细菌降解宿主组织模型波前解的全局稳定性
Global Stability of Traveling Wavefronts for a Model Describing Host Tissue Degradation by Bacteria
DOI: 10.12677/pm.2025.1512290, PDF,    国家自然科学基金支持
作者: 张 敏, 张国宝*：西北师范大学数学与统计学院，甘肃 兰州
关键词: 宿主组织降解；细菌感染；波前解；全局稳定性；Host Tissue Degradation； Bacterial Infection； Traveling Wavefronts； Global Stability
摘要: 对于细菌降解宿主组织模型，Yang-Zhang-Tian已研究了波前解的全局稳定性。然而，其稳定性结论需要较为严格的参数条件，导致参数取值范围较小。本文通过采用傅里叶变换以及具有适当加权函数的加权能量方法，证明了在其他参数条件下波前解依然稳定，扩大了参数的可取范围。
Abstract: For a model describing bacterial degradation of host tissues by bacteria, the global stability of the traveling wavefronts were proved by Yang-Zhang-Tian. However, the stability result needs more stronger conditions on the parameters, which may result in a small range of parameters. In this paper, by using Fourier’s transform and the weighted energy method with a suitably selected weighted function, we prove that the wavefronts remain stable under other conditions, which can increase the range of parameters.
文章引用：张敏, 张国宝. 细菌降解宿主组织模型波前解的全局稳定性[J]. 理论数学, 2025, 15(12): 24-33. https://doi.org/10.12677/pm.2025.1512290

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