Asymptotic Spreading Fastened by Inter-Specific Coupled Nonlinearities: a Cooperative System

Details Asymptotic Spreading Fastened by Inter-Specific Coupled Nonlinearities: a Cooperative System Asymptotic Spreading Fastened by Inter-Specific Coupled Nonlinearities: a Cooperative System

2010-08-26

arxiv.org/abs/1008.4507v2

Mathematics

Dynamical Systems

17 pages

Scientific paper

10.1016/j.physd.2011.12.007

This paper is concerned with the asymptotic spreading of a Lotka-Volterra cooperative system. By using the theory of asymptotic spreading of nonautonomous equations, the asymptotic speeds of spreading of unknown functions formulated by a coupled system are estimated. Our results imply that the asymptotic spreading of one species can be significantly fastened by introducing a mutual species, which indicates the role of cooperation described by the coupled nonlinearities.

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