Self-excited oscillations in spatially distributed biogeocenoses

Equations are derived to describe the behavior of communities of animals and plants in space and time; it is shown that the population density function takes the form of traveling waves in the linear approximation if the shifts in the environment are neglected and if there is a Yolterra interaction between species in the predator-prey system. A uniform distribution of the population densities in space is stable if there is a closed circulation of material.