SPLITTING ALGORITHM IN KOLMOGOROV-FISHER TYPE REACTION-DIFFUSION TASK

摘要

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 so-called point model, the main assumption which is the assumption of "infinitely fast" stirring of individuals in a given area. This assumption is true if modeled 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.