Abstract
In this paper we study the interactions between diffusion and heterogeneity of the environment in the classical diffusive Lotka-Volterra competition systems. In the weak competition case, we establish the uniqueness, hence the global asymptotic stability, of coexistence steady states under various circumstances, and thereby we obtain a complete understanding of the change in dynamics when one of the interspecific competition coefficients is small.
Original language | English (US) |
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Pages (from-to) | 1695-1712 |
Number of pages | 18 |
Journal | SIAM Journal on Applied Mathematics |
Volume | 72 |
Issue number | 6 |
DOIs | |
State | Published - 2012 |
Keywords
- Lotka-Volterra
- Mathematical ecology
- Reaction-diffusion
- Spatial heterogeneity