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

Author

Listed:
  • Ma, Zhaohai
  • Wu, Xin
  • Yuan, Rong

Abstract

This paper is concerned with nonlinear stability of traveling wavefronts for competitive-cooperative Lotka–Volterra systems of three species. It is proved that all traveling wavefronts with speed c > c* are exponentially stable in L∞ space by the weighted energy method and comparison principle. Moreover, the time decay rates are obtained by weighted energy estimates.

Suggested Citation

  • Ma, Zhaohai & Wu, Xin & Yuan, Rong, 2017. "Nonlinear stability of traveling wavefronts for competitive-cooperative Lotka–Volterra systems of three species," Applied Mathematics and Computation, Elsevier, vol. 315(C), pages 331-346.
    • Handle: RePEc:eee:apmaco:v:315:y:2017:i:c:p:331-346
    DOI: 10.1016/j.amc.2017.07.068
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