AN EPIDEMIC MODEL WITH PSEUDO AND COMPLETE RECOVERY

AN EPIDEMIC MODEL

Abstract

In this research, we present the dynamics of pseudo and complete recovery in a population using a modified SEIRI mathematical model. The invariant region and positivity of solutions are obtained.
The disease-free equilibrium of the system is also obtained. The basic reproduction number, $R_0$, of the system is obtained using the next generation matrix approach. The disease-free equilibrium is found to be locally asymptotically stable if $R_0<1$ using Routh--Hurwitz criterion. A unique endemic equilibrium exists if $R_0>1$. The condition for the global asymptotic stability of the disease-free equilibrium is determined by using a suitable Lyapunov function. The sensitivity analysis of each parameter associated with the basic reproduction is determined. Numerical simulations are carried out to illustrate effects of parameter variations on the system, highlighting the influence of pseudo-recovery and treatment rates.