This repository contains an interactive web application for exploring the Lotka-Volterra predator-prey equations, with a focus on connecting the mathematical notation to actual Python code implementation.

• Interactive equations with hover explanations for each term
• Direct links between equation variables/constants and their code implementations
• Complete Python implementation of the model
• Interactive tooltips show code snippets for each mathematical component
• Tabbed interface to switch between math and code views

• index.html - The main HTML file for the interactive documentation
• styles.css - CSS styles for the application
• script.js - JavaScript for the interactive features
• lotka_volterra.py - Python implementation of the Lotka-Volterra model

1. Open index.html in a web browser
2. Hover over any term in the equations to see:
   • Its meaning in the model
   • How it's implemented in Python code
3. Switch between "Equations" and "Python Implementation" tabs to see different views
4. Run the Python implementation directly with python lotka_volterra.py

The Lotka-Volterra equations describe the dynamics of a simple predator-prey ecosystem. The model consists of two coupled differential equations:

1. For prey population growth: dx/dt = αx - βxy
2. For predator population growth: dy/dt = -γy + δxy

Where:

• x: Prey population
• y: Predator population
• α: Prey growth rate
• β: Predation rate
• γ: Predator death rate
• δ: Predator efficiency

• Python 3.x
• NumPy
• Matplotlib
• SciPy

Install dependencies with:

pip install numpy matplotlib scipy