A Two-Dose Vaccine Epidemic Model with Power Incidence Rate

Abstract

The dynamics of a SIVR model with power relationship incidence rates $(\beta I^p{S}^q)$ is investigated. It is assumed an individual can be susceptible after receiving the first dose of the vaccine, hence a second dose is required to attain permanent immunity. The steady states conditions of the disease-free equilibrium and the endemic equilibrium are critically presented. Numerical simulations are carried out to determine the impact of the exponential parameters $(p;q)$ on infection.