This paper performs a detailed analysis and explores optimal control strategies for a fractional-order SIV epidemic model. incorporating a nonmonotonic incidence rate. In this paper. the population of vaccinated individuals is included in the disease dynamics model. https://www.nacrack.com/mega-choice-2005-2006-NISSAN-ALTIMA-Radio-Receiver-AM-FM-stereo-single-CD-Player-G-mega-value/