Traveling wave solutions in a Lotka-Volterra type competition recursion

Advances in Difference Equations

Shuxia Pan¹  Pan Yang³ 

[1] Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou, People’School of Mathematics and Statistics, Lanzhou University, Lanzhou, People’s Republic of China

关键词: competitive interaction;    spreading speed;    invasion and coexistence;   

DOI  :  10.1186/1687-1847-2014-173

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper is concerned with the traveling wave solutions of a competitive integrodifference system with Lotka-Volterra type nonlinearity. The existence of traveling wave solutions is proved by constructing generalized upper and lower solutions. The asymptotic behavior of traveling wave solutions is established by combining the theory of asymptotic spreading with the idea of contracting rectangles. The nonexistence of monotone traveling wave solutions is also confirmed by the theory of asymptotic spreading.

【 授权许可】

CC BY