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On analysis of fractional order HIV infection model with the adaptive immune response under Caputo operator

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Abstract

The present work investigates the fractional dynamics of a system concerned with the human immuno-deficiency virus (HIV) disease with cytotoxic T-lymphocyte (CTL), anti-bodies and two saturated rates. The system is characterized by five non-linear compartments which examine the conditions of un-infected cells, infected cells, cells without HIV, CTL immune responses, and antibodies. This problem aims to examine the existence and uniqueness of some well-known theory of fixed point. More precisely, Ulam Hyer’s stability was used to analyze the system’s stability. The approximate solution is carried out using fractional Adams Bash-forth method techniques. Using MATLAB, some numerical simulations are carried out by the obtained scheme at different non-integer order along with the comparison of integer order.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Central South University, Changsha, 410083, Hunan, People’s Republic of China

    Ashfaq Ahmad, Ijaz Ahmad & Rashid Ali

  2. Department of Basic Sciences and Humanities, CECOS University of IT and Emerging Sciences, Peshawar, Pakistan

    Muhammad Ibrahim

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  1. Ashfaq Ahmad
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Ahmad, A., Ahmad, I., Ali, R. et al. On analysis of fractional order HIV infection model with the adaptive immune response under Caputo operator. J. Appl. Math. Comput. 69, 1845–1863 (2023). https://doi.org/10.1007/s12190-022-01804-0

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