Article ID Journal Published Year Pages File Type
5774863 Journal of Mathematical Analysis and Applications 2017 24 Pages PDF
Abstract
In this paper, we consider the positive steady states for reaction-diffusion-advection competition models in the whole space with a spatially periodic structure. Under the spatially periodic setting, we establish sufficient conditions for the existence of positive steady states of this model, respectively, by investigating the sign of the principal eigenvalue for some linearized eigenvalue problems. As an application, a Lotka-Volterra reaction-diffusion-advection model for two competing species in a spatially periodic environment is considered. Finally, some numerical simulations are presented to seek dynamical behaviors.
Related Topics
Physical Sciences and Engineering Mathematics Analysis
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