Modeling the effect of screening of unaware infectives on the spread of HIV infection

Tripathi, Agraj; Naresh, Ram; Sharma, Dileep

doi:10.1016/j.amc.2006.07.007

Cited by 81 publications

(61 citation statements)

References 18 publications

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“…2013), (Seidu, B. and Makinde, O.D. (2014)., (Tripathi, A., et al 2007). The aim of this paper is to design and rigorously analyze a model that extends and complements the ones in the literatures by incorporating vaccination as control parameter…”

mentioning

confidence: 99%

Mathematical model for the control of infectious disease

Peter¹,

Akinduko²,

Oguntolu³

et al. 2018

Journal of Applied Sciences and Environmental Management

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ABSTRACT:We proposed a mathematical model of infectious disease dynamics. The model is a system of first order ordinary differential equations. The population is partitioned into three compartments of Susceptible ) (t S , Infected ) (t I and Recovered ) (t R . Two equilibria states exist: the disease-free equilibrium which is locally asymptotically stable if Ro < 1 and unstable if Ro > 1. Numerical simulation of the model shows that an increase in vaccination leads to low disease prevalence in a population.

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mentioning

confidence: 99%

Mathematical model for the control of infectious disease

Peter¹,

Akinduko²,

Oguntolu³

et al. 2018

Journal of Applied Sciences and Environmental Management

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“…In [18], it is assumed that the HIV epidemic spreads both through horizontal and vertical transmission; in [23], the immigration of infective individuals is considered, both models with a variable size population. The e¤ect of screening unaware infective individuals on the spread of HIV, in a constant population, is considered in the mathematical model proposed in [25]. In [5], the global stability is studied for a HIV/AIDS model with two infective stages and where a discrete time delay is introduced, describing the time from start of treatment in the symptomatic stage until treatment e¤ects become visible.…”

Section: Introductionmentioning

confidence: 99%

Global stability for a HIV/AIDS model

TORRES

2018

Communications Faculty of Science University of Ankara Series A1Mathematics and Statistics

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“…They showed that the controlled drug therapy in different cases gives better understanding to control the diseases progression or to get rid of the disease. In the work of Tripathi et al (2007), a model that considers infection leading to asymptomatic HIV infectives who are later screened and finally develop AIDS is presented without interventions. A similar approach was considered earlier by Hyman et al (2003) with differential infectivity and staged progression models.…”

Section: Introductionmentioning

confidence: 99%

A Comparative Study Between Two Systems with and Without Awareness in Controlling HIV/AIDS

Saha

Roy

2017

International Journal of Applied Mathematics and Computer Science

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It has always been a priority for all nations to reduce new HIV infections by implementing a comprehensive HIV prevention programme at a sufficient scale. Recently, the 'HIV counselling & testing' (HCT) campaign is gaining public attention, where HIV patients are identified through screening and immediately sent under a course of antiretroviral treatment (ART), neglecting the time extent they have been infected. In this article, we study a nonlinear mathematical model for the transmission dynamics of HIV/AIDS system receiving drug treatment along with effective awareness programs through media. Here, we consider two different circumstances: when treatment is only effective and when both treatment and awareness are included. The model is analyzed qualitatively using the stability theory of differential equations. The global stabilities of the equilibria under certain conditions are determined in terms of the model reproduction number. The effects of changes in some key epidemiological parameters are investigated. Projections are made to predict the long term dynamics of the disease. The epidemiological implications of such projections on public health planning and management are discussed. These studies show that the aware populations were less vulnerable to HIV infection than the unaware population.

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Modeling the effect of screening of unaware infectives on the spread of HIV infection

Cited by 81 publications

References 18 publications

Mathematical model for the control of infectious disease

Mathematical model for the control of infectious disease

Global stability for a HIV/AIDS model

A Comparative Study Between Two Systems with and Without Awareness in Controlling HIV/AIDS

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