具有非局部扩散Lotka-Volterra竞争系统的波速选择  

Wave speed selection of Lotka-Volterra competitive system with nonlocal diffusion

作　　者：秦雨 QIN Yu(School of Mathematics and Statistics,Xidian University,Xi'an 710071,Shaanxi,China)

机构地区：[1]西安电子科技大学数学与统计学院,陕西西安710071

出　　处：《西北师范大学学报（自然科学版）》2022年第3期11-17,共7页Journal of Northwest Normal University(Natural Science)

基　　金：国家自然科学基金资助项目(11671315);陕西省杰出青年基金资助项目(2020JC-24)。

摘　　要：研究一类具有非局部扩散Lotka-Volterra竞争系统的最小波速选择机制.首先,将竞争系统转化为合作系统;其次,运用上下解方法分别给出最小波速是线性选择和非线性选择的充分条件;最后,基于比较原理构造合适的上下解,给出了判断最小波速线性选择或非线性选择的参数范围.This paper deals with the minimum wave speed selection mechanism for a class of Lotka-Volterra competitive systems with nonlocal diffusion.First,the competitive system is transformed into a cooperative system.Then,the sufficient conditions that the minimum wave speed is linear and nonlinear are given by using the upper and lower solution method.Finally,the appropriate upper and lower solutions are constructed by aid of the comparison principle,and the parameter range is given to judge the linear or nonlinear selection of the minimum wave speed.

关 键 词：非局部扩散 LOTKA-VOLTERRA竞争系统 速度选择 行波解 上下解 

分 类 号：O175.2[理学—数学]