A numerical method for spatial diffusion in age-structured populations

Caterina Cusulin (1) , Luca Gerardo-Giorda (2)

1 Fakultät für Mathematik [Wien]
2 DEP. MATHCS - Department of Mathematics and Computer Sciences

We propose a method to approximate numerically the diffusion of an age-structured population in a spatial environment. We integrate separately the age and time variables by finite differences and we discretize the space variable by finite elements. The method is implicit in time and, inside each time step, implicit in age. We provide stability and convergence results and we illustrate our approach with some numerical result.

Mots clés: Age-structured population dynamics; Galerkin methods; finite elements

Domaines: Analyse numérique [math.NA]

Caterina Cusulin, Luca Gerardo-Giorda. A numerical method for spatial diffusion in age-structured populations. 2008. ⟨hal-00183067v2⟩