2015/01/01 by Cristiana J. Silva, Delfim F. M. Torres · 4 citations
Biochemistry, Genetics and Molecular Biology · Mathematics · Medicine · #Antiretroviral therapy #Antiretroviral treatment #Basic reproduction number #Coinfection #Computer science #Environmental health #Human immunodeficiency virus (HIV) #Immunology #Machine learning #Mathematical and Theoretical Epidemiology and Ecology Models #Mathematical optimization #Mathematics #Medicine #Optimal control #Pathology #Population #Stability (learning theory) #Transmission (telecommunications) #Tuberculosis #Viral load #Virology #math.OC #msc:34D30 #msc:49J15 #msc:92D30 #msc:93A30 #q-bio.PE
paper · pdf · doi:10.3934/dcds.2015.35.4639
published as Discrete Contin. Dyn. Syst. 35 (2015), no. 9, 4639--4663 · This is a preprint of a paper whose final and definite form will be published in the journal 'Discrete and Continuous Dynamical Systems. Series A', ISSN 1078-0947 (Print), ISSN 1553-5231 (Online). Submitted 03/May/2014; revised 08/Nov/2014 and 23/Nov/2014; accepted 14/Jan/2015. arXiv admin note: text overlap with arXiv:1406.0877
openalex publication_date 2015/01/01 · arxiv created 2015/01/14 · arxiv updated 2015/04/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We propose a population model for TB-HIV/AIDS coinfection transmission dynamics, which considers antiretroviral therapy for HIV infection and treatments for latent and active tuberculosis. The HIV-only and TB-only sub-models are analyzed separately, as well as the TB-HIV/AIDS full model. The respective basic reproduction numbers are computed, equilibria and stability are studied. Optimal control theory is applied to the TB-HIV/AIDS model and optimal treatment strategies for co-infected individuals with HIV and TB are derived. Numerical simulations to the optimal control problem show that non intuitive measures can lead to the reduction of the number of individuals with active TB and AIDS.