Journal
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
Volume 35, Issue 9, Pages 4639-4663Publisher
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/dcds.2015.35.4639
Keywords
Tuberculosis; human immunodeficiency virus; coinfection; treatment; equilibrium; stability; optimal control
Categories
Funding
- Portuguese funds through CIDMA (Center for Research and Development in Mathematics and Applications)
- FCT (The Portuguese Foundation for Science and Technology) [UID/MAT/04106/2013]
- FCT [SFRH/BPD/72061/2010]
- EU [264735-SADCO]
- FCT project OCHERA [PTDC/EEI-AUT/1450/2012]
- FEDER under POFC-QREN
- COMPETE [FCOMP-01-0124-FEDER-028894]
Ask authors/readers for more resources
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.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available
Share Paper
