Effect of awareness program on diabetes mellitus: deterministic and stochastic approach

摘要

Diabetes mellitus is a silent killer and major public health problem all over the world, but knowledge and awareness about diabetes are insufficient in middle and low-level socioeconomic countries. Awareness plays a vital role in understanding about causes factors of diabetes and its prevention. The world is not completely deterministic as there are biological fluctuations present within the population. With this motivation, we propose and analyze diabetes awareness models with human beings suffering from diabetes mellitus and introducing awareness programs driven by the media in deterministic as well as the stochastic environment. In this work, we investigate the effect of awareness programs on the prevalence of epidemiology of diabetes mellitus. The local stability analysis around the biologically feasible equilibrium point of both the model systems are investigated. The analytical results of the models are verified numerically by taking a set of biologically feasible parameter values. Our study reveals that the prevention of diabetes mellitus in humans may be ensured through an awareness program at the community level.