Stability analysis of caputo fractional model for HIV infection

Abstract EN

This study presents a Caputo fractional model for HIV Infection.

It has been demonstrated that there is a unique non-negative and boundedness solution established in this paper.

For the analysis of our Caputo fractional model for HIV infection, we proposed an invivo seven dimensional Caputo fractional model for the dynamics of HIV.

The Caputo fractional in-vivo model is not only biologically well presented, but mathematically as well.

A novel infection-free equilibrium points exists and local stability of these points are examined.

Additionally, the next-generation matrix method is used to measure the basic reproductive rate of each of the HIV virus strains.