Large time behavior in a nonlinear age-dependent population dynamics problem with spatial diffusion.

M Langlais

doi:10.1007/bf00277394

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Large time behavior in a nonlinear age-dependent population dynamics problem with spatial diffusion.

M Langlais

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Abstract

In this work we analyze the large time behavior in a nonlinear model of population dynamics with age-dependence and spatial diffusion. We show that when t----+ infinity either the solution of our problem goes to 0 or it stabilizes to a nontrivial stationary solution. We give two typical examples where the stationary solutions can be evaluated upon solving very simple partial differential equations. As a by-product of the extinction case we find a necessary condition for a nontrivial periodic solution to exist. Numerical computations not described below show a rapid stabilization.

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Aging Animals Biometry Models, Theoretical Population Dynamics Probability Time Factors Journal Article Research Support, Non-U.S. Gov't

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M Langlais. 1988. Large time behavior in a nonlinear age-dependent population dynamics problem with spatial diffusion.. https://doi.org/10.1007/bf00277394

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