MATLAB Code Implementation of the SIR Epidemiological Model

The following MATLAB code implements the SIR (Susceptible-Infected-Recovered) epidemiological model, which is widely used for studying disease spread dynamics and control strategies. The model incorporates three population compartments: S represents susceptible individuals, I denotes infected individuals, and R indicates recovered/removed individuals. Key implementation assumptions include constant total population size and random mixing between susceptible and infected populations. The code structure includes comprehensive comments explaining each computational step, parameter initialization, and differential equation implementation using MATLAB's ode45 solver. Key algorithmic components comprise: - System parameters (transmission rate β, recovery rate γ) - Initial conditions setup for S, I, R populations - Time-dependent differential equations: dS/dt = -βSI/N, dI/dt = βSI/N - γI, dR/dt = γI - Numerical integration using Runge-Kutta methods - Visualization routines for plotting population dynamics Before execution, ensure MATLAB software is installed with required toolboxes. The implementation demonstrates proper handling of dimensionless parameters and normalization of population variables.