Traveling Wavefronts of Competing Pioneer and Climax Model with Nonlocal Diffusion

Xiaojing Yu, Peixuan Weng and Yehui Huang

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: 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 → −∞.

Date: 2013
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https://doi.org/10.1155/2013/725495

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:725495

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