Asymptotic behaviour in age dependent population dynamics with spatial spread
Asymptotic behaviour in age dependent population dynamics with spatial spread
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.
- University of L'Aquila Italy
Normed linear spaces and Banach spaces; Banach lattices, Age dependent Population Dynamics; Spatial Diffusion; Asymptotic Behaviour, Volterra integral equations, Laplace transform, Banach space differential equation, Abstract integral equations, integral equations in abstract spaces, age dependent population growth, spatial diffusion, Groups and semigroups of linear operators, Population dynamics (general), semigroup approach, linear Volterra integral equation of convolution type in Banach space, renewal equation, spatial spread
Normed linear spaces and Banach spaces; Banach lattices, Age dependent Population Dynamics; Spatial Diffusion; Asymptotic Behaviour, Volterra integral equations, Laplace transform, Banach space differential equation, Abstract integral equations, integral equations in abstract spaces, age dependent population growth, spatial diffusion, Groups and semigroups of linear operators, Population dynamics (general), semigroup approach, linear Volterra integral equation of convolution type in Banach space, renewal equation, spatial spread
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