Predator-prey model on a linear territory

The current article carries out a study of the Rosenzweig-MacArthur predator-prey model on a straight line segment. The authors provide an analysis of stationary solutions and obtain the conditions for the existence of periodic solutions in a spatial variable. The study provides variants of possible distributions of the numbers of predators and victims in the territory. The model is extended for the interaction of populations under anthropogenic pressure. It is also based on statistical data on the contaminated area in the vicinity of a copper-nickel plant. The research features an assessment of the possible decrease in the number of predator and prey populations depending on the degree of contamination. With the use of simulation modeling, the study constructs the distributions of predators and victims depending on the anthropogenic load.