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• W2163120864 abstract "We study a reaction-diffusion equation with a nonlocal reaction term that models a population with variable motility. We establish a global supremum bound for solutions of the equation. We investigate the asymptotic (long-time and long-range) behavior of the population. We perform a certain rescaling and prove that solutions of the rescaled problem converge locally uniformly to zero in a certain region and stay positive (in some sense) in another region. These regions are determined by two viscosity solutions of a related Hamilton-Jacobi equation." @default.
• W2163120864 created "2016-06-24" @default.
• W2163120864 creator A5063797683 @default.
• W2163120864 date "2015-06-22" @default.
• W2163120864 modified "2023-09-27" @default.
• W2163120864 title "On a model of a population with variable motility" @default.
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• W2163120864 doi "https://doi.org/10.1142/s0218202515500505" @default.
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