Home▸Articles▸Ecology & Conservation Biology

Anti-Poaching Patrol Coverage 2D: Reaction-Diffusion Risk Field

Understanding how patrols can shape risk fields to protect wildlife reserves.

mysimulator teamUpdated June 2026≈ 3 min read▶ Open the simulation

What is the Reaction-Diffusion Model?

The reaction-diffusion model describes how substances spread (diffuse) through space while also reacting with each other. In this context, it models how poaching risk spreads within a reserve and how patrol efforts can mitigate that risk.

This model is governed by partial differential equations (PDEs), which describe the rate of change of the concentration of poaching risk over time and space.

How Patrol Coverage Affects Poaching Risk

Patrol coverage can significantly reduce poaching risk. By patrolling strategically, rangers can suppress the spread of risk, making it harder for poachers to operate within the reserve.

The effectiveness of patrols depends on their strategy: a risk-based edge patrol focuses on areas with higher risk, while uniform grid and unplanned strategies cover the entire area more evenly.

live demo · related simulation● LIVE

Coupled Wildlife Dynamics

Wildlife density within the reserve is also modeled using reaction-diffusion equations. Poaching reduces wildlife numbers, which in turn affects poaching risk as there are fewer targets for poachers.

This coupled system helps simulate a more realistic scenario where both poaching and wildlife dynamics interact to influence each other.

Why It Matters

Effective anti-poaching strategies are crucial for the conservation of endangered species. By understanding how patrols can shape risk fields, we can develop better methods to protect wildlife reserves.

This model provides a valuable tool for ecologists and conservationists to predict and manage poaching risks in real-world scenarios.

Frequently asked questions

How does the reaction-diffusion model work in this simulation?

The model uses PDEs to simulate how poaching risk spreads through space over time, with patrol coverage suppressing its spread. Wildlife density is also modeled using similar equations, showing how poaching impacts wildlife numbers and vice versa.

What are the different patrol strategies available in the simulation?

The simulation offers three patrol strategies: risk-based edge patrol, uniform grid, and unplanned patrols. Each strategy has its own impact on reducing poaching risk within the reserve.

How does wildlife density affect poaching risk in this model?

Wildlife density is inversely related to poaching risk; as wildlife numbers decrease due to poaching, there are fewer targets for poachers, which can reduce overall poaching risk over time.

Why is the Jacobi relaxation method used in solving the PDEs?

The Jacobi relaxation method is an iterative numerical technique that efficiently solves PDEs by updating values at each grid point based on its neighbors. It's well-suited for real-time simulations like this one.

Try it live

Everything above runs in your browser — open Anti-Poaching Patrol Coverage 2D: Reaction-Diffusion Risk Field and change the parameters while it is running. Nothing is installed, nothing is uploaded, the whole model lives in one tab.

▶ Open Anti-Poaching Patrol Coverage 2D: Reaction-Diffusion Risk Field simulation

What did you find?

Add reproduction steps (optional)