Nonlinear boundary conditions derived by singular pertubation in age structured population dynamics model |
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Authors: | Arnaud Ducrot Pierre Magal Ousmane Seydi |
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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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Keywords: | Population dynamics |
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