Mathematical assessment of the role of pre-exposure prophylaxis on HIV transmission dynamics

Simpson, Lindsay; Gumel, Abba B.

doi:10.1016/j.amc.2016.07.043

Cited by 15 publications

(9 citation statements)

References 23 publications

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“…Nevertheless, these findings confirm certain reservations regarding PrEP. To fully integrate this new prevention option into the public health response to HIV and AIDS and to have it play the intended substantial role in future HIV prevention (Simpson and Gumel 2017 ), it will be crucial to gain knowledge not only about the awareness of PrEP (see, for example, Eaton et al 2015 ), but also about the intention to use this new HIV prevention option in key populations; it will be important to understand the decision making of potential users and to elicit the dynamics influencing the intention to use PrEP (Auerbach and Hoppe 2015 ; UNAIDS 2014 ).…”

Section: Introductionmentioning

confidence: 99%

The intention to use HIV-pre-exposure prophylaxis (PrEP) among men who have sex with men in Switzerland: testing an extended explanatory model drawing on the unified theory of acceptance and use of technology (UTAUT)

et al. 2017

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AimThe aim of this study was to determine the intention to use pre-exposure prophylaxis (PrEP) when available and to identify predictors of the intention to use PrEP among men who have sex with men (MSM) living in Switzerland. The theoretical model drew on the Unified Theory of Acceptance and Use of Technology and considered additional variables related specifically to PrEP, HIV protection and the resources of MSM.Subject and methodsFor data collection, we used an anonymous, standardized self-administered online questionnaire. In 2015, we gathered a convenience sample of 556 HIV-negative MSM living in Switzerland. We analyzed the data using descriptive and bivariate statistics and used structural equation modeling to test the hypothesized model.ResultsPredictors of respondents’ moderate intention to use PrEP were performance expectancy, effort expectancy, perceived social influence, concerns about using PrEP, attitudes toward condom use, negative experiences of condom use and age. These variables were predicted by HIV protection-related aspects and resources.ConclusionThe findings provide insights into the complex dynamic underlying the intention to use PrEP.

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Section: Introductionmentioning

confidence: 99%

The intention to use HIV-pre-exposure prophylaxis (PrEP) among men who have sex with men in Switzerland: testing an extended explanatory model drawing on the unified theory of acceptance and use of technology (UTAUT)

et al. 2017

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“…To study the global stability of the system ( 11 ) around the infection-free equilibrium , we apply the comparison theorem of [ 39 ]. In this respect, now, we rewrite the infected classes and V ) of the system ( 11 ) with the help of the next-generation matrix method (discussed in the previous subsection) as follows: From the previous subsection, it could be observed that in , and consequently Thus, the above linearized inequality system is expressing the fact that this system would be stable if the spectral radius of the next-generation matrix is less than unity, i.e., [ 40 ]. Next, using the standard comparison theorem [ 39 ], we obtain Thus, returning back to the system Eq.…”

Section: Consideration Of Subsystemmentioning

confidence: 99%

“…Therefore, the epidemic system ( 11 ) experiences backward bifurcation whenever and . The appearance of backward bifurcation creates difficulties in control of any epidemic [ 40 ]. Thus, only the reduction of the basic reproduction number less than unity cannot eliminate an infection from an epidemic system.…”

Section: Consideration Of Subsystemmentioning

confidence: 99%

Dynamical demeanour of SARS-CoV-2 virus undergoing immune response mechanism in COVID-19 pandemic

Mondal

Samui

Chatterjee

2022

Eur. Phys. J. Spec. Top.

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COVID-19 is caused by the increase of SARS-CoV-2 viral load in the respiratory system. Epithelial cells in the human lower respiratory tract are the major target area of the SARS-CoV-2 viruses. To fight against the SARS-CoV-2 viral infection, innate and thereafter adaptive immune responses be activated which are stimulated by the infected epithelial cells. Strong immune response against the COVID-19 infection can lead to longer recovery time and less severe secondary complications. We proposed a target cell-limited mathematical model by considering a saturation term for SARS-CoV-2-infected epithelial cells loss reliant on infected cells level. The analytical findings reveal the conditions for which the system undergoes transcritical bifurcation and alternation of stability for the system around the steady states happens. Due to some external factors, while the viral reproduction rate exceeds its certain critical value, backward bifurcation and reinfection may take place and to inhibit these complicated epidemic states, host immune response, or immunopathology would play the essential role. Numerical simulation has been performed in support of the analytical findings.

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“….., n is positively invariant with respect to the model (2.1). Thus, in the region Ω, the model (2.1) is mathematically well-posed and epidemiologically feasible [26].…”

Section: The Feasible Regionmentioning

confidence: 99%

Optimal control analysis of bluetongue virus transmission in patchy environments connected by host and wind-aided midge movements

Mugabi

Duffy

Mugisha

et al. 2021

J. Appl. Math. Comput.

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Bluetongue, a midge-borne disease of ruminants caused by the bluetongue virus (BTV) can rapidly spread from one region (patch) to another by host and/or midge movements, making its control difficult. A multi-patch deterministic model for BTV is formulated and analysed to evaluate the effectiveness of vaccination, quarantine, insecticide spraying and the use of repellent control strategies in reducing the within and between-patches transmission. By using optimal control theory, the effectiveness of these strategies is established. Incremental cost-effectiveness ratios are calculated to determine the most cost-effective strategy. In a single patch, vaccination, insecticide spraying and the use of repellents are all highly effective in minimising transmission, but the most cost-effective is vaccination. In patches connected by host and midge movements, if any of these controls is applied in a high-risk patch, a disease-free status is achieved in both patches, but if implemented in a low-risk patch, it is not attained in any patch. If hosts and midges move, quarantine has no effect, but for no midge movement, the effect can be large in a low-risk patch if it's internally imposed.

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Mathematical assessment of the role of pre-exposure prophylaxis on HIV transmission dynamics

Cited by 15 publications

References 23 publications

The intention to use HIV-pre-exposure prophylaxis (PrEP) among men who have sex with men in Switzerland: testing an extended explanatory model drawing on the unified theory of acceptance and use of technology (UTAUT)

The intention to use HIV-pre-exposure prophylaxis (PrEP) among men who have sex with men in Switzerland: testing an extended explanatory model drawing on the unified theory of acceptance and use of technology (UTAUT)

Dynamical demeanour of SARS-CoV-2 virus undergoing immune response mechanism in COVID-19 pandemic

Optimal control analysis of bluetongue virus transmission in patchy environments connected by host and wind-aided midge movements

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