Predator-prey mathematical model in a polluted area

The current article conducts an analysis of the Rosenzweig-MacArthur local predator-prey model and determines the conditions for the “death” of the predator, the frequency of damped oscillation in the number of populations. The authors develop a model of anthropogenic pressure that takes into account a decrease in the birth rate of victims, a decrease in the amount of trophic resource, and a decrease in the capacity of the environment. Possible distributions of the number of victims and predators are constructed depending on various factors determining the interaction of populations taking into account anthropogenic pressure.