Global stability of Susceptible Diabetes Complication (SDC) model in discrete time

Authors : Şeyma ŞİŞMAN, Mehmet MERDAN

Pages : 290-312

View : 35 | Download : 13

Publication Date : 2021-09-27

Article Type : Other Papers

Abstract :In this study, the mathematical model insert ignore into journalissuearticles values(DC); of diabetes disease is discussed. This model divides people into insert ignore into journalissuearticles values(D); uncomplicated and insert ignore into journalissuearticles values(C); complex diabetics two. In addition, diabetes is a disease known to be caused by genetic and environmental factors, and this factor is one of the main causes of genetic disorder at birth. Considering these two factors, the diabetes complication insert ignore into journalissuearticles values(SDC); model, which is sensitive from the diabetes complication insert ignore into journalissuearticles values(DC); model, is being developed. In this model, the responsive diabetes complication insert ignore into journalissuearticles values(SDC); model of a nonlinear system of differential equations is transformed into a discrete-time system of equations. The positivity and limitation of Model solutions were examined R0 the basic increment number is calculated. If R0 < 1, it has a global asymptotically stable balance for the situation where there is no genetic disorder at birth, and for R0 < 1, the system has an unstable balance. In addition, random behavior of the discrete model was examined for different probability distributions.
Keywords : Susceptible Diabetes Complication SDC, model, Global stability, Equilibrium points

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