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Stabilization in a Nonlinear Agedependent Population Model

In: Biomathematics and Related Computational Problems

Author

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  • M. R. Langlais

    (Université de Bordeaux I, U.E.R. de Mathématiques et Informatique)

Abstract

We analyze the stabilization of the solution of an agedependent population model with spatial diffusion. We assume that both the birth process and the death process are run by nonlinear mechanisms. Under suitable assumptions we show that as time gets large the solution of this problem either goes to zero or goes to a non trivial equilibrium; further the trivial equilibrium is unstable as soon as a non trivial one exists.

Suggested Citation

  • M. R. Langlais, 1988. "Stabilization in a Nonlinear Agedependent Population Model," Springer Books, in: Luigi M. Ricciardi (ed.), Biomathematics and Related Computational Problems, pages 337-344, Springer.
    • Handle: RePEc:spr:sprchp:978-94-009-2975-3_30
    DOI: 10.1007/978-94-009-2975-3_30
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