Mathematical modeling of the interaction of populations of two biological species in an ecological system

Abstract

The interaction of populations of two biological species in an isolated predator-prey ecosystem has been studied. Mathematical models of the interaction of these biological species are considered. The mathematical model is presented in the form of a system of differential equations. For the research, a program was created in the Mathcad environment. With the help of this program, graphical and numerical solutions of mathematical models were obtained. The dynamics of changes in the parameters of two populations has been studied.

Experimental results concerning populations of two predator-prey biological species were considered and investigated.  The statistical data of the hunting of the hare and lynx of the Canadian fur company are analyzed.  The results of experiments on the study of argali and wolf populations in the Kokentau Nature Reserve of the East Kazakhstan region are presented. The correspondence of the theoretical results of graphical data and mathematical models of populations characterizing the interaction of animals in the argali-wolf ecosystem is proved.