A Dynamic SIqIRV Mathematical model with Non-linear Force of Isolation, Infection and Cure

Abstract

Abstract The Susceptible-Isolated-Infected-Recovered-Vaccinated (SIqIRV) deterministic model is examined in this paper. This model considers a nonlinear force of quarantine, infection and care, where vaccinated individuals lose their immunity after a period of time and become susceptible to infection. Isolation is the main key to bringforth the SIq IRV model. The fundamentals of reproduction number calculated using this model is an outbreak threshold that decides whether or not a disease can spread. The infection free steady state solutions are locally and globally found to be asymptotically stable when R 0 < 1. Infection persistent steady state solutions are also found to be locally asymptotically stable when R 0 > 1. At the end, computational simulations were run to confirm and support our theoretical findings.