Please use this identifier to cite or link to this item: http://hdl.handle.net/10773/14641
Title: A TB-HIV/AIDS coinfection model and optimal control treatment
Author: Silva, C. J.
Torres, D. F. M.
Keywords: Coinfection
Equilibrium
Human immunodeficiency virus
Optimal control
Stability
Treatment
Tuberculosis
Issue Date: Sep-2015
Publisher: American Institute of Mathematical Sciences (AIMS)
Abstract: 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.
Peer review: yes
URI: http://hdl.handle.net/10773/14641
DOI: 10.3934/dcds.2015.35.4639
ISSN: 1078-0947
Appears in Collections:CIDMA - Artigos
SCG - Artigos

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