A Dynamic <i>SI_qIRV</i> Mathematical model with Non-linear Force of Isolation, Infection and Cure

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