细菌降解宿主组织模型行波解的局部渐近行为
Local Asymptotic Behavior of Traveling-Wave Solutions for Bacterial Degradation of Host Tissue Models
DOI: 10.12677/PM.2022.1211212, PDF,    科研立项经费支持
作者: 彭 叠：南华大学数理学院，湖南 衡阳；南华大学资源环境与安全工程学院，湖南 衡阳；易亚婷：南华大学数理学院，湖南 衡阳
关键词: 细菌降解宿主组织；行波解；渐近分析；Bacterial Degradation Host Tissue； Traveling-Wave Solution； Asymptotic Analysis
摘要: 本文针对一类细菌降解宿主组织模型的行波解，为了研究行波解的局部稳定性，我们需要研究其渐近行为。我们将竞争系统转化为合作系统，讨论平衡点的类型和稳定性，并利用比较原理和渐近分析的方法，研究了它在不稳定点的渐近行为。
Abstract: In this paper, we aim at the traveling-wave solution of a class of bacterial degradation host tissue models. In order to study the local stability of the traveling-wave solution, we need to study its asymptotic behavior. We transform a competitive system into a cooperative system, discuss the types and stability of equilibrium points, and study its asymptotic behavior at unstable points using the method of comparison principle and asymptotic analysis.
文章引用：彭叠, 易亚婷. 细菌降解宿主组织模型行波解的局部渐近行为[J]. 理论数学, 2022, 12(11): 1966-1970. https://doi.org/10.12677/PM.2022.1211212

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