Mathematical analysis of a modified Volterra-Leslie chemostat Model

IF 1.3 4区生物学 Q3 BIOLOGY

Theory in Biosciences Pub Date : 2024-04-09 DOI:10.1007/s12064-024-00415-6

Mohammed Amine Hamra

引用次数: 0

Abstract

In this paper, we investigate the asymptotic behavior of a modified chemostat model. We first demonstrate the existence of equilibria. Then, we present a mathematical analysis for the model, the invariance, the positivity, the persistence of the solutions, and the asymptotic global stability of the interior equilibrium. Some numerical simulations are carried out to illustrate the main results.

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修正的 Volterra-Leslie 化合模型的数学分析

在本文中，我们研究了修正的恒温模型的渐进行为。我们首先证明了均衡的存在。然后，我们对模型、解的不变性、实在性、持久性以及内部平衡的渐近全局稳定性进行了数学分析。为了说明主要结果，我们进行了一些数值模拟。

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

Theory in Biosciences 生物-生物学

CiteScore

2.70

自引率

9.10%

发文量

审稿时长

3 months

期刊介绍： Theory in Biosciences focuses on new concepts in theoretical biology. It also includes analytical and modelling approaches as well as philosophical and historical issues. Central topics are: Artificial Life; Bioinformatics with a focus on novel methods, phenomena, and interpretations; Bioinspired Modeling; Complexity, Robustness, and Resilience; Embodied Cognition; Evolutionary Biology; Evo-Devo; Game Theoretic Modeling; Genetics; History of Biology; Language Evolution; Mathematical Biology; Origin of Life; Philosophy of Biology; Population Biology; Systems Biology; Theoretical Ecology; Theoretical Molecular Biology; Theoretical Neuroscience & Cognition.