一类非对称非局部扩散系统双稳行波解的稳定性

doi:10.6040/j.issn.1671-9352.0.2024.184

摘要/Abstract

摘要： 考虑一类非对称非局部扩散系统的双稳行波解的稳定性。在双稳行波解存在的基础上, 借助上下解方法结合单调半流的收敛性结果得到双稳行波解的全局稳定性,并通过分析技术建立双稳行波解的唯一性。

Abstract: This paper considers the stability of bistable traveling wave solutions for a class of system with asymmetric and nonlocal dispersal. On the basis of the existence of bistable waves, the global stability of bistable waves is obtained with the help of the method of super-and sub-solutions combining with the convergence results of monotone semiflows. Then, the uniqueness of bistable waves is established by using the analysis techniques.

Key words: asymmetric and nonlocal dispersal, bistable traveling waves, stability

中图分类号:

O175

李丝雨,杨赟瑞. 一类非对称非局部扩散系统双稳行波解的稳定性[J]. 《山东大学学报(理学版)》, 2025, 60(4): 40-49.

LI Siyu, YANG Yunrui. Stability of bistable waves for a class of system with asymmetric and nonlocal dispersal[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2025, 60(4): 40-49.

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