Effect of awareness programs in controlling the disease HIV/AIDS: an optimal control theoretic approach

Advances in Difference Equations

Priti Kumar Roy¹  Fahad Al Basir¹  Shubhankar Saha¹ 

[1] Centre for Mathematical Biology and Ecology, Jadavpur University, Kolkata, India

关键词: epidemic model;    HIV;    awareness programs;    basic reproductive number;    numerical simulation;    optimal control;   

DOI  :  10.1186/s13662-015-0549-9

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

Research reveals that most HIV infections come from undiagnosed people and untreated people, but principally from unaware people. Human awareness results in the reduction of susceptibility to infection, naturally, in the epidemiological study this factor should be included. Researchers have produced a wealth of information about the disease, including a number of critical tools and interventions to diagnose, prevent and treat HIV. Broadcast media have tremendous reach and influence, particularly with young people, so in this study, we incorporate the influence of media and investigate the effect of awareness program in disease outbreaks. We divided the whole susceptible and infected populations into two sub-classes: ‘unaware class’ and ‘aware class’. A detailed mathematical analysis has been carried out and numerical simulations have been performed to show the role of some of the important model parameters.

【 授权许可】

CC BY