Fractional order modeling of prophylactic measures on the transmission dynamics of measles: An optimal control analysis

In this study, we presented a fractional order transmission model to investigate the dynamics and potential controls for measles, in order to accurately represent the dynamics of its transmission. We propose a modified S, V, E, I and R (Susceptible, Vaccinated, Exposed, Infectious and Recovered individuals), a workable human population model with an incident rate equipped with a saturation factor to investigate the combined impact of three prophylactic techniques, which are public awareness, second dose vaccination and proper treatment in case of severity.. Here, we assumed there is a vaccinated population that has taken first dose in the proposed model. We established among other things, the parameter responsible for invasion, the reproductive number,R₀ is less than unity through the stability analysis and the numerical solution of the fractional order model was done using the Adams Bashforth predictor-corrector method. In addition, the effects of the prophylactic measures and the fractional order (α) were simulated and findings from the graphical solutions depict that these measures aid in flattening out the trajectory of the disease if measure are properly implemented.