Bifurcation diagrams of population models with nonlinear, diffusion

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Abstract

We develop analytical and numerical tools for the equilibrium solutions of a class of reaction-diffusion models with nonlinear diffusion rates. Such equations arise from population biology and material sciences. We obtain global bifurcation diagrams for various nonlinear diffusion functions and several growth rate functions. © 2005 Elsevier B.V. All rights reserved.

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Lee, Y. H., Sherbakov, L., Taber, J., & Shi, J. (2006). Bifurcation diagrams of population models with nonlinear, diffusion. Journal of Computational and Applied Mathematics, 194(2), 357–367. https://doi.org/10.1016/j.cam.2005.08.004

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