Prevention strategy for superinfection mathematical model tuberculosis and HIV associated with AIDS. Issue 1 (1st January 2019)

• Record Type: Journal Article
• Authors: Tahir, Muhammad; Shah, Syed Inayat Ali; Zaman, Gul
• Editors: Rogovchenko, Yuriy
• Is Part Of: Cogent mathematics & statistics. Volume 6:Issue 1(2019)
• Publication Date: 2019-01-01
• Subjects: mathematical model -- threshold number -- sensitivity analysis -- biological region -- optimal control -- TB/HIV/AIDS -- numerical simulation; Mathematics -- Periodicals; Statistics -- Periodicals; Mathematics; Statistics; Periodicals; 510
• DOI: 10.1080/25742558.2019.1637166
• Languages: English
• ISSNs: 2574-2558

Abstract

Abstract: In this article, we extended the co-infection mathematical model [1] for optimal control purpose. We initially derived a threshold number R 0 and found bounded and biological region for the study of the proposed model. Here, we developed a methodology through the considered superinfection problem which is getting abate while neglecting Acquired Immuno deficiency Syndrome (AIDS) because it is a noncurable disease. For this, we developed the following control variables in our model: V 1, using treatment against TB; V 2, infection control in health-care center; V 3, co-treatment of multidrug-resistant TB and HIV or start both HIV antiretroviral and anti-TB drug therapy; and V 4, avoid close contact with TB patient. These are defined with some different schemes to minimize and control the infection from any community and population. In the last section, numerical simulation is presented which supports the given model.