Global stability of diabetic children with electronic gadgets using Lyapunov function

Abstract

Electronic gadgets such as smart mobile phones, tablets and television are very easily available to all the people including children. Children tend to remain busy for long time with these gadgets causing lack of physical activities resulting obesity. The obesity is significant cause for type II diabetes mellitus, especially in children. We have designed the system of non-linear differential equations to study the effect of electronic gadgets on children younger than 10 years. The endemic equilibrium point is obtained for the proposed model and its global stability is established using Lyapunov function. The numerical simulation is worked out the pros and cons for the use of electronic gadgets at a younger age through data. We study the global stability of the system using Lyapunov function.