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

Dynamical Systems 2012-01-06 v2 Analysis of PDEs Functional Analysis

Abstract

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.

Keywords

Cite

@article{arxiv.1008.4507,
  title  = {Asymptotic Spreading Fastened by Inter-Specific Coupled Nonlinearities: a Cooperative System},
  author = {Guo Lin},
  journal= {arXiv preprint arXiv:1008.4507},
  year   = {2012}
}

Comments

17 pages

R2 v1 2026-06-21T16:05:30.877Z