Th paper investigates a model of age-dependent population growth with spatial diffusion. The model equations are the linear McKendrick equations with an added diffusion term. These are reduced to an abstract Volterra integral equation by means of a semigroup approach. Using Laplace transform techniques, the authors then derive an asymptotic expression for the solution for large time.

Asymptotic behaviour in age dependent population dynamics with spatial spread

Marcati P;
1979

Abstract

Th paper investigates a model of age-dependent population growth with spatial diffusion. The model equations are the linear McKendrick equations with an added diffusion term. These are reduced to an abstract Volterra integral equation by means of a semigroup approach. Using Laplace transform techniques, the authors then derive an asymptotic expression for the solution for large time.
Age dependent Population Dynamics; Spatial Diffusion; Asymptotic Behaviour
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.12571/351
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