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Mathematical Analysis of the Effects of HIV-Malaria Co-infection on Workplace Productivity.

Identifieur interne : 000210 ( PubMed/Checkpoint ); précédent : 000209; suivant : 000211

Mathematical Analysis of the Effects of HIV-Malaria Co-infection on Workplace Productivity.

Auteurs : Baba Seidu [Ghana] ; Oluwole D. Makinde ; Ibrahim Y. Seini

Source :

Acta biotheoretica [ 1572-8358 ] ; 2015.

RBID : pubmed:25980477

Descripteurs français

KwdFr :
- Co-infection, Humains, Infections à VIH (), Lieu de travail, Modèles théoriques, Paludisme (), Plasmodium falciparum (pathogénicité), Rendement, Simulation numérique, VIH (Virus de l'Immunodéficience Humaine) (pathogénicité).
MESH :
- pathogénicité : Plasmodium falciparum, VIH (Virus de l'Immunodéficience Humaine).
- Co-infection, Humains, Infections à VIH, Lieu de travail, Modèles théoriques, Paludisme, Rendement, Simulation numérique.

English descriptors

KwdEn :
- Coinfection, Computer Simulation, Efficiency, HIV (pathogenicity), HIV Infections (prevention & control), Humans, Malaria (prevention & control), Models, Theoretical, Plasmodium falciparum (pathogenicity), Workplace.
MESH :
- pathogenicity : HIV, Plasmodium falciparum.
- prevention & control : HIV Infections, Malaria.
- Coinfection, Computer Simulation, Efficiency, Humans, Models, Theoretical, Workplace.

Abstract

In this paper, a nonlinear dynamical system is proposed and qualitatively analyzed to study the dynamics and effects of HIV-malaria co-infection in the workplace. Basic reproduction numbers of sub-models are derived and are shown to have LAS disease-free equilibria when their respective basic reproduction numbers are less than unity. Conditions for existence of endemic equilibria of sub-models are also derived. Unlike the HIV-only model, the malaria-only model is shown to exhibit a backward bifurcation under certain conditions. Conditions for optimal control of the co-infection are derived using the Pontryagin's maximum principle. Numerical experimentation on the resulting optimality system is performed. Using the incremental cost-effectiveness ratio, it is observed that combining preventative measures for both diseases is the best strategy for optimal control of HIV-malaria co-infection at the workplace.

DOI: 10.1007/s10441-015-9255-y
PubMed: 25980477

Affiliations:

Ghana

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pubmed:25980477

Le document en format XML

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<front><div type="abstract" xml:lang="en">In this paper, a nonlinear dynamical system is proposed and qualitatively analyzed to study the dynamics and effects of HIV-malaria co-infection in the workplace. Basic reproduction numbers of sub-models are derived and are shown to have LAS disease-free equilibria when their respective basic reproduction numbers are less than unity. Conditions for existence of endemic equilibria of sub-models are also derived. Unlike the HIV-only model, the malaria-only model is shown to exhibit a backward bifurcation under certain conditions. Conditions for optimal control of the co-infection are derived using the Pontryagin's maximum principle. Numerical experimentation on the resulting optimality system is performed. Using the incremental cost-effectiveness ratio, it is observed that combining preventative measures for both diseases is the best strategy for optimal control of HIV-malaria co-infection at the workplace.</div>
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Mathematical Analysis of the Effects of HIV-Malaria Co-infection on Workplace Productivity.

Mathematical Analysis of the Effects of HIV-Malaria Co-infection on Workplace Productivity.

Source :

Descripteurs français

English descriptors

Abstract

Links toward previous steps (curation, corpus...)

Links to Exploration step

Le document en format XML

Pour manipuler ce document sous Unix (Dilib)

Pour mettre un lien sur cette page dans le réseau Wicri

Pour générer des pages wiki