Traveling Wave Solutions for Some Three-Species Predator-Prey Systems

Authors

  • Jong-Shenq Guo

DOI:

https://doi.org/10.5556/j.tkjm.52.2021.4029

Keywords:

predator-prey model, traveling wave, wave speed, upper-lower-solution.

Abstract

In this paper, we present some recent developments on the application of Schauder’s fixed point theorem to the existence of traveling waves for some three-species predator-prey systems. The existence of traveling waves of predator-prey systems is closely related to the invasion phenomenon of some alien species to the habitat of aboriginal species. Three different three-species predator-prey models with different invaded and invading states are presented. In this paper, we focus on the methodology of deriving the convergence of stale tail of wave profiles.

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Published

2021-01-31

How to Cite

Guo, J.-S. (2021). Traveling Wave Solutions for Some Three-Species Predator-Prey Systems. Tamkang Journal of Mathematics, 52(1), 25-36. https://doi.org/10.5556/j.tkjm.52.2021.4029