reaction-diffusion

## What problem does it solve? Spatiotemporal dynamics are simulated to understand how local reactions and diffusion create patterns, enabling researchers to study spread, invasion, and pattern formation in biological and ecological systems.

## Core Features & Use Cases

• PDE-based modeling of u(x,t) with diffusion and reaction terms, applicable to ecology, epidemiology, chemical patterning, and environmental diffusion.
• 1D and 2D simulations with configurable diffusion coefficients, reaction terms, and boundary conditions (Neumann/Dirichlet/Periodic).
• Educational templates and example formulations (e.g., Fisher-KPP, Gray-Scott) for rapid exploration and teaching.

### Quick Start

• Run a Fisher-KPP simulation in 1D with D=0.1, r=1.0, a localized initial condition near the domain center, and plot the traveling wave.