Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4614052 | Journal of Mathematical Analysis and Applications | 2017 | 17 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Sergio Fernández-Rincón, Julián López-Gómez,