A Nonlinear Problem in Age-Dependent Population Diffusion

198586 citationsJournal Article

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Abstract

A nonlinear partial differential equation arising in a model of age-dependent population diffusion with random dispersal is analysed. Using the nonlinear parabolic equation satisfied by the spatial structure and a delay to handle nonlinearities we derive existence results; in simple situations we outline the asymptotic behaviour.

Topics & Keywords

Mathematical and Theoretical Epidemiology and Ecology Models Evolution and Genetic Dynamics Mathematical Biology Tumor Growth

UN Sustainable Development Goals

Reduced inequalities

Publication Details

Published in: SIAM Journal on Mathematical Analysis

Volume 16, Issue 3, pp. 510-529

DOI: 10.1137/0516037

Field-Weighted Citation Impact: 1.71