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, PIERANGELO;
1979-01-01
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.File in questo prodotto:
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