A mathematical model of population competition in a polluted area

Anthropogenic impact on the environment leads to a change in the species structure of ecosystems. An external inhibitory effect on competing populations leads to a change in their numbers. One of the tasks of forecasting is the theoretical study of the directions of population change. The paper develops a mathematical model of competition between two populations, taking into account the change in the rate of population growth and the change in the capacity of the ecological niche. An assessment of the directions of population change is given. The model is represented by the Cauchy problem for a system of ordinary differential equations.