Affiliation:
1. Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi 221005, India
Abstract
Diabetes is a widespread non-contagious disease, and a significant fraction of human population in the world is affected by it. Lifestyle changes including physical activities and a healthy diet can prevent or delay the onset of diabetes and its complications. In this paper, nonlinear mathematical models are proposed and analyzed to study the role of awareness in the prevention of diabetes. In model formulation, first it is assumed that the unaware people become aware through word-of-mouth communication only and adopt a preventive lifestyle to reduce the peril of diabetes. Subsequently, the proposed model is extended by incorporating the effect of social media and TV advertisements on diabetes awareness. An awareness generation number is obtained for the first model and it is found that the system exhibits transcritical bifurcation when this number crosses unity. Both models are analyzed qualitatively and a comparison of outcomes reveals that social media and TV ads are more effective in raising the level of awareness among individuals and helps to inhibit the risk of diabetes mellitus. The analytical results are verified through numerical simulation.
Funder
Council of Scientific and Industrial Research, India through a research fellowship
Publisher
World Scientific Pub Co Pte Ltd
Subject
Applied Mathematics,Agricultural and Biological Sciences (miscellaneous),Ecology,Applied Mathematics,Agricultural and Biological Sciences (miscellaneous),Ecology