alexa Zoonotic Visceral Leishmania: Modeling and Control
ISSN: 2168-9679

Journal of Applied & Computational Mathematics
Open Access

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Research Article

Zoonotic Visceral Leishmania: Modeling and Control

Zamir Muhammad1* and Rahmat Ali2

1Department of Mathematics, University of Science and Technology Bannu, Khyber Pakhtunkhwa, Pakistan

2Department of Mathematics, University of Malakand Chakdara Lower Dir, Khyber Pakhtunkhwa, Pakistan

*Corresponding Author:
Zamir M
Department of Mathematics, University of Science and Technology Bannu
Khyber Pakhtunkhwa, Pakistan
Tel: 0092331917093
E-mail: [email protected]

Received May 17, 2015; Accepted July 17, 2015; Published July 24, 2015

Citation: Muhammad Z, Ali R (2015) Zoonotic Visceral Leishmania: Modeling and Control. J Appl Computat Math 4: 238. doi:10.4172/2168-9679.1000238

Copyright: © 2015 Muhammad Z, et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.



In this work we focus on the transmission dynamics of Visceral strains of leishmania, using mathematical model with two latent compartments in human. From the governing differential equations of the model, we find the reproductive number R0; the number of secondary infection and its biological interpretation. Using Routh- Hurwitz criteria on upper bound matrix, the threshold condition, for stability of the Disease Free State, is calculated. Finally we show that the disease free equilibrium is globally asymptotically stable if R0<<ξ 11.


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