Stability of a fractional HIV/AIDS model

2019/03/02 by Cristiana J. Silva, Delfim F. M. Torres
Biochemistry, Genetics and Molecular Biology · Engineering · Mathematics · Medicine · #Advanced Control Systems Design #Applied mathematics #Computer science #Environmental health #Epidemic model #Fractional Differential Equations Solutions #Fractional calculus #Human immunodeficiency virus (HIV) #Mathematical and Theoretical Epidemiology and Ecology Models #Mathematics #Medicine #Order (exchange) #Population #Stability (learning theory) #Virology #math.DS #math.OC #msc:34C60 #msc:34D23 #msc:92D30 #q-bio.PE

paper · pdf · doi:10.1016/j.matcom.2019.03.016

published as Math. Comput. Simul. 164 (2019), 180--190 · This is a preprint of a paper whose final and definite form is with 'Mathematics and Computers in Simulation', ISSN: 0378-4754. Submitted 21/Jan/2018; Revised 1/Feb/2019; Accepted for publication 1/March/2019. arXiv admin note: text overlap with arXiv:1703.06446, arXiv:1801.07059

arxiv created 2019/03/02 · openalex publication_date 2019/05/20 · arxiv updated 2019/06/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We propose a fractional order model for HIV/AIDS transmission. Local and uniform stability of the fractional order model is studied. The theoretical results are illustrated through numerical simulations.

Citations

• Modeling and optimal control of HIV/AIDS prevention through PrEP
• Uniform asymptotic stability of a fractional tuberculosis model
• A TB-HIV/AIDS coinfection model and optimal control treatment
• Linear Models of Dissipation whose Q is almost Frequency Independent--II
• Fractional Differential Equations