title: Mathematical analysis of a lymphatic filariasis model with quarantine and treatment.
abstract: 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.
  
  
  
  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.
  
  
  
  We derive the effective reproduction number, [Formula: see text] 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.
  
  
  
  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.
authors.affiliation: School of Computer Science and Applied Mathematics, University of the Witwatersrand, Johannesburg, Private Bag 3, Wits, Johannesburg, 2050, South Africa. pmwamtobe@gmail.com.|DST-NRF Centre of Excellence in Mathematical and Statistical Sciences (CoE-MaSS), University of the Witwatersrand, Johannesburg, Private Bag 3, WitsJohannesburg, 2050, South Africa. pmwamtobe@gmail.com.|Department of Mathematics and Statistics, University of Malawi, Chichiri, Blantyre, Malawi. pmwamtobe@gmail.com.
authors.forename: Peter M
authors.initials: PM
authors.lastname: Mwamtobe
authors.affiliation: School of Computer Science and Applied Mathematics, University of the Witwatersrand, Johannesburg, Private Bag 3, Wits, Johannesburg, 2050, South Africa.|DST-NRF Centre of Excellence in Mathematical and Statistical Sciences (CoE-MaSS), University of the Witwatersrand, Johannesburg, Private Bag 3, WitsJohannesburg, 2050, South Africa.
authors.forename: Simphiwe M
authors.initials: SM
authors.lastname: Simelane
authors.affiliation: School of Computer Science and Applied Mathematics, University of the Witwatersrand, Johannesburg, Private Bag 3, Wits, Johannesburg, 2050, South Africa.|DST-NRF Centre of Excellence in Mathematical and Statistical Sciences (CoE-MaSS), University of the Witwatersrand, Johannesburg, Private Bag 3, WitsJohannesburg, 2050, South Africa.
authors.forename: Shirley
authors.initials: S
authors.lastname: Abelman
authors.affiliation: School of Computer Science and Applied Mathematics, University of the Witwatersrand, Johannesburg, Private Bag 3, Wits, Johannesburg, 2050, South Africa.
authors.forename: Jean M
authors.initials: JM
authors.lastname: Tchuenche
mesh_terms: D003661:Decision Support Techniques; D004605:Elephantiasis, Filarial / Q000628:therapy* / Q000635:transmission; D006801:Humans; D008962:Models, Theoretical; D011790:Quarantine / Q000706:statistics & numerical data*
keywords: Intervention strategies; Latent stage; Lymphatic filariasis; Reproduction number