Simple Epidemiology Modeling Tool

This project uses the SIRD model (Susceptible, Infected, Recovered, Deceased) to simulate the spread of a disease through a population and returns a graphical representation of the results.

Features

• SIRD Model Simulation: Simulate disease outbreaks and observe the progression of susceptible, infected, recovered, and deceased populations over time.
• Customizable Parameters: Adjust infection rates, recovery rates, death rates, population size, days to simulate and others.
• Interactive Visualizations: The graphical representation is created using Chart.js.

SIRD Model (sirdModel.ts)

Basic Formulas

• $\text{newInfected} = \frac{\beta \cdot S \cdot I}{\text{Population}}$

• $\text{newRecovered} = \gamma \cdot I$

• $\text{newDeaths} = \mu \cdot I$

Daily Updates

• Susceptible ($S$) decreases by the number of new infections:

  $S_{\text{new}} = S_{\text{old}} - \text{newInfected}$

• Infected ($I$) increases by new infections and decreases by recoveries and deaths:

  $I_{\text{new}} = I_{\text{old}} + \text{newInfected} - \text{newRecovered} - \text{newDeaths}$

• Recovered ($R$) increases by the number of new recoveries:

  $R_{\text{new}} = R_{\text{old}} + \text{newRecovered}$

• Deceased ($D$) increases by the number of new deaths:

  $D_{\text{new}} = D_{\text{old}} + \text{newDeaths}$

This cycle continues for each day of the simulation to track the disease progression.

Contributing

Contributions are welcome! Feel free to submit a pull request or open an issue for suggestions and improvements.