The Olli population is under anthropogenic pressure

The territorial expansion of economic activity exerts anthropogenic pressure on ecosystems, leading to the death of populations and to a change in the structure of natural ecosystems, to death or emigration from the ecosystem. The mathematical model of a single population takes into account the change in the capacity of the environment as a result of anthropogenic pressure, the immigration of individuals, the occurrence of population thresholds that determine the survival of individuals. The model is based on a mathematical model of the Ollie population. Anthropogenic pressure is introduced using hyperbolic functions depending on the amount of pollutants. On the basis of simulation modeling, the distribution of the population size and the time of the beginning of population recovery is constructed. The model is represented by the Cauchy problem for a system of differential equations.