MODELING THE EFFECTS OF TV AND SOCIAL MEDIA ADVERTISEMENTS ON DIABETES

被引:2
作者
Misra, Arvind Kumar [1 ]
Kumari, Mamta [1 ]
机构
[1] Banaras Hindu Univ, Inst Sci, Dept Math, Varanasi 221005, India
关键词
Mathematical Model; Diabetes; TV and Social Media Advertisements; Awareness; Transcritical Bifurcation; IMPAIRED GLUCOSE-TOLERANCE; POPULATION-MODEL; LIFE-STYLE; MELLITUS; RISK; SENSITIVITY; PREVENTION; EXERCISE; DIET;
D O I
10.1142/S0218339023500377
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
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.
引用
收藏
页码:1099 / 1124
页数:26
相关论文
共 30 条
[1]  
Alberti KGMM, 1998, DIABETIC MED, V15, P539, DOI 10.1002/(SICI)1096-9136(199807)15:7<539::AID-DIA668>3.0.CO
[2]  
2-S
[3]  
[Anonymous], 2021, IND DIAB FED ATL
[4]  
Bansode B., 2017, J SOC HLTH DIABETES, V5, P77
[5]   Family history of diabetes, awareness of risk factors, and health behaviors among African Americans [J].
Baptiste-Roberts, Kesha ;
Gary, Tiffany L. ;
Beckles, Gloria L. A. ;
Gregg, Edward W. ;
Owens, Michelle ;
Porterfield, Deborah ;
Engelgau, Michael M. .
AMERICAN JOURNAL OF PUBLIC HEALTH, 2007, 97 (05) :907-912
[6]   Sensitivity analysis of a nonlinear lumped parameter model of HIV infection dynamics [J].
Bortz, DM ;
Nelson, PW .
BULLETIN OF MATHEMATICAL BIOLOGY, 2004, 66 (05) :1009-1026
[7]   A NON-LINEAR POPULATION MODEL OF DIABETES MELLITUS [J].
Boutayeb, A. ;
Chetouani, A. ;
Achouyab, A. ;
Twizell, E. H. .
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2006, 21 (1-2) :127-139
[8]   A population model of diabetes and pre-diabetes [J].
Boutayeb, A. ;
Chetouani, A. .
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2007, 84 (01) :57-66
[9]   A mathematical model for the burden of diabetes and its complications [J].
Boutayeb, A. ;
Twizell, E. H. ;
Achouayb, K. ;
Chetouani, A. .
BIOMEDICAL ENGINEERING ONLINE, 2004, 3 (1)
[10]   Dynamical models of tuberculosis and their applications [J].
Castillo-Chavez, C ;
Song, BJ .
MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2004, 1 (02) :361-404