Dynamical Model of Influenza Disease with Vaccination

Abstract

Influenza disease is generally found in Thailand. It is a viral infection of the respiratory system, including the nose, throat, and lungs. It can be contacted between people. The influenza transmission model with vaccination is considered in this study. We separated the human population into susceptible, exposed, infectious and recovered human populations. We analyze the dynamical model by using standard dynamical modeling method. The equilibrium states are found. The basic reproduction number is found. The local stability for each equilibrium states are determined. The numerical simulations for our dynamical model are shown.