Existence and stability of traveling wave fronts for discrete three species competitive-cooperative systems

Cheng Hsiung Hsu, Jian Jhong Lin, Shi Liang Wu

Research output: Contribution to journalArticlepeer-review

Abstract

The purpose of this work is to investigate the existence and stability of traveling wavefronts for competitive-cooperative systems with three species. The existence result can be derived by using the technique of monotone method with the help of a pair of explicit supersolution and subsolution. Moreover, some sufficient conditions ensure the linear determinacy for the minimal speed is given. Then, applying the weighted energy method, we prove that the traveling wavefronts are asymptotically stable in the weighted Banach spaces provided that the initial perturbations of the traveling wavefronts also belong to the same spaces.

Original languageEnglish
Pages (from-to)4151-4181
Number of pages31
JournalMathematical Biosciences and Engineering
Volume16
Issue number5
DOIs
StatePublished - 2019

Keywords

  • Monotone system
  • Subsolution
  • Supersolution
  • Traveling wavefronts
  • Weighted energy estimate

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