Dynamics of competing species in a reaction-diffusive chemostat model with an internal inhibitor

IF 1.8 3区 数学 Q1 MATHEMATICS, APPLIED
Wang Zhang, Hongling Jiang
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引用次数: 0

Abstract

This paper investigates the unstirred chemostat model in the presence of an internal inhibitor. The primary objective is to establish the threshold dynamics of this system concerning inhibitor parameters, growth rates and diffusion rates. The theoretical analysis indicates the existence of several critical curves, which categorize the dynamics into three scenarios: (1) extinction of both species; (2) competitive exclusion; and (3) coexistence. Additionally, the numerical results reveal a tradeoff driven coexistence mechanism influenced by relevant parameters. Notably, the bistable phenomenon consistently arises due to the effects of inhibitors. Finally, we examine the impact of diffusion rates on the competitive outcomes of the two species across different competition scenarios. These new findings may have significant biological implications for the interactions between the two species competing in the unstirred chemostat model with an internal inhibitor.
带有内部抑制剂的反应扩散恒温器模型中竞争物种的动态变化
本文研究了在内部抑制剂存在的情况下,未搅拌的恒化模型。主要目的是建立该系统关于抑制剂参数、生长速率和扩散速率的阈值动力学。理论分析表明,存在几个临界曲线,将动力学分为三种情景:(1)两个物种都灭绝;(二)竞争性排斥;(3)共存。此外,数值结果还揭示了受相关参数影响的权衡驱动共存机制。值得注意的是,由于抑制剂的作用,双稳态现象一直出现。最后,我们考察了在不同竞争情景下,扩散速率对两物种竞争结果的影响。这些新发现可能对两个物种在具有内部抑制剂的未搅拌趋化模型中竞争的相互作用具有重要的生物学意义。
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
CiteScore
3.80
自引率
5.00%
发文量
176
审稿时长
59 days
期刊介绍: Nonlinear Analysis: Real World Applications welcomes all research articles of the highest quality with special emphasis on applying techniques of nonlinear analysis to model and to treat nonlinear phenomena with which nature confronts us. Coverage of applications includes any branch of science and technology such as solid and fluid mechanics, material science, mathematical biology and chemistry, control theory, and inverse problems. The aim of Nonlinear Analysis: Real World Applications is to publish articles which are predominantly devoted to employing methods and techniques from analysis, including partial differential equations, functional analysis, dynamical systems and evolution equations, calculus of variations, and bifurcations theory.
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