e-journal

On a model of a population with variable motility

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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.

Keywords: Reaction–diffusion equations; Hamilton–Jacobi equations; structured populations;asymptotic analysis.

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Informasi Detail

Judul Seri

Mathematical Models and Methods in Applied Sciences

No. Panggil

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Penerbit

: World Scientific., 2015

Deskripsi Fisik

Mathematical Models and Methods in Applied Sciences Vol. 25, No. 10 (2015) 1961–2014

Bahasa

English

ISBN/ISSN

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Klasifikasi

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Tipe Isi

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Tipe Media

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Tipe Pembawa

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Edisi

Vol. 25, No. 10 (2015)

Subjek

KESEHATAN

Info Detail Spesifik

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Pernyataan Tanggungjawab

Wati/Agus

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