Existence of Periodic Traveling Waves for Time-Periodic Lotka-Volterra Competition Systems With Delay

GU Yumeng; HUANG Mingdi

doi:10.21656/1000-0887.400275

Volume 41 Issue 6

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GU Yumeng, HUANG Mingdi. Existence of Periodic Traveling Waves for Time-Periodic Lotka-Volterra Competition Systems With Delay[J]. Applied Mathematics and Mechanics, 2020, 41(6): 658-668. doi: 10.21656/1000-0887.400275

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Existence of Periodic Traveling Waves for Time-Periodic Lotka-Volterra Competition Systems With Delay

doi: 10.21656/1000-0887.400275

School of Mathematics and Statistics, Xidian University,Xi’an 710071, P.R.China

Received Date: 2019-09-16
Rev Recd Date: 2020-01-01
Publish Date: 2020-06-01

Abstract

Abstract

A time-periodic reaction-diffusion Lotka-Volterra competition model with delay was considered. Under certain conditions, with the method of super- and sub-solutions and monotone iterations, the existence of time-periodic traveling waves connecting 2 semi-trivial periodic solutions of the corresponding kinetic system was proved with wave speed c*.Furthermore, the traveling wave solutions for c* were proved to be monotone with the comparison principle, and the asymptotic behaviors of traveling wave solutions were obtained at minus/plus infinity. Finally, the existence of traveling wave solutions was proved at wave speed c=c^*.
- diffusive competition system,
- delayed model,
- periodic traveling wave,
- asymptotic behavior

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References(16)

References

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