Investigation of the properties of of reactions-diffusion model solutionswithdouble nonlinearity

Abstract Analyses show that the central place in the mathematical description of the spatial-temporal dynamics of one or several interacting populations take the task of research of interaction of the migration population processes with demographic. Population models that take into account only the demographic processes are well known and fairly well-developed. This assumption is true if modelled area is quite small compared with the mean free path of individuals, or, equivalently, with a radius of individual activity . If this provision violated, in population models must account migration.

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