Means of Equilibrium Analysis in the Dieckmann–Law Population Dynamics Model

The authors study the main approaches to studying the stochastic process of population dynamics of immovable individuals with continuous time and space. A procedure for closing spatial moments is described along with ways of solving the resulting system of integro-differential equations corresponding to the dynamics of the process’s spatial moments. The spatial moments obtained in different ways and closures are confirmed by comparing them to spatial statistics for modeling a stochastic space-time point process of birth–scatter–death in a limited area with periodic boundary conditions.