非局部扩散三种群竞争系统的双稳行波解的Lyapunov稳定性  

Lyapunov stability of bistable traveling wave solutions for a three-species competition system with nonlocal dispersal

作　　者：张国宝 郝玉财 ZHANG Guo-bao;HAO Yu-cai(College of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070,Gansu,China)

机构地区：[1]西北师范大学数学与统计学院,甘肃兰州730070

出　　处：《西北师范大学学报（自然科学版）》2022年第3期6-10,30,共6页Journal of Northwest Normal University(Natural Science)

基　　金：国家自然科学基金资助项目(11861056);甘肃省教育厅青年博士基金资助项目(2021QB-018)。

摘　　要：研究具有非局部扩散的三种群Lotka-Volterra竞争系统的非零波速双稳行波解的Lyapunov稳定性.该系统产生于三种群竞争模型,其中两个种群之间没有竞争关系.利用严格单调的行波解构造适当的上下解,证明了该系统非零波速的双稳行波解的Lyapunov稳定性.The Lyapunov stability of bistable traveling wave solutions with nonzero speed is discussed for a three-species Lotka-Volterra system with nonlocal dispersal.This system arises from three species competition model in which there is no competition between two of the three species.By constructing some suitable super-sub-solutions based on these strictly monotone traveling wave solutions,the Lyapunov stability of nonzero speed traveling wave solutions of this system is proved.

关 键 词：三种群竞争系统 非局部扩散 双稳行波解 LYAPUNOV稳定性 

分 类 号：O175.13[理学—数学]