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Effect of awareness program on diabetes mellitus: deterministic and stochastic approach
Journal of Applied Mathematics and Computing ( IF 2.4 ) Pub Date : 2020-08-25 , DOI: 10.1007/s12190-020-01424-6
Saddam Mollah , Santosh Biswas

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.



中文翻译:

认识计划对糖尿病的影响:确定性和随机方法

糖尿病是全世界无声的杀手和主要公共卫生问题,但在中低级社会经济国家,对糖尿病的知识和认识不足。认识对于了解糖尿病的成因及其预防起着至关重要的作用。由于人口中存在生物波动,因此世界不是完全确定的。以此动机为基础,我们提出并分析患有糖尿病的人的糖尿病意识模型,并在确定性和随机环境中引入由媒体驱动的意识计划。在这项工作中,我们调查了认识项目对糖尿病流行病学流行的影响。研究了两个模型系统在生物学上可行的平衡点附近的局部稳定性分析。通过采用一组生物学上可行的参数值,对模型的分析结果进行了数值验证。我们的研究表明,可以通过社区一级的认知计划来确保预防人类糖尿病。

更新日期:2020-08-25
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