Abstract
Various approaches have been made recently to understand the complex dynamics of many epidemic diseases like COVID-19. The mathematical modeling approach is one of the considerable tools to study the disease spreading pattern. In this paper we study a fractional order SIR epidemic model with nonmonotone incidence rate and vaccination involving a Caputo type fractional derivative. Existence and uniqueness results for the problem are established which means that our model is biologically and mathematically well posed. We Firstly give some preliminaries results. Then we calculate the equilibria and investigate their global stability. Finally, we present some numerical simulations to support our analytical findings.
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