一类非对称非局部扩散系统双稳行波解的稳定性  

Stability of bistable waves for a class of system with asymmetric and nonlocal dispersal

作　　者：李丝雨 杨赟瑞 LI Siyu;YANG Yunrui(School of Mathematics and Physics,Lanzhou Jiaotong University,Lanzhou 730070,Gansu,China)

机构地区：[1]兰州交通大学数理学院,甘肃兰州730070

出　　处：《山东大学学报(理学版)》2025年第4期40-49,共10页Journal of Shandong University(Natural Science)

基　　金：国家自然科学基金资助项目(12361038)。

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。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.

关 键 词：非对称非局部扩散 双稳行波解 稳定性 

分 类 号：O175[理学—数学]