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Existence and Uniqueness of Positive and Bounded Solutions of a Discrete Population Model with Fractional Dynamics
2017
Discrete Dynamics in Nature and Society
We depart from the well-known one-dimensional Fisher's equation from population dynamics and consider an extension of this model using Riesz fractional derivatives in space. Positive and bounded initial-boundary data are imposed on a closed and bounded domain, and a fully discrete form of this fractional initial-boundary-value problem is provided next using fractional centered differences. The fully discrete population model is implicit and linear, so a convenient vector representation is
doi:10.1155/2017/5716015
fatcat:44efafqwuvb3xn4x6stugczbui