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, 1-12

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 .

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:725495

DOI: 10.1155/2013/725495

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