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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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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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.
Chemoprophylaxis, Exposed Individuals, Lymphatic Filariasis
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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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