Article

Journal of Dynamics and Differential Equations

, Volume 22, Issue 2, pp 285-297

Problem on Minimum Wave Speed for a Lotka–Volterra Reaction–Diffusion Competition Model

  • Wenzhang HuangAffiliated withDepartment of Mathematical Sciences, University of Alabama in Huntsville Email author 

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Abstract

In this paper, by the instruction of an upper and a lower solutions and with the use of monotone iteration approach we obtain the precise minimum wave speed for the Lotka–Volterra competition model under some conditions on the parameters. Our results extended the known results in literature.

Keywords

Reaction–diffusion equation Competition model Traveling waves Minimum wave speed