Dynamical behaviors of a delayed reaction-diffusion equation (Q629570)

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scientific article; zbMATH DE number 5863386
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Dynamical behaviors of a delayed reaction-diffusion equation
scientific article; zbMATH DE number 5863386

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    Dynamical behaviors of a delayed reaction-diffusion equation (English)
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    9 March 2011
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    Summary: We derive a delayed reaction-diffusion equation to describe a two-species predator-prey system with diffusion terms and stage structure. By coupling the uniformly approximate approach with the method of upper and lower solutions, we prove that the traveling wave fronts exist, which connect the zero solution with the positive steady state.
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    two-species predator-prey system
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    method of upper and lower solutions
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