Mathematical analysis of a lymphatic filariasis model with quarantine and treatment

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dc.contributor.author Mwamtobe, P.M.
dc.contributor.author Simelane, S.M.
dc.contributor.author Abelman, S.
dc.contributor.author Tchuenche, J.M.
dc.date.accessioned 2017-11-08T09:58:19Z
dc.date.available 2017-11-08T09:58:19Z
dc.date.issued 2017-03
dc.identifier.citation Mwamtobe, 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.issn 1471-2458 (Online)
dc.identifier.uri http://hdl.handle.net/10539/23390
dc.description.abstract Background: 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.language.iso en en_ZA
dc.publisher BioMed 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 License en_ZA
dc.subject Decision support system en_ZA
dc.subject Elephantiasis, Filarial en_ZA
dc.subject Human en_ZA
dc.subject Quarantine en_ZA
dc.subject Statistics and numerical data en_ZA
dc.subject Theoretical model en_ZA
dc.subject Transmission en_ZA
dc.subject Intervention strategies en_ZA
dc.subject Latent stage en_ZA
dc.subject Reproduction number en_ZA
dc.subject DISEASE TRANSMISSION en_ZA
dc.subject INTEGRATED VECTOR en_ZA
dc.subject MALARIA en_ZA
dc.subject INFECTION en_ZA
dc.subject IMPACT en_ZA
dc.subject MANAGEMENT en_ZA
dc.subject LYMFASIM en_ZA
dc.subject IMMUNITY en_ZA
dc.subject EPIFIL en_ZA
dc.title Mathematical analysis of a lymphatic filariasis model with quarantine and treatment en_ZA
dc.type Article en_ZA
dc.journal.volume 17 en_ZA
dc.journal.title BMC PUBLIC HEALTH en_ZA
dc.description.librarian EM2017 en_ZA
dc.citation.doi 10.1186/s12889-017-4160-8 en_ZA
dc.citation.issue 1 en_ZA
dc.funder Peter 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


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