A fractional order model for dynamics of HIV infection through various modes of transmission

The prime objective of this work is to analyze a Caputo fractional order HIV model where infection occurs through various modes. A detailed investigation on existence, uniqueness, boundedness as well as non-negativity of solutions have been performed at first. Stability analysis of the fixed points has been carried out in the next section. Sensitivity analysis of the threshold parameter has also been performed. Finally, a series of numerical simulations are used to confirm theoretical findings.