Geodesic
Global dynamics for a delayed hepatitis C virus infection model
Electronic journal of differential equations, Tome 2014 (2014)
In this paper, we present a delay Hepatitis C virus infection model with Beddington-DeAngelis functional response. We first introduce five reproduction numbers, and then show that the system has five possible equilibria depended on the reproductive numbers. By constructing suitable Lyapunov functionals, the global dynamics for the five equilibria of the model is completely determined by the five reproductive numbers.
Classification : 34K18, 34K20, 92D30
Keywords: delay virus model, global stability, Lyapunov functional, beddington-deangelis functional response, lasalle invariance principle 
@article{EJDE_2014__2014__a87,
     author = {Zhao,  Yingying and Xu,  Zhiting},
     title = {Global dynamics for a delayed hepatitis {C} virus infection model},
     journal = {Electronic journal of differential equations},
     year = {2014},
     volume = {2014},
     zbl = {1304.34141},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a87/}
}
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AU  - Xu,  Zhiting
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JO  - Electronic journal of differential equations
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%A Zhao,  Yingying
%A Xu,  Zhiting
%T Global dynamics for a delayed hepatitis C virus infection model
%J Electronic journal of differential equations
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%V 2014
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%F EJDE_2014__2014__a87
Zhao,  Yingying; Xu,  Zhiting. Global dynamics for a delayed hepatitis C virus infection model. Electronic journal of differential equations, Tome 2014 (2014). http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a87/