Mathematical analysis of a lymphatic filariasis model with quarantine and treatment

dc.citation.doi10.1186/s12889-017-4160-8en_ZA
dc.citation.issue1en_ZA
dc.contributor.authorMwamtobe, P.M.
dc.contributor.authorSimelane, S.M.
dc.contributor.authorAbelman, S.
dc.contributor.authorTchuenche, J.M.
dc.date.accessioned2017-11-08T09:58:19Z
dc.date.available2017-11-08T09:58:19Z
dc.date.issued2017-03
dc.description.abstractBackground: Lymphatic filariasis is a globally neglected tropical parasitic disease which affects individuals of all ages and leads to an altered lymphatic system and abnormal enlargement of body parts. Methods: A mathematical model of lymphatic filariaris with intervention strategies is developed and analyzed. Control of infections is analyzed within the model through medical treatment of infected-acute individuals and quarantine of infected-chronic individuals. Results: We derive the effective reproduction number, R 0 , $\mathcal {R}_{0},$ and its interpretation/investigation suggests that treatment contributes to a reduction in lymphatic filariasis cases faster than quarantine. However, this reduction is greater when the two intervention approaches are applied concurrently. Conclusions: Numerical simulations are carried out to monitor the dynamics of the filariasis model sub-populations for various parameter values of the associated reproduction threshold. Lastly, sensitivity analysis on key parameters that drive the disease dynamics is performed in order to identify their relative importance on the disease transmission.en_ZA
dc.description.librarianEM2017en_ZA
dc.funderPeter M. Mwamtobe and Simphiwe M. Simelane thank the University of the Witwatersrand, Johannesburg respectively for a Postdoctoral Fellowship and a Postgraduate Merit Award. Peter M. Mwamtobe, Simphiwe M. Simelane and Prof Shirley Abelman thank the DST-NRF Centre of Excellence in Mathematical and Statistical Sciences (CoE-MaSS) for financial support. Prof Shirley Abelman also thanks the National Research Foundation of South Africa for a research grant.en_ZA
dc.identifier.citationMwamtobe, P.M. et al. 2017. Mathematical analysis of a lymphatic filariasis model with quarantine and treatment. BMC PUBLIC HEALTH, 17, Article number 265.en_ZA
dc.identifier.issn1471-2458 (Online)
dc.identifier.urihttp://hdl.handle.net/10539/23390
dc.journal.titleBMC PUBLIC HEALTHen_ZA
dc.journal.volume17en_ZA
dc.language.isoenen_ZA
dc.publisherBioMed Central Ltd.en_ZA
dc.rights© The Author(s). 2017. This article is distributed under the terms of the Creative Commons Attribution 4.0 International Licenseen_ZA
dc.subjectDecision support systemen_ZA
dc.subjectElephantiasis, Filarialen_ZA
dc.subjectHumanen_ZA
dc.subjectQuarantineen_ZA
dc.subjectStatistics and numerical dataen_ZA
dc.subjectTheoretical modelen_ZA
dc.subjectTransmissionen_ZA
dc.subjectIntervention strategiesen_ZA
dc.subjectLatent stageen_ZA
dc.subjectReproduction numberen_ZA
dc.subjectDISEASE TRANSMISSIONen_ZA
dc.subjectINTEGRATED VECTORen_ZA
dc.subjectMALARIAen_ZA
dc.subjectINFECTIONen_ZA
dc.subjectIMPACTen_ZA
dc.subjectMANAGEMENTen_ZA
dc.subjectLYMFASIMen_ZA
dc.subjectIMMUNITYen_ZA
dc.subjectEPIFILen_ZA
dc.titleMathematical analysis of a lymphatic filariasis model with quarantine and treatmenten_ZA
dc.typeArticleen_ZA
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