A singular perturbation result in competition theory

作者:Fernandez Rincon Sergio; Lopez Gomez Julian*
来源:Journal of Mathematical Analysis and Applications, 2017, 445(1): 280-296.
DOI:10.1016/j.jmaa.2016.07.065

摘要

This paper establishes a generalized version of the singular perturbation results given by V. Hutson et al. [10, Theorem 4.1] and X. He and W.M. Ni [6, Theorem 4.2 (iii)]. In particular, it ascertains the limiting profiles of the coexistence states of the classical Lotka-Volterra model for two competing species as the diffusion coefficients approximate zero. They are provided by the global attractors of the underlying non-spatial model whenever they exist.

  • 出版日期2017-1-1