The Effect of Chemoprophylaxis for Exposed Individuals on Lymphatic Filariasis Model

Aziza Juma Iddi; Estomih Massawe; Gamba Nkwengulila; Moatlhodi Kgosimore

doi:doi:10.11648/j.acm.20160501.15

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The Effect of Chemoprophylaxis for Exposed Individuals on Lymphatic Filariasis Model

Aziza Juma Iddi, Estomih Massawe, Gamba Nkwengulila, Moatlhodi Kgosimore

Published in Applied and Computational Mathematics (Volume 5, Issue 1)

Received: 29 December 2015 Accepted: 14 January 2016 Published: 19 February 2016

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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 R_e necessary for the control of the diseases in the communities. The disease-free equilibrium (DFE) exists and is locally and globally asymptotically stable if R_e<1, whereas if R_e>1 the endemic equilibrium exists and it is locally asymptotically stable. Numerical simulations are carried to complement the analytical results.

Published in	Applied and Computational Mathematics (Volume 5, Issue 1)
DOI	10.11648/j.acm.20160501.15
Page(s)	30-39
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2016. Published by Science Publishing Group

Keywords

Chemoprophylaxis, Exposed Individuals, Lymphatic Filariasis

References

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APA Style

Aziza Juma Iddi, Estomih Massawe, Gamba Nkwengulila, Moatlhodi Kgosimore. (2016). The Effect of Chemoprophylaxis for Exposed Individuals on Lymphatic Filariasis Model. Applied and Computational Mathematics, 5(1), 30-39. https://doi.org/10.11648/j.acm.20160501.15

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ACS Style

Aziza Juma Iddi; Estomih Massawe; Gamba Nkwengulila; Moatlhodi Kgosimore. The Effect of Chemoprophylaxis for Exposed Individuals on Lymphatic Filariasis Model. Appl. Comput. Math. 2016, 5(1), 30-39. doi: 10.11648/j.acm.20160501.15

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AMA Style

Aziza Juma Iddi, Estomih Massawe, Gamba Nkwengulila, Moatlhodi Kgosimore. The Effect of Chemoprophylaxis for Exposed Individuals on Lymphatic Filariasis Model. Appl Comput Math. 2016;5(1):30-39. doi: 10.11648/j.acm.20160501.15

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@article{10.11648/j.acm.20160501.15,
  author = {Aziza Juma Iddi and Estomih Massawe and Gamba Nkwengulila and Moatlhodi Kgosimore},
  title = {The Effect of Chemoprophylaxis for Exposed Individuals on Lymphatic Filariasis Model},
  journal = {Applied and Computational Mathematics},
  volume = {5},
  number = {1},
  pages = {30-39},
  doi = {10.11648/j.acm.20160501.15},
  url = {https://doi.org/10.11648/j.acm.20160501.15},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.20160501.15},
  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 ReRe>1 the endemic equilibrium exists and it is locally asymptotically stable. Numerical simulations are carried to complement the analytical results.},
 year = {2016}
}

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TY  - JOUR
T1  - The Effect of Chemoprophylaxis for Exposed Individuals on Lymphatic Filariasis Model
AU  - Aziza Juma Iddi
AU  - Estomih Massawe
AU  - Gamba Nkwengulila
AU  - Moatlhodi Kgosimore
Y1  - 2016/02/19
PY  - 2016
N1  - https://doi.org/10.11648/j.acm.20160501.15
DO  - 10.11648/j.acm.20160501.15
T2  - Applied and Computational Mathematics
JF  - Applied and Computational Mathematics
JO  - Applied and Computational Mathematics
SP  - 30
EP  - 39
PB  - Science Publishing Group
SN  - 2328-5613
UR  - https://doi.org/10.11648/j.acm.20160501.15
AB  - 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 ReRe>1 the endemic equilibrium exists and it is locally asymptotically stable. Numerical simulations are carried to complement the analytical results.
VL  - 5
IS  - 1
ER  -

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Author Information

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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Plain Text BibTeX RIS

APA Style

Aziza Juma Iddi, Estomih Massawe, Gamba Nkwengulila, Moatlhodi Kgosimore. (2016). The Effect of Chemoprophylaxis for Exposed Individuals on Lymphatic Filariasis Model. Applied and Computational Mathematics, 5(1), 30-39. https://doi.org/10.11648/j.acm.20160501.15

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ACS Style

Aziza Juma Iddi; Estomih Massawe; Gamba Nkwengulila; Moatlhodi Kgosimore. The Effect of Chemoprophylaxis for Exposed Individuals on Lymphatic Filariasis Model. Appl. Comput. Math. 2016, 5(1), 30-39. doi: 10.11648/j.acm.20160501.15

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AMA Style

Aziza Juma Iddi, Estomih Massawe, Gamba Nkwengulila, Moatlhodi Kgosimore. The Effect of Chemoprophylaxis for Exposed Individuals on Lymphatic Filariasis Model. Appl Comput Math. 2016;5(1):30-39. doi: 10.11648/j.acm.20160501.15

Copy | Download

@article{10.11648/j.acm.20160501.15,
  author = {Aziza Juma Iddi and Estomih Massawe and Gamba Nkwengulila and Moatlhodi Kgosimore},
  title = {The Effect of Chemoprophylaxis for Exposed Individuals on Lymphatic Filariasis Model},
  journal = {Applied and Computational Mathematics},
  volume = {5},
  number = {1},
  pages = {30-39},
  doi = {10.11648/j.acm.20160501.15},
  url = {https://doi.org/10.11648/j.acm.20160501.15},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.20160501.15},
  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 ReRe>1 the endemic equilibrium exists and it is locally asymptotically stable. Numerical simulations are carried to complement the analytical results.},
 year = {2016}
}

Copy | Download

TY  - JOUR
T1  - The Effect of Chemoprophylaxis for Exposed Individuals on Lymphatic Filariasis Model
AU  - Aziza Juma Iddi
AU  - Estomih Massawe
AU  - Gamba Nkwengulila
AU  - Moatlhodi Kgosimore
Y1  - 2016/02/19
PY  - 2016
N1  - https://doi.org/10.11648/j.acm.20160501.15
DO  - 10.11648/j.acm.20160501.15
T2  - Applied and Computational Mathematics
JF  - Applied and Computational Mathematics
JO  - Applied and Computational Mathematics
SP  - 30
EP  - 39
PB  - Science Publishing Group
SN  - 2328-5613
UR  - https://doi.org/10.11648/j.acm.20160501.15
AB  - 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 ReRe>1 the endemic equilibrium exists and it is locally asymptotically stable. Numerical simulations are carried to complement the analytical results.
VL  - 5
IS  - 1
ER  -

Copy | Download