对改进的 Volterra-Leslie 恒化器模型的数学分析。
Mathematical analysis of a modified Volterra-Leslie chemostat Model.
机构信息
University Centre Of Maghnia, Maghnia, Algeria.
出版信息
Theory Biosci. 2024 Jun;143(2):123-129. doi: 10.1007/s12064-024-00415-6. Epub 2024 Apr 9.
PMID:38592425
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.
摘要
在本文中，我们研究了修正的恒化器模型的渐近行为。我们首先证明了平衡点的存在性。然后，我们对模型进行了数学分析，包括不变性、正定性、解的持久性以及内部平衡点的渐近全局稳定性。进行了一些数值模拟以说明主要结果。
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