Author(s):
1. Marina Jokić, Prva tehnička škola, Kruševac, Srbija, Serbia
2. Predrag Dašić, SaTCIP Publisher Ltd., 36610 Vrnjačka Banja i Visoka tehnička mašinska škola strukovnih studija (VTM, Serbia

Abstract:
: Mathematical models of population dynamics, such as the Lotka-Volterra predator-prey relationship model, represent a significant example of the application of differential equations in describing natural processes. This paper presents the visualization of the interaction between two populations, realized in the dynamic environment of GeoGebra. The designed applet enables interactive research of the influence of parameters on the development of populations, monitoring of oscillations around equilibrium points and observation of stable and unstable trajectories in the phase plane. This kind of visualization enables pupils and students to see the consequences of changes in the initial conditions and parameters of the model in an immediate way, thus enabling an understanding of the stability and dynamics of the system through multiple representations. The work indicates the didactic potential of GeoGebra and its importance in the teaching of mathematics and natural sciences.

Key words:
GeoGebra,Lotka-Volterra model,visualization,multiple representations,mathematics teaching.

Thematic field:
SYMPOSIUM B - Biomaterials and nanomedicine

Date of abstract submission:
25.08.2025.

Conference:
Contemporary Materials 2025 - Savremeni Materijali

Applied paper from author