Geodesic
Global Analysis for a Delay-Distributed SIR Epidemic Model
Abdelhadi Abta1 ; Mohamed El Fatini2 ; Soufiane Elkhaiar1 ; Abdelilah Kaddar3
1Université Chouaib Doukkali, FS, BP.20, El Jadida, Morocco
2Université Ibn Tofail, FS, LIRNE, BP. 133, Kénitra, Morocco
3Université Mohammed V-Souissi, FSEJS, BP. 5285, Salé, Morocco
ESAIM. Proceedings, Tome 39 (2013), pp. 1-6
Cet article a éte moissonné depuis la source EDP Sciences

Voir la notice de l'article

One of the most tools for describing the incubation period in the epidemiological dynamic models is the distributed delays. In this paper, we propose a delay-distributed SIR epidemic model with a nonlinear incidence rate. Using the Lyapunov theory and LaSalle’s principle, we show the global asymptotic stability of the disease-free and the endemic equilibria. This analysis extends and performs existing results.
DOI : 10.1051/proc/201339001

Abdelhadi Abta  1   ; Mohamed El Fatini  2   ; Soufiane Elkhaiar  1   ; Abdelilah Kaddar  3

1 Université Chouaib Doukkali, FS, BP.20, El Jadida, Morocco
2 Université Ibn Tofail, FS, LIRNE, BP. 133, Kénitra, Morocco
3 Université Mohammed V-Souissi, FSEJS, BP. 5285, Salé, Morocco 
@article{EP_2013_39_a1,
     author = {Abdelhadi Abta and Mohamed El Fatini and Soufiane Elkhaiar and Abdelilah Kaddar},
     title = {Global {Analysis} for a {Delay-Distributed} {SIR} {Epidemic} {Model}},
     journal = {ESAIM. Proceedings},
     pages = {1--6},
     year = {2013},
     volume = {39},
     doi = {10.1051/proc/201339001},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/201339001/}
}
TY  - JOUR
AU  - Abdelhadi Abta
AU  - Mohamed El Fatini
AU  - Soufiane Elkhaiar
AU  - Abdelilah Kaddar
TI  - Global Analysis for a Delay-Distributed SIR Epidemic Model
JO  - ESAIM. Proceedings
PY  - 2013
SP  - 1
EP  - 6
VL  - 39
UR  - http://geodesic.mathdoc.fr/articles/10.1051/proc/201339001/
DO  - 10.1051/proc/201339001
LA  - en
ID  - EP_2013_39_a1
ER  - 
%0 Journal Article
%A Abdelhadi Abta
%A Mohamed El Fatini
%A Soufiane Elkhaiar
%A Abdelilah Kaddar
%T Global Analysis for a Delay-Distributed SIR Epidemic Model
%J ESAIM. Proceedings
%D 2013
%P 1-6
%V 39
%U http://geodesic.mathdoc.fr/articles/10.1051/proc/201339001/
%R 10.1051/proc/201339001
%G en
%F EP_2013_39_a1
Abdelhadi Abta; Mohamed El Fatini; Soufiane Elkhaiar; Abdelilah Kaddar. Global Analysis for a Delay-Distributed SIR Epidemic Model. ESAIM. Proceedings, Tome 39 (2013), pp. 1-6. doi: 10.1051/proc/201339001

Cité par Sources :