Traveling wavefronts of competing pioneer and climax model with nonlocal diffusion (Q370156)

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scientific article; zbMATH DE number 6209416
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Traveling wavefronts of competing pioneer and climax model with nonlocal diffusion
scientific article; zbMATH DE number 6209416

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    Traveling wavefronts of competing pioneer and climax model with nonlocal diffusion (English)
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    19 September 2013
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    Summary: We study a competing pioneer-climax species model with nonlocal diffusion. By constructing a pair of upper-lower solutions and using the iterative technique, we establish the existence of traveling wavefronts connecting the pioneer-existence equilibrium and the coexistence equilibrium. We also discuss the asymptotic behavior of the wave tail for the traveling wavefronts as \(s = x + ct \to -\infty\).
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