Differential Equations for Cyclical Systems
Predator–prey dynamics, stability analysis, and equilibrium tuning in modified Lotka–Volterra models.
Click Here for the full project page
Overview
This project reproduces and extends a modified Lotka–Volterra predator–prey model with immigration-based population control. It develops a numerical tuning workflow to identify parameters that push the system toward target predator and prey equilibria while maintaining long-term stability.
Features
- Reproduction and analysis of a modified Lotka–Volterra model
- Constant and population-dependent immigration model comparisons
- Numerical equilibrium tuning for target population levels
- MATLAB simulation workflow using ODE and optimization routines
- Stability-focused evaluation of long-term cyclical dynamics