Evaluation and control estimation strategy for three acting play diseases with six control variables. Issue 1 (1st January 2020)

• Record Type: Journal Article
• Authors: Tahir, Muhammad; Zaman, Gul; Shah, Syed Inayat Ali
• Editors: Rogovchenko, Yuriy
• Is Part Of: Cogent mathematics & statistics. Volume 7:Issue 1(2020)
• Publication Date: 2020-01-01
• 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: 10.1080/25742558.2020.1805871
• Languages: English
• ISSNs: 2574-2558

Abstract

Abstract: In this article, we prolate, the coinfection mathematical model for the implication of optimal control. Here the model (Tahir, 0004) AIDS/HIV/TB is extended for an optimal control purpose, and for sensitivity analysis of the dominant parameters involved in infection. For this purpose, initially, we apprized the threshold number of the concern model. Then the sensitivity analysis is discussed for dominant parameters which mostly spread infection in population. Moreover, simulation is shown in simple graph and area graph which shows the effected area of any population in any community by using Matlab programming. Here our mission is to minimize the coinfection problem from any community. Also we defined six control variables with different schemes to control and minimized infection. In the last section, numerical simulation is presented in a new way by Runge-Kutta method of order four, and Matlab programming which is with and without control or vaccination for the concern model.