Le SIDA au Ghana (serveur d'exploration)

Attention, ce site est en cours de développement !
Attention, site généré par des moyens informatiques à partir de corpus bruts.
Les informations ne sont donc pas validées.

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

Identifieur interne : 000311 ( Main/Exploration ); précédent : 000310; suivant : 000312

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

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

Source :

RBID : pubmed:25980477

Descripteurs français

English descriptors

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:


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


Le document en format XML

<record>
<TEI>
<teiHeader>
<fileDesc>
<titleStmt>
<title xml:lang="en">Mathematical Analysis of the Effects of HIV-Malaria Co-infection on Workplace Productivity.</title>
<author>
<name sortKey="Seidu, Baba" sort="Seidu, Baba" uniqKey="Seidu B" first="Baba" last="Seidu">Baba Seidu</name>
<affiliation wicri:level="1">
<nlm:affiliation>Applied Mathematics Department, Faculty of Mathematical Sciences, University for Development, Navrongo, Ghana, bseidu@uds.edu.gh.</nlm:affiliation>
<country wicri:rule="url">Ghana</country>
<wicri:regionArea>Applied Mathematics Department, Faculty of Mathematical Sciences, University for Development, Navrongo, Ghana</wicri:regionArea>
<wicri:noRegion>Ghana</wicri:noRegion>
</affiliation>
</author>
<author>
<name sortKey="Makinde, Oluwole D" sort="Makinde, Oluwole D" uniqKey="Makinde O" first="Oluwole D" last="Makinde">Oluwole D. Makinde</name>
</author>
<author>
<name sortKey="Seini, Ibrahim Y" sort="Seini, Ibrahim Y" uniqKey="Seini I" first="Ibrahim Y" last="Seini">Ibrahim Y. Seini</name>
</author>
</titleStmt>
<publicationStmt>
<idno type="wicri:source">PubMed</idno>
<date when="2015">2015</date>
<idno type="RBID">pubmed:25980477</idno>
<idno type="pmid">25980477</idno>
<idno type="doi">10.1007/s10441-015-9255-y</idno>
<idno type="wicri:Area/PubMed/Corpus">000519</idno>
<idno type="wicri:explorRef" wicri:stream="PubMed" wicri:step="Corpus" wicri:corpus="PubMed">000519</idno>
<idno type="wicri:Area/PubMed/Curation">000519</idno>
<idno type="wicri:explorRef" wicri:stream="PubMed" wicri:step="Curation">000519</idno>
<idno type="wicri:Area/PubMed/Checkpoint">000519</idno>
<idno type="wicri:explorRef" wicri:stream="Checkpoint" wicri:step="PubMed">000519</idno>
<idno type="wicri:Area/Ncbi/Merge">000826</idno>
<idno type="wicri:Area/Ncbi/Curation">000826</idno>
<idno type="wicri:Area/Ncbi/Checkpoint">000826</idno>
<idno type="wicri:Area/Main/Merge">000311</idno>
<idno type="wicri:Area/Main/Curation">000311</idno>
<idno type="wicri:Area/Main/Exploration">000311</idno>
</publicationStmt>
<sourceDesc>
<biblStruct>
<analytic>
<title xml:lang="en">Mathematical Analysis of the Effects of HIV-Malaria Co-infection on Workplace Productivity.</title>
<author>
<name sortKey="Seidu, Baba" sort="Seidu, Baba" uniqKey="Seidu B" first="Baba" last="Seidu">Baba Seidu</name>
<affiliation wicri:level="1">
<nlm:affiliation>Applied Mathematics Department, Faculty of Mathematical Sciences, University for Development, Navrongo, Ghana, bseidu@uds.edu.gh.</nlm:affiliation>
<country wicri:rule="url">Ghana</country>
<wicri:regionArea>Applied Mathematics Department, Faculty of Mathematical Sciences, University for Development, Navrongo, Ghana</wicri:regionArea>
<wicri:noRegion>Ghana</wicri:noRegion>
</affiliation>
</author>
<author>
<name sortKey="Makinde, Oluwole D" sort="Makinde, Oluwole D" uniqKey="Makinde O" first="Oluwole D" last="Makinde">Oluwole D. Makinde</name>
</author>
<author>
<name sortKey="Seini, Ibrahim Y" sort="Seini, Ibrahim Y" uniqKey="Seini I" first="Ibrahim Y" last="Seini">Ibrahim Y. Seini</name>
</author>
</analytic>
<series>
<title level="j">Acta biotheoretica</title>
<idno type="eISSN">1572-8358</idno>
<imprint>
<date when="2015" type="published">2015</date>
</imprint>
</series>
</biblStruct>
</sourceDesc>
</fileDesc>
<profileDesc>
<textClass>
<keywords scheme="KwdEn" xml:lang="en">
<term>Coinfection</term>
<term>Computer Simulation</term>
<term>Efficiency</term>
<term>HIV (pathogenicity)</term>
<term>HIV Infections (prevention & control)</term>
<term>Humans</term>
<term>Malaria (prevention & control)</term>
<term>Models, Theoretical</term>
<term>Plasmodium falciparum (pathogenicity)</term>
<term>Workplace</term>
</keywords>
<keywords scheme="KwdFr" xml:lang="fr">
<term>Co-infection</term>
<term>Humains</term>
<term>Infections à VIH ()</term>
<term>Lieu de travail</term>
<term>Modèles théoriques</term>
<term>Paludisme ()</term>
<term>Plasmodium falciparum (pathogénicité)</term>
<term>Rendement</term>
<term>Simulation numérique</term>
<term>VIH (Virus de l'Immunodéficience Humaine) (pathogénicité)</term>
</keywords>
<keywords scheme="MESH" qualifier="pathogenicity" xml:lang="en">
<term>HIV</term>
<term>Plasmodium falciparum</term>
</keywords>
<keywords scheme="MESH" qualifier="pathogénicité" xml:lang="fr">
<term>Plasmodium falciparum</term>
<term>VIH (Virus de l'Immunodéficience Humaine)</term>
</keywords>
<keywords scheme="MESH" qualifier="prevention & control" xml:lang="en">
<term>HIV Infections</term>
<term>Malaria</term>
</keywords>
<keywords scheme="MESH" xml:lang="en">
<term>Coinfection</term>
<term>Computer Simulation</term>
<term>Efficiency</term>
<term>Humans</term>
<term>Models, Theoretical</term>
<term>Workplace</term>
</keywords>
<keywords scheme="MESH" xml:lang="fr">
<term>Co-infection</term>
<term>Humains</term>
<term>Infections à VIH</term>
<term>Lieu de travail</term>
<term>Modèles théoriques</term>
<term>Paludisme</term>
<term>Rendement</term>
<term>Simulation numérique</term>
</keywords>
</textClass>
</profileDesc>
</teiHeader>
<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>
</front>
</TEI>
<affiliations>
<list>
<country>
<li>Ghana</li>
</country>
</list>
<tree>
<noCountry>
<name sortKey="Makinde, Oluwole D" sort="Makinde, Oluwole D" uniqKey="Makinde O" first="Oluwole D" last="Makinde">Oluwole D. Makinde</name>
<name sortKey="Seini, Ibrahim Y" sort="Seini, Ibrahim Y" uniqKey="Seini I" first="Ibrahim Y" last="Seini">Ibrahim Y. Seini</name>
</noCountry>
<country name="Ghana">
<noRegion>
<name sortKey="Seidu, Baba" sort="Seidu, Baba" uniqKey="Seidu B" first="Baba" last="Seidu">Baba Seidu</name>
</noRegion>
</country>
</tree>
</affiliations>
</record>

Pour manipuler ce document sous Unix (Dilib)

EXPLOR_STEP=$WICRI_ROOT/Wicri/Sante/explor/SidaGhanaV1/Data/Main/Exploration
HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 000311 | SxmlIndent | more

Ou

HfdSelect -h $EXPLOR_AREA/Data/Main/Exploration/biblio.hfd -nk 000311 | SxmlIndent | more

Pour mettre un lien sur cette page dans le réseau Wicri

{{Explor lien
   |wiki=    Wicri/Sante
   |area=    SidaGhanaV1
   |flux=    Main
   |étape=   Exploration
   |type=    RBID
   |clé=     pubmed:25980477
   |texte=   Mathematical Analysis of the Effects of HIV-Malaria Co-infection on Workplace Productivity.
}}

Pour générer des pages wiki

HfdIndexSelect -h $EXPLOR_AREA/Data/Main/Exploration/RBID.i   -Sk "pubmed:25980477" \
       | HfdSelect -Kh $EXPLOR_AREA/Data/Main/Exploration/biblio.hfd   \
       | NlmPubMed2Wicri -a SidaGhanaV1 

Wicri

This area was generated with Dilib version V0.6.31.
Data generation: Tue Nov 7 18:07:38 2017. Site generation: Tue Mar 5 15:01:57 2024