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

  • 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.
    MSC: 34K;35K
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  • [1] K. Gopalsamy, Time lags and global stability in two-species competition, Bulletin of Mathematical Biology, 42:5(1980), 729-737.

    Google Scholar

    [2] Y. Hosono, The minimal speed of traveling fronts for a diffusive Lotka-Volterra competition model, Bull. Math. Biol., 60(1998), 435-448.

    Google Scholar

    [3] W. Huang, Problem on minimum wave speed for a Lotka-Volterra ReactionDiffusion Competition model, J Dyn Diff Equat, 22(2010), 285-297.

    Google Scholar

    [4] M.A. Lewis, B. Li and H.F. Weinberger, H.F. Spreading speed and linear determinacy for two-species competition models, J. Math. Biol., 45(2002), 219-233.

    Google Scholar

    [5] B. Li, H.F. Weinberger and M.A. Lewis, Spreading speeds as slowest wave speeds for cooperative systems, Math. Biosci., 196(2005), 82-98.

    Google Scholar

    [6] G. Lin and W-T. Li, Bistable wavefronts in a diffusive and competitive LotkaVolterra type system with nonlocal delays, J. Diff. Equan., 244(2008), 487-513.

    Google Scholar

    [7] A.I. Volpert, V.A Volpert and Vl. A. Volpert, Traveling Wave Solutions of Parabolic Systems, Tran. Math. Monographs, AMS, 140, 1994.

    Google Scholar

    [8] J. Zhen and Z. Ma, Stability for a competitive Lotka-Volterra system with delays, Nonlinear Analysis:Theory, Methods & Applications, 51:7(2002), 1131-1142.

    Google Scholar

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