Quarterly of Applied Mathematics · 1986 · 14 citations · 10 references
Life SciencesBiologyDynamical SystemsPopulation BiologyPopulation EcologyDemographic StochasticityDiffusion ProcessesPopulation DynamicsPopulation Dynamics ModelingPopulation GrowthReaction-diffusion SystemsAge-structured ModelsAge-structured Population DynamicsAge-structured Population ModelsDemographic ModelingPopulation Dynamics Partial Differential EquationsPopulation Kinetics
In this paper we show the existence of a solution for the Gurtin—MacCamy model in population dynamics with age dependence and diffusion. We also discuss the behavior of this solution.
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On the diffusion of biological populations
Morton E. Gurtin, R. C. MacCamy · Mathematical Biosciences · 1977 · 530 citations