of significant problems in the above disciplines. Abstract and Applied Analysis also encourages the publication of timely and thorough survey articles on current trends in the theory and applications of analysis.