Mathematical Analysis of SEITR Model for Influenza Dynamics

Abstract

In order to give timely hospitalisation for infections that are dangerously ill, our primary goal is to reduce the interaction between susceptibles and infections. For this we add treatment T as a fifth compartment to the SEIR model, converting it from SEIR to SEITR. The stabilities of endemic equilibrium and disease-free equilibrium were tested. The next generation matrix method was used to calculate the SEITR model’s basic reproduction number. Numerical simulations were also presented to validate our analytic findings. A graphic depicted the impact of parameters on infected populations. It was perceived that, anytime the treatment rate increased, the infected population, exposed population, and treated population all declined but the susceptible population increased.