| Volume 1, Number 3, 2011, Pages 373-395 DOI：10.11948/2011026 |
| Nonlinear boundary conditions derived by singular pertubation in age structured population dynamics model |
| Arnaud Ducrot,Pierre Magal,Ousmane Seydi |
| Keywords:Population dynamics |
| Abstract: |
| In this article, we derive Ricker’s [22, 23] type nonlinear boundary condition for an age structured population dynamic model by using a singular perturbation. The question addressed in this paper is the convergence of the singularly perturbed system. We first obtain a finite time convergence for a fixed initial distribution. Then we focus on the convergence uniformly of the singularly perturbed system with respect to the initial distribution in bounded sets. |
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