| Issue |
ITM Web of Conferences
Volume 4, 2015
Workshop on Mathematics for Life Sciences (WMLS 2014)
|
|
|---|---|---|
| Article Number | 01009 | |
| Number of page(s) | 8 | |
| DOI | https://doi.org/10.1051/itmconf/20150401009 | |
| Published online | 07 May 2015 | |
Impulsive prion disease model
1 Laboratory of Biomathematics, Univ. Sidi Bel Abbes, PB. 89, Sidi Bel Abbes 22000, Algeria
2 Laboratory of Mathematics, Univ. Sidi Bel Abbes, PB. 89, Sidi Bel Abbes 22000, Algeria
a e-mail: lakmeche@yahoo.fr
b e-mail: mhelal_abbes@yahoo.fr
c e-mail: i.mammar@yahoo.fr
d e-mail: agh_ouahab@yahoo.fr
A model of prion diseases with impulse effects is studied in this work. First we transform the model to a system of three differential equations with impulse effects in order to study the stability of periodic solution. After that we study the general model by the mean of evolution semi group in order to find conditions of existence of mild solution.
© 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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