On the Stability of Mathematical Modelling of Influenza

Abstract In this work, a non-linear mathematical model is considered containing susceptible, Infected, vaccinated and recovered classes for influenza. Positivity and Boundedness is established for the model. The basic reproduction number is found for different equilibrium point and its effect on stability is established for disease free and endemic equilibrium point. An attempt has taken for global stability of the model also. Numerical simulation has been done for establishing the mathematical claim.