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

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。

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.