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This paper presents dynamic model of COVID-19 and citizens reaction from a fraction of the population in Nigeria using fractional derivative. We consider the reported cases from February to June 2020 using fractional derivative. The Stability analysis of the model was carried out and the basic reproduction number was calculated via the next generation matrix. The fractional derivative model was solved numerically and many graphs presented accordingly which could serve as a yard-stick of reducing this menacing virus and policy making. [ABSTRACT FROM AUTHOR]

In this work, a fractional-order vaccination model for the novel Coronavirus 2019 (COVID-19) incorporating environmental transmission is considered and analyzed using tools of fractional calculus. The Laplace transform technique and the fixed point theorem lay out the model solutions' existence and uniqueness. The solutions' positivity and boundedness are also demonstrated. Additionally, the stability of the model's equilibrium points is discussed using the fractional-order system stability theory. The model is fitted using the data sets for the Pfizer vaccination program in Nigeria from April 1, 2021, to June 10, 2021. In conclusion, simulation results for various fractional parameter values are presented. It has been observed that increasing fractional-order values has distinct effects on the various model compartments, for R0 < 1 and R0 > 1, respectively. [ABSTRACT FROM AUTHOR]