Numerical simulation of population invasion

A mathematical model of the settlement of a free territory by a biological population is considered. The settlement area is represented by a system of zones sequentially populated by individuals of the population. An assessment of the stability of the settlement process by one grouping or two groupings is given. The results of simulation modeling are presented in the form of a distribution of the time interval of settlement of the last zone. For the case of two groupings, the density distribution of the zones is constructed.