Geodesic
Bifurcation analysis on a delayed SIS epidemic model with stage structure
Electronic journal of differential equations, Tome 2007 (2007)
In this paper, a delayed SIS (Susceptible Infectious Susceptible) model with stage structure is investigated. We study the Hopf bifurcations and stability of the model. Applying the normal form theory and the center manifold argument, we derive the explicit formulas determining the properties of the bifurcating periodic solutions. The conditions to guarantee the global existence of periodic solutions are established. Also some numerical simulations for supporting the theoretical are given.
Classification : 34K13, 34K18, 34K20
Keywords: SIS model, delay, Hopf bifurcation, stability, periodic solution 
@article{EJDE_2007__2007__a269,
     author = {Liu,  Li and Li,  Xiangao and Zhuang,  Kejun},
     title = {Bifurcation analysis on a delayed {SIS} epidemic model with stage structure},
     journal = {Electronic journal of differential equations},
     year = {2007},
     volume = {2007},
     zbl = {1140.34427},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a269/}
}
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%A Li,  Xiangao
%A Zhuang,  Kejun
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%D 2007
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%F EJDE_2007__2007__a269
Liu,  Li; Li,  Xiangao; Zhuang,  Kejun. Bifurcation analysis on a delayed SIS epidemic model with stage structure. Electronic journal of differential equations, Tome 2007 (2007). http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a269/