Presentation Information
[MS14-04]Modelling and simulation of the effects of Partial and Full Vaccination on the dynamics of an epidemic
*NILAM .1, Abhay Srivastava1 (1. DELHI TECHNOLOGICAL UNIVERSITY (India))
Keywords:
COVID-19,Memory Effect,Full and Partial Vaccination,Holling type III treatment rate,Local and global Stability,Numerical simulation
Infectious diseases like COVID-19 threaten global public health due to their high transmission rates. Vaccination is crucial in breaking the transmission cycle, but its success relies on strategic implementation. This study compares full and partial vaccination strategies using a novel Caputo fractional SVIR model, which classifies vaccinated individuals as partially or fully vaccinated. To address limited medical resources and virus resurgence, we use the Holling type III saturated treatment function. We analyze the system's stability, proving that the Disease-Free Equilibrium (DFE) is locally stable when while the Endemic Equilibrium (EE) is stable by Routh-Hurwitz criterion. Under specific conditions, both equilibria are globally stable using the Lyapunov function. MATLAB simulations confirm our findings The quantification of partial and full vaccination reveals that full vaccination results in higher percentage of recovered population, making it evident that policymakers and professionals should focus on the implications of effective full vaccination among susceptibles.