Abstract
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. Diabetes, Mathematical Model, Simulation, Stability
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: International Journal of Development Mathematics (IJDM)
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
