A Nonlinear Mathematical Model for the Effect of Diabetes Population on a Community

This work presents a compartmental-based mathematical model of susceptible, diabetes without complications, diabetes with minor and major complications to study the effect of diabetes population on the population dynamics of a community. The model is a system of four nonlinear differential equations of first order. The solution of the model was found to exist and is positive by positivity analysis using a contradiction method. The diabetes-free and the diabetes-endemic equilibrium points were also found to be locally asymptotically stable using the Routh-Hurwitz Stability Criterion for a degree n-polynomial. The numerical simulation of the model was carried out using various scenarios and the results show that diabetes population in a community has great effect on the population dynamics of the community either positively or negatively. The results here represent a real-life scenario thereby making the proposed model realistic.