Dynamics of fractional order HIV infection model with antibody and cytotoxic T-lymphocyte immune responses

This article concerns with the infection dynamics of fractionally extended HIV infection model incorporating antibody and cytotoxic T-Lymphocyte (CTL) immune responses. We study the role of antiretroviral therapy drugs, namely, reverse transcriptase and protease inhibitors in suppressing the HIV infection. The dynamical characteristics of the system are first discussed qualitatively through linear stability of stationary states and stable regions of the infectious and infection free steady states are figured out. The obtained results are compared with the results of integer order to understand the role of fractional order derivatives in HIV infection model. Besides the qualitative analysis on the system, we also look for the solution of the fractional system through numerical simulation. (C) 2020 Elsevier B.V. All rights reserved.

Automated summary

This article examines the infection dynamics of a fractionally extended HIV infection model incorporating antibody and CTL immune responses, focusing on the role of antiretroviral therapy drugs in suppressing HIV infection. The dynamical characteristics of the system are qualitatively discussed through linear stability analysis, identifying stable regions of infectious and infection-free steady states. Results are compared with integer order models to understand the impact of fractional order derivatives in HIV infection models. In addition to qualitative analysis, numerical simulations are also performed to find solutions to the fractional system.