Mathematical modeling predator-prey interactions

The work explores the system of a community of different types of predators and a community of different types of their victims. The victim systems are considered - two predators, two victims and one predator. A model of community interaction between a given number of victims and a given number of predators is proposed. The models are represented by Cauchy problems for systems of ordinary differential equations. The setting of the initial data is determined by the concept of the primary occurrence of victims. Within the framework of simulation modeling, it is demonstrated that the death of groups of predators and groups of victims is possible in the evolutionary process.