A Deterministic Compartmental Modeling Framework for Disease Transmission

Abstract

Mathematical models for the spread of diseases help us understand the mechanisms on how diseases spread, evaluate the possible effects of interventions, predict outcomes of epidemics, and forecast the course of outbreaks. Compartmental models are widely used in synthetic biology since they can represent a biological system as an assembly of various parts or compartments with different functions. Here we present a framework for the analysis of a compartmental model for the transmission of diseases using ordinary differential equations. We apply this method on a study about the spread of tuberculosis.

Keywords: Compartmental model; Deterministic model; Epidemic; Ordinary differential equations; Spread of disease; Stability analysis; Tuberculosis.