A numerical simulation of fractional order influenza disease model

Abstract

In this work, our purpose is to present the fractional model of the transmission dynamics of influenza virus in the aspect of drug resistance. Here, we construct a numerical algorithm based on the homotopy analysis transformation method to achieve a fractional form solution of the influenza virus transmission dynamics model. The fixed point theory is employed to investigate whether a solution exists, and the uniqueness of the solution of the influenza virus model is also analyzed. The numerical simulation of an influenza disease model is performed to observe the effect of different treatment parameters on the progression of the disease. The findings for the fractional influenza model indicate that the suggested method is quite precise and efficient.