Modelling the spread of diabetes transmission through social contact

Abstract

Diabetes Mellitus is a non-communicable, incurable, and deadly disease. Most people with Type 2 Diabetes Mellitus (Type 2 DM) suffer because it makes them more vulnerable to complications with other diseases. This is because the main factors besides heredity (genetic) are obesity and an unhealthy lifestyle. Although Type 2 DM is incurable, patients with Type 2 DM can reduce the risk of complications and can survive longer if patients receive routine treatment. Here, we introduce a compartmental SlShEIT model used to understand the spread of Diabetes through social contact. Analytical results conducted to determine the nature of the positivity and limitations of the model. Furthermore, we also identify and analyze the equilibrium points, identify the basic reproduction number (R0), and analyze the stability of the endemic equilibrium using the Castillo-Chaves and Song Theorem. Some numerical results discussed at the end of this article shows how our model could help understand the behavior of Diabetes Mellitus, especially when we should consider the different risks among susceptible individuals.