A Study on Seiqr Mathematical Model with Vaccination and Preventive Control Efforts

Abstract

We present the dynamics of a SEIQR mathematical model with vaccination and preventive control measure in the susceptible class. The basic reproduction number of the model dynamics is obtained by using the next generation matrix method. The disease free equilibrium point of the model is found to be locally asymptotically stable if R0 |ω=0< 1 and a unique endemic equilibrium point exist if R0 |ω=0> 1. The disease free equilibrium point of the model is found to be globally asymptotically stable if R0 |ω=0≤ 1 by using a suitable Lyapunov function. The contribution of the model parameters on the basic reproduction number is also determined through sensitivity analysis.