Monostable wavefronts in cooperative Lotka-Volterra systems with nonlocaldelays

Guo Lin; Wan-Tong Li; Shigui Ruan

doi:10.3934/dcds.2011.31.1

Article Contents

2011, Volume 31, Issue 1: 1-23. Doi: 10.3934/dcds.2011.31.1

This issue Previous Article Next Article Non-integrability of the degenerate cases of the Swinging Atwood's Machine using higher order variational equations

Monostable wavefronts in cooperative Lotka-Volterra systems with nonlocal delays

1.
School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu 730000
2.
School of Mathematic and Statistics, Lanzhou University, Lanzhou, Gansu 730000
3.
Department of Mathematics, University of Miami, Coral Gables, FL 33124-4250

Received: December 31, 2009

Revised: March 31, 2011

Published: December 2010

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Abstract

This paper is concerned with traveling wavefronts in a Lotka-Volterra model with nonlocal delays for two cooperative species. By using comparison principle, some existence and nonexistence results are obtained. If the wave speed is larger than a threshold which can be formulated in terms of basic parameters, we prove the asymptotic stability of traveling wavefronts by the spectral analysis method together with squeezing technique.

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Mathematics Subject Classification: 35K57, 35R20, 92D25.

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