Nonlinear stability of traveling wavefronts for competitive-cooperative Lotka–Volterra systems of three species

作者：

Highlights：

• Nonlinear stability of traveling waves of three species is obtained by weighted energy method and comparison without using the characteristic function.

• The time decay rate is also obtain by weighted energy estimates.

• We give the exact traveling wave solutions of the competitive-cooperative Lotka–Volterra systems of three species.

• Numerical simulations to illustrate the main results.

摘要

•Nonlinear stability of traveling waves of three species is obtained by weighted energy method and comparison without using the characteristic function.•The time decay rate is also obtain by weighted energy estimates.•We give the exact traveling wave solutions of the competitive-cooperative Lotka–Volterra systems of three species.•Numerical simulations to illustrate the main results.

论文关键词：Matrix equation,Stability,Competitive-cooperative system,Traveling waves,Weighted energy method

论文评审过程：Received 11 March 2017, Revised 10 May 2017, Accepted 30 July 2017, Available online 12 August 2017, Version of Record 12 August 2017.

论文官网地址：https://doi.org/10.1016/j.amc.2017.07.068