The Effect of Chemoprophylaxis for Exposed Individuals on Lymphatic Filariasis Model
Applied and Computational Mathematics
Volume 5, Issue 1, February 2016, Pages: 30-39
Received: Dec. 29, 2015; Accepted: Jan. 14, 2016; Published: Feb. 19, 2016
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Authors
Aziza Juma Iddi, Mathematics Department, University of Dar Es Salaam, Dar Es Salaam, Tanzania
Estomih Massawe, Mathematics Department, University of Dar Es Salaam, Dar Es Salaam, Tanzania
Gamba Nkwengulila, Zoology and Wildlife Conservation Department, University of Dar Es Salaam, Dar Es Salaam, Tanzania
Moatlhodi Kgosimore, Mathematics Department, Botswana College of Agriculture, Gaborone, Botswana
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Abstract
In this paper, a deterministic Lymphatic Filariasis (LF) model is formulated and analyzed with the aim of assessing the effect of chemoprophylaxis for the exposed individuals and treatment of symptomatic LF infections. Qualitative and quantitative analysis are implemented to determine the basic reproduction number Re necessary for the control of the diseases in the communities. The disease-free equilibrium (DFE) exists and is locally and globally asymptotically stable if Re<1, whereas if Re>1 the endemic equilibrium exists and it is locally asymptotically stable. Numerical simulations are carried to complement the analytical results.
Keywords
Chemoprophylaxis, Exposed Individuals, Lymphatic Filariasis
To cite this article
Aziza Juma Iddi, Estomih Massawe, Gamba Nkwengulila, Moatlhodi Kgosimore, The Effect of Chemoprophylaxis for Exposed Individuals on Lymphatic Filariasis Model, Applied and Computational Mathematics. Vol. 5, No. 1, 2016, pp. 30-39. doi: 10.11648/j.acm.20160501.15
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Copyright © 2016 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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