Abstract
We study the dynamics of diabetes in a population based on the etiology of the disease. In carrying out the study, we proposed that; a population generate non-diabetic non – susceptible sub-population, and a non-diabetic susceptible sub-population, the non-diabetic susceptible sub-population can further generate a population of diabetics without complication, who can later transit to a population with diabetic complications. Based on the etiology dynamics, we proposed control measures at the point of transition from the population to non-diabetic susceptible population, and at the point of transition from diabetes without complications to diabetes with complications. For this study, we intend to look at the control measure. In this regard, we proposed a mathematical model for the dynamics of diabetes by incorporating a control parameter h, so as to investigate how to control diabetes in a population. The result of the study suggested that; we need to control the incidence of diabetes, I(t), and improve the control measure, h, for transition from diabetes without complication to diabetes with complication. Thus entailing going further in research to; Look into the dynamics of the genetics of transmission of the diabetic gene, to investigate how to reduce the spread (and hence the incidence I(t)) of diabetes, and to also look into the influence of the control factor h, on the dynamics of glucose metabolism, this will give an insight on how to manage diabetic patients.Keywords: Diabetes, Population, Genes, Genetics, Etiology.
Highlights
Diabetes mellitus is a recognized consequence of hereditary haemochromatosis, David et al (2003)
In carrying out the study, we proposed that; a population generate non-diabetic non – susceptible sub-population, and a non-diabetic susceptible sub-population, the non-diabetic susceptible sub-population can further generate a population of diabetics without complication, who can later transit to a population with diabetic complications
Based on the etiology dynamics, we proposed control measures at the point of transition from the population to non-diabetic susceptible population, and at the point of transition from diabetes without complications to diabetes with complications
Summary
Diabetes mellitus is a recognized consequence of hereditary haemochromatosis, David et al (2003). It is commonly admitted that diabetes is sweeping the globe as a silent epidemic largely contributing to the growing burden of non-communicable diseases and mainly encouraged by decreasing levels of activity and increasing prevalence of obesity, Bouteyab et al (2004). This trend of incidence & prevalence in a population, despite medical intervention, is a case for serious concern. We decomposed a population into; susceptible sub-population and Non- susceptible sub-population, and introduced control measures at two stages of the dynamics of diabetes as follows: Control measure at the stage of diabetes without complication, to inhibit transition from diabetes without
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