Optimal control of HIV resistance and tuberculosis co-infection using treatment intervention
Journal Title: Asian Pacific Journal of Tropical Disease - Year 2017, Vol 7, Issue 6
Abstract
In this paper we presented a mathematical model of the spread of HIV and tuberculosis (TB) co-infection considering the resistance of HIV to antiretroviral (ARV) drugs. The model also included anti-TB and ARV treatments as system control variables. For the model without controls, we investigated the existence and stability of equilibria based on three basic reproduction numbers corresponding to the TB and two strains HIV infection. We also performed sensitivity analysis to determine the dominant factor controlling the spread. Then, the optimal control condition was derived using Pontryagin Maximum Principle on the model to achieve the goal of minimizing the number of infected population. The numerical simulations of the optimal control were also performed to illustrate the results.
Authors and Affiliations
Keywords
Related Articles
- EP ID EP223825
- DOI 10.12980/apjtd.7.2017D6-400
- Views 64
- Downloads 0
Virulency of Verticillium sp. against mosquito vectors for malaria, fiarial, and dengue
Objective: Entomopathogenic fungi like Beauveria bassiana, Metarhizium anisopliae have been significantly pathogenic for mosquito vectors. Although few have been used for control. Moreover, the genus Verticillium encompa...
Bilateral idiopathic optic perineuritis with severe vision loss: A case report
Optic perineuritis is an orbital inflammatory disorder that is either idiopathic or secondary to other conditions such as infection or systemic inflammatory disorders. This condition is very similar to demyelinating opti...
Prevalence of schistosome induced cercarial dermatitis in north of Iran
Objective: To investigate the level of people’s infection to cecarial dermatitis in Mazandaran Province(north of Iran), where is susceptible to this disease due to Mazandaran’s climate. Methods: The present descriptive s...
A case of laryngeal tuberculosis in a pediatric patient
Incidence of tuberculosis is on the rise, mainly due to an increase of AIDS, shifting populations and modification of bacillus Calmette-Guerin immunization programs. Tuberculosis of the larynx is not as rare as generally...
Herbal option for diabetes: an overview
The most spreading disease nowadays is diabetes. In a fast changing world, a number of means to treat diabetes naturally are explored by experts and clinicians today. Long-term use of insulin and other oral hypoglycemic...