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

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.

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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