O vybraných aplikacích obyčejných diferenciální rovnic.

Abstract

This work explores the simulation and analysis of virtual population dynamics in a computer environment. First, the behavior of an isolated population is examined, focusing on how the population size evolves based on key parameters such as reproduction and mortality rates. Next, a model of two interacting populations in a "predator-prey" setup is considered. The aim is to study the system's stability, periodicity, and predict simulation outcomes under different initial conditions and input parameters. Finally, the resulting populations are modeled using systems of ordinary differential equations. The work includes graphical outputs to illustrate the findings.