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A Mathematical Model of Age-Structured Population Dynamics, with Density Dependent Diffusion

In: Biomathematics and Related Computational Problems

Author

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  • Adolf Haimovici

    (University “Al.I.Cuza” Iaşi, Seminarul Matematic “Al.Myller”)

Abstract

The mathematical model for the age-structured population dynamics is given by the system (l.l)–(l.4), when u is the density of the age a population, in x, at the moment t, D is e diffusion coefficient, b the density of the offspring, μ0 the initial repartition of tbe population, μ-the fertility, λ-a proportionality coefficient. fhe coefficient D is supposed to depend on the density u, D(0)=0, D(u) > 0 for u > 0. Conditions are found in order that the model has a unique generalised solution. The continuous dependence of u with respect to the initial repartition u 0 is proved.

Suggested Citation

  • Adolf Haimovici, 1988. "A Mathematical Model of Age-Structured Population Dynamics, with Density Dependent Diffusion," Springer Books, in: Luigi M. Ricciardi (ed.), Biomathematics and Related Computational Problems, pages 295-310, Springer.
    • Handle: RePEc:spr:sprchp:978-94-009-2975-3_27
    DOI: 10.1007/978-94-009-2975-3_27
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