| Issue |
ITM Web of Conferences
Volume 4, 2015
Workshop on Mathematics for Life Sciences (WMLS 2014)
|
|
|---|---|---|
| Article Number | 01007 | |
| Number of page(s) | 7 | |
| DOI | https://doi.org/10.1051/itmconf/20150401007 | |
| Published online | 07 May 2015 | |
Visceral leishmania model
Laboratory of Biomathematics, Univ. Sidi Bel Abbes, PB. 89, Sidi Bel Abbes 22000, Algeria
a e-mail: boukhalfa_tema@yahoo.fr
b e-mail: mhelal_abbes@yahoo.fr
c e-mail: lakmeche@yahoo.fr
In this work we consider a mathematical model based on a system of ordinary differential equations describing the evolution of population of dogs infected by leishmania diseases. By analyzing the corresponding characteristic equations, the local stability of infection free equilibrium point and infection equilibrium point are discussed. It is shown that if the basic reproduction number R0 is less than one, the infection free equilibrium is locally asymptotically stable, whereas if the basic reproduction number R0 is great than one the infection equilibrium point is locally asymptotically stable, and the infection free equilibrium is unstable.
© Owned by the authors, published by EDP Sciences, 2015
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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