id author title date pages extension mime words sentences flesch summary cache txt cord-259846-oxbmtend Naik, Parvaiz Ahmad Global dynamics of a fractional order model for the transmission of HIV epidemic with optimal control 2020-06-18 .txt text/plain 8469 533 53 Furthermore, for the fractional optimal control problem associated with the control strategies such as condom use for exposed class, treatment for aware infectives, awareness about disease among unaware infectives and behavioral change for susceptibles, we formulated a fractional optimality condition for the proposed model. We incorporate into the model time dependent controls such as condom use for exposed individuals, treatment for infected female sex workers, awareness about the disease among unaware infectives and behavioral change for susceptibles in order to reduce the risk of the spread of HIV/AIDS disease. In order to justify our theoretical findings, we introduced in this section some numerical experiments obtained for different instances of fractional power κ for the HIV epidemic model without control (9) and with control (24) along with adjoint variable systems and the control strategies. We present the numerical results for the model (9) when all control measures are absent and also to examine the role of fractional order κ on the HIV disease spread. ./cache/cord-259846-oxbmtend.txt ./txt/cord-259846-oxbmtend.txt