A linear population model for diabetes mellitus

Diabetes and its associated complications have been increasing at an alarming rate worldwide. Prevalence of diabetes is higher in developed countries than in the developing countries, however during the past two decades diabetes mellitus was reported higher in developing countries. A mathematical study of the size of population of diabetes mellitus is carried out in this paper. By appropriate definition of a parameter, the mathematical model may be classified as linear or non-linear. Here, linear differential equations are developed and solved by numerical methods.