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

Adolf Haimovici
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Adolf Haimovici: University “Al.I.Cuza” Iaşi, Seminarul Matematic “Al.Myller”

A chapter in Biomathematics and Related Computational Problems, 1988, pp 295-310 from Springer

Abstract: 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.

Keywords: Weak Solution; Initial Function; Nonlinear Degenerate; Unique Generalise Solution; Nonlinear Degenerate Parabolic Equation (search for similar items in EconPapers)
Date: 1988
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-009-2975-3_27

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DOI: 10.1007/978-94-009-2975-3_27

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