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A fractional order HIV‐TB coinfection model with nonsingular Mittag‐Leffler Law
Author(s) -
Khan Hasib,
GómezAguilar J.F.,
Alkhazzan Abdulwasea,
Khan Aziz
Publication year - 2020
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6155
Subject(s) - coinfection , mathematics , tuberculosis , uniqueness , human immunodeficiency virus (hiv) , immune system , invertible matrix , medicine , immune reconstitution inflammatory syndrome , stability (learning theory) , virology , immunology , antiretroviral therapy , viral load , pure mathematics , mathematical analysis , computer science , pathology , machine learning
The biological models for the study of human immunodeficiency virus (HIV) and its advanced stage acquired immune deficiency syndrome (AIDS) have been widely studied in last two decades. HIV virus can be transmitted by different means including blood, semen, preseminal fluid, rectal fluid, breast milk, and many more. Therefore, initiating HIV treatment with the TB treatment development has some advantages including less HIV‐related losses and an inferior risk of HIV spread also having difficulties including incidence of immune reconstitution inflammatory syndrome (IRIS) because of a large pill encumbrance. It has been analyzed that patients with HIV have more weaker immune system and are susceptible to infections, for example, tuberculosis (TB). Keeping the importance of the HIV models, we are interested to consider an analysis of HIV‐TB coinfected model in the Atangana‐Baleanu fractional differential form. The model is studied for the existence, uniqueness of solution, Hyers‐Ulam (HU) stability and numerical simulations with assumption of specific parameters.