Modeling the interaction between aids and tuberculosis

Massad, Eduardo; Burattini, Marcelo Nascimento; Coutinho, Francisco Antônio Bezerra; Yang, Heung Mo; Raimundo, Silvia Martorano

doi:10.1016/0895-7177(93)90013-o

Cited by 21 publications

(20 citation statements)

References 19 publications

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“…Our approach is to represent the spread of risk behaviour as a social contagion [51], [52] and to use a two-disease model [53], [54] in which we treat both HIV and risk behaviour as infectious processes. In the context of HIV, two-disease models have been developed previously to study co-infections by HIV and TB [55]–[64] or HIV and gonorrhoea [65], [66]. We are not aware of other studies that applied this approach to HIV and risk behaviour.…”

Section: Introductionmentioning

confidence: 99%

Changing Risk Behaviours and the HIV Epidemic: A Mathematical Analysis in the Context of Treatment as Prevention

et al. 2013

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BackgroundExpanding access to highly active antiretroviral therapy (HAART) has become an important approach to HIV prevention in recent years. Previous studies suggest that concomitant changes in risk behaviours may either help or hinder programs that use a Treatment as Prevention strategy.AnalysisWe consider HIV-related risk behaviour as a social contagion in a deterministic compartmental model, which treats risk behaviour and HIV infection as linked processes, where acquiring risk behaviour is a prerequisite for contracting HIV. The equilibrium behaviour of the model is analysed to determine epidemic outcomes under conditions of expanding HAART coverage along with risk behaviours that change with HAART coverage. We determined the potential impact of changes in risk behaviour on the outcomes of Treatment as Prevention strategies. Model results show that HIV incidence and prevalence decline only above threshold levels of HAART coverage, which depends strongly on risk behaviour parameter values. Expanding HAART coverage with simultaneous reduction in risk behaviour act synergistically to accelerate the drop in HIV incidence and prevalence. Above the thresholds, additional HAART coverage is always sufficient to reverse the impact of HAART optimism on incidence and prevalence. Applying the model to an HIV epidemic in Vancouver, Canada, showed no evidence of HAART optimism in that setting.ConclusionsOur results suggest that Treatment as Prevention has significant potential for controlling the HIV epidemic once HAART coverage reaches a threshold. Furthermore, expanding HAART coverage combined with interventions targeting risk behaviours amplify the preventive impact, potentially driving the HIV epidemic to elimination.

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Section: Introductionmentioning

confidence: 99%

Changing Risk Behaviours and the HIV Epidemic: A Mathematical Analysis in the Context of Treatment as Prevention

et al. 2013

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“…The other rates (in year À1 ) are: ¼ 4.0, ¼ 6.5, ! ¼ 0.25, ¼ 0.5 [6]. Thus, the transmission coefficients are assessed [10] based on the number of cases observed and the recruitment rates given in Table I.…”

Section: Estimation Of the Transmission Coefficientsmentioning

confidence: 99%

“…Some are based on compartments and are being applied with great success in the study of the interaction between AIDS and TB [4,6,7,[9][10][11]. In this study we present a mathematical model that describes the interaction between HIV and MTB infections in a closed environment, like a prison or mental institution.…”

Section: Introductionmentioning

confidence: 99%

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An Approach to Estimating the Transmission Coefficients for AIDS and for Tuberculosis Using Mathematical Models

Raimundo

Engel

Yang

et al. 2003

Systems Analysis Modelling Simulation

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A mathematical model is presented to simulate the interaction between Human Immunodeficiency Virus (HIV) and Mycobacterium tuberculosis (MTB) infections in a closed environment. The dynamics is formulated through a compartmental system of non-linear ordinary differential equations. The stability of the trivial equilibrium point or absence of infections and the endemic basins are analyzed based on the threshold values for the HIV and MTB transmission coefficients. In order to deal with the estimation of the transmission coefficients of HIV and MTB infections we consider the incarcerated individuals in the Female Penitentiary of Sa˜o Paulo State, Brazil.

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“…It has attracted increasing attention in the field of mathematical epidemiology since the pioneering works by Dietz [14], Bremermann and Thieme [5], and others. For example, a number of mathematical models for HIV/TB coninfection [32, 45, 2, 43], HIV/malaria coinfection [34], HIV/gonorrhea coinfection [35], malaria and meningitis coinfection [26], and CA-MRSA/HA-MRSA co-colonization [11, 40] have been developed in recent years.…”

Section: Introductionmentioning

confidence: 99%

Antibiotic resistance as collateral damage: The tragedy of the commons in a two-disease setting

Gao

Lietman

Porco

2015

Mathematical Biosciences

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We propose a simple two-disease epidemic model where one disease exhibits only a drug-sensitive strain, while the other exhibits both drug-sensitive and drug-resistant strains. Treatment for the first disease may select for resistance in the other. We model antibiotic use as a mathematical game through the study of individual incentives and community welfare. The basic reproduction number is derived and the existence and local stability of the model equilibria are analyzed. When the force of infection of each disease is unaffected by the presence of the other, we find that there is a conflict of interest between individual and community, known as a tragedy of the commons, under targeted treatment towards persons infected by the single strain disease, but there is no conflict under mass treatment. However, we numerically show that individual and social incentive to use antibiotics may show disaccord under mass treatment if the restriction on the transmission ability of the dually infected people is removed, or drug resistant infection is worse than drug sensitive infection, or the uninfected state has a comparative disutility over the infected states.

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Modeling the interaction between aids and tuberculosis

Cited by 21 publications

References 19 publications

Changing Risk Behaviours and the HIV Epidemic: A Mathematical Analysis in the Context of Treatment as Prevention

Changing Risk Behaviours and the HIV Epidemic: A Mathematical Analysis in the Context of Treatment as Prevention

An Approach to Estimating the Transmission Coefficients for AIDS and for Tuberculosis Using Mathematical Models

Antibiotic resistance as collateral damage: The tragedy of the commons in a two-disease setting

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