A fractional order HIV‐TB coinfection model with nonsingular Mittag‐Leffler Law

• Published in: Mathematical methods in the applied sciences Vol. 43; no. 6; pp. 3786 - 3806
• Main Authors: Khan, Hasib, Gómez‐Aguilar, J.F., Alkhazzan, Abdulwasea, Khan, Aziz
• Format: Journal Article
• Language: English
• Published: Freiburg Wiley Subscription Services, Inc 01.04.2020
• Subjects: Acquired immune deficiency syndrome; AIDS; biological applications; Biological models (mathematics); Computer simulation; fractional derivatives and integrals; HIV; Human immunodeficiency virus; Immune system; Milk; numerical approximation of solutions; numerical investigation of stability of solutions; Semen; Tuberculosis; Viruses
• ISSN: 0170-4214; 1099-1476
• DOI: 10.1002/mma.6155

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.