Geodesic
On the dynamics of a delayed SIR epidemic model with a modified saturated incidence rate
Electronic journal of differential equations, Tome 2009 (2009)
In this paper, a delayed SIR epidemic model with modified saturated incidence rate is proposed. The local stability and the existence of Hopf bifurcation are established. Also some numerical simulations are given to illustrate the theoretical analysis.
Classification : 37G15, 91B62
Keywords: SIR epidemic model, incidence rate, delayed differential equations, Hopf bifurcation, periodic solutions 
@article{EJDE_2009__2009__a42,
     author = {Kaddar,  Abdelilah},
     title = {On the dynamics of a delayed {SIR} epidemic model with a modified saturated incidence rate},
     journal = {Electronic journal of differential equations},
     year = {2009},
     volume = {2009},
     zbl = {1183.37092},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a42/}
}
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%0 Journal Article
%A Kaddar,  Abdelilah
%T On the dynamics of a delayed SIR epidemic model with a modified saturated incidence rate
%J Electronic journal of differential equations
%D 2009
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Kaddar,  Abdelilah. On the dynamics of a delayed SIR epidemic model with a modified saturated incidence rate. Electronic journal of differential equations, Tome 2009 (2009). http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a42/