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Population dynamics with nonlinear diffusion

Perry, D., Schaefer, J., Schilling, B., & Williams, M. (2006). Population dynamics with nonlinear diffusion. Rose-Hulman Undergraduate Mathematics Journal, 7(2), Article 1. https://scholar.rose-hulman.edu/rhumj/vol7/iss2/1

Abstract

We consider reaction diffusion models in population dynamics where the per capita growth rate is a logistic type or a weak Allee type. In particular, we study the effects of nonlinear diffusion (arising due to aggregative population movements) on the steady states. We obtain our results via the quadrature method.

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