MINIMUM WAVE SPEED FOR A DIFFUSIVE COMPETITION MODEL WITH TIME DELAY

Wenzhang Huang; Yinshu Wu

doi:10.11948/2011014

2011 Volume 1 Issue 2

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Wenzhang Huang, Yinshu Wu. MINIMUM WAVE SPEED FOR A DIFFUSIVE COMPETITION MODEL WITH TIME DELAY[J]. Journal of Applied Analysis & Computation, 2011, 1(2): 205-218. doi: 10.11948/2011014

Citation:

Wenzhang Huang, Yinshu Wu. MINIMUM WAVE SPEED FOR A DIFFUSIVE COMPETITION MODEL WITH TIME DELAY[J]. Journal of Applied Analysis & Computation, 2011, 1(2): 205-218. doi: 10.11948/2011014

MINIMUM WAVE SPEED FOR A DIFFUSIVE COMPETITION MODEL WITH TIME DELAY

Department of Mathematical Sciences, University of Alabama, Huntsville, AL 35899, USA

Abstract

Abstract

In this paper we study mono-stable traveling wave solutions for a Lotka-Volterra reaction-diffusion competition model with time delay. By constructing upper and lower solutions, we obtain the precise minimum wave speed of traveling waves under certain conditions. Our results also extend the known results on the minimum wave speed for Lotka-Volterra competition model without delay.
- Lotka-Volterra competition model /
- Reaction-diffusion system /
- Time delay /
- Traveling waves /
- Minimum wave speed
MSC: 34K;35K

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References

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