Modeling of evolutionary strategies of interacting populations in a heterogeneous habitat

P. A. Zelenchuk, V. G. Tsybulin

Southern Federal University, Rostov-on-Don, Russia

Abstract: Using a predator–prey model in a heterogeneous environment, we have created a mathematical model that describes the interaction between populations with different evolutionary strategies. The model is based on partial differential equations and allows for the consideration of multifactor taxis. We propose modified functions of local predator–prey interactions, which provide a variety of evolutionary strategies for the system. Key parameters responsible for the formation of ideal free distribution strategies have been investigated, and conditions for the parameters of diffusion and migration have been given under which ideal free distribution-like strategies can be implemented. Results from computational experiments demonstrating stationary and oscillating modes have been presented.

Keywords: evolutionary strategy, ideal free distribution, reaction–diffusion–advection equations, predator–prey system.

UDC: 519.63

DOI: 10.22363/2413-3639-2025-71-3-370-384