The paper deals with the asymptotic dynamics of a diffusive Lotka-Volterra competition model with periodic coefficients and zero-flux boundary conditions acting on a spatially isotropic and temporally periodic evolving domain. We determine sufficient conditions for the global stability of the spatially homogeneous positive periodic solution. Moreover, the phenomenon of competitive exclusion is investigated.
Diffusive Lotka-Volterra competition models on periodically evolving domains
Cappelletti Montano; M.
;
2019
Abstract
The paper deals with the asymptotic dynamics of a diffusive Lotka-Volterra competition model with periodic coefficients and zero-flux boundary conditions acting on a spatially isotropic and temporally periodic evolving domain. We determine sufficient conditions for the global stability of the spatially homogeneous positive periodic solution. Moreover, the phenomenon of competitive exclusion is investigated.File in questo prodotto:
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