Traveling waves for n-species competitive system with nonlocal dispersals and delays

Jing Xia, Zhixian Yu, Yucai Dong and Hongyan Li

Applied Mathematics and Computation, 2016, vol. 287-288, 201-213

Abstract: This paper is concerned with traveling waves for n-species competitive Lotka–Volterra system with nonlocal dispersals and delays. Existence of traveling waves which connect the trivial equilibrium and the positive equilibrium indicates that there is a transition zone moving the steady state with no species to the steady state with the coexistence of n-species. In order to obtain the result, we first investigate the general theory for the general systems with the nonlocal dispersals by using Schauder’s fixed point theorem. Numerical simulations are carried out to illustrate the main theoretical results. The work obtained can be seen as a generalization of previous results.

Keywords: Traveling wave; Lotka–Volterra model; Nonlocal diffusion; Competition; Schauder’s fixed point theorem; Delay (search for similar items in EconPapers)
Date: 2016
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:287-288:y:2016:i::p:201-213

DOI: 10.1016/j.amc.2016.04.025

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