A nonlinear problem for age-structured population dynamics with spatial diffusion
Keywords
Density of age structured population, nonlinear parabolic problems, viscosity solutions, fixed point theoryAbstract
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.Downloads
Published
2001-06-01
How to Cite
1.
NAKOULIMA, Ousseynou, OMRANE, Abdennebi and VELIN, Jean. A nonlinear problem for age-structured population dynamics with spatial diffusion. Topological Methods in Nonlinear Analysis. Online. 1 June 2001. Vol. 17, no. 2, pp. 307 - 319. [Accessed 19 April 2024].
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