Global dynamics of a class of temporally-discrete reaction-diffusion-advection models
The temporally-discrete and spatially-continuous reaction-diffusion model is one of the most important tools to describe diffusion behavior.In this paper,it is assumed that the diffusion of species depends not only on random diffusion but also on advection due to the local environment,a temporal-ly-discrete and spatially-continuous reaction-diffusion-advection model is established.The stability and existence of the equilibrium point of this model is analyzed by principal eigenvalue theory.It shows that advection based on the local environment is beneficial for population survival.
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