Open AccessInvestigating Lotka-Volterra model using computer simulation
Author(s) -
F. Kunis,
Martin K. Dimitrov
Publication year - 2020
Publication title -
open schools journal for open science
Language(s) - English
Resource type - Journals
ISSN - 2623-3606
DOI - 10.12681/osj.24890
Subject(s) - ordinary differential equation , runge–kutta methods , computer science , population , differential equation , mathematics , population model , volterra equations , mathematical optimization , simulation , nonlinear system , mathematical analysis , physics , demography , quantum mechanics , sociology
In this project we study the Lotka-Volterra model, also known as the model describing the population dynamics in the Predator-prey system. This model describes the interaction of the two species and also the development of their populations over time. We simulate this model using the fourth-order Runge-Kutta algorithm. This is the most widely used method for numerical solution of ordinary differential equations. Based on the obtained program, we simulated two populations and traced their behavior over time. We optimized the parameters and managed to obtain results that are very close to real data for such populations.