A Nonlinear Mathematical Model for the Effect of Diabetes Population on a Community
DOI:
https://doi.org/10.62054/ijdm/0101.13Ключевые слова:
Diabetes, Mathematical Model, Simulation, StabilityАннотация
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
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