An SVEIR COVID-19 Mathematical Model with Double Dose Vaccination
Samuel B. Apima *
Department of Mathematics and Statistics, Kaimosi Friends University, Kenya.
Jacinta M. Mutwiwa
Department of Mathematics, Kibabii University, Kenya.
Isaac K. Barasa
Department of Mathematics and Statistics, Kaimosi Friends University, Kenya.
*Author to whom correspondence should be addressed.
Abstract
In this study, the effects of a double dose vaccination are examined using the Covid-19 mathematical model. In addition to obtaining the basic reproduction number and analyzing the model's stability, the sensitivity analysis was also performed. The results obtained demonstrates that the model's solutions always converge to the endemic equilibrium point whenever reproduction number is greater than 1, irrespective of the initial solution. Sensitivity analysis demonstrated that the average number of encounters between infected/exposed individuals per unit time increases whenever the reproduction number R0 increases. Numerical analysis demonstrated that vaccination reduces the number of infected people compared to when no vaccination is administered.
Keywords: Covid-19, reproduction number, sensitivity analysis, stability analysis