A nonlinear problem for age-structured population dynamics with spatial diffusion

Ousseynou Nakoulima, Abdennebi Omrane, Jean Velin

DOI: http://dx.doi.org/10.12775/TMNA.2001.018

Abstract


We consider a nonlinear model for age-dependent population
dynamics subject to a density dependent factor which regulates
the selection of newborn at age zero.
The initial-boundary value problem is studied
using a vanishing viscosity method (in the age direction) together
with the fixed point theory. Existence and uniqueness are
obtained, and also the positivity of the solution to the problem.

Keywords


Density of age structured population; nonlinear parabolic problems; viscosity solutions; fixed point theory

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