Fig. 16

Impact of the vaccine efficacy rate (\(\psi\)) on the system compartments for a fixed fractional-order \(\zeta =0.95\). Parameters: \(\mu =1/(67.7 \times 365)\), \(\Pi = \mu \times 230557367\), \(a_1=0.8983\), \(a_2=0.3827\), \(\omega =0.01\), \(\kappa =0.3129\), \(\delta =0.9982\), \(q=0.9931\), \(\rho _1=0.3028\), \(\rho =0.7926\), \(d=0.6784\), \(\theta =0.01\).