Analysis of an epidemic system with impulsive input and time delays

Analysis of an epidemic system with impulsive input and time delays

In this paper, an SEIRS epidemic disease model with double delays of latent period and immune period is formulated, and the global dynamics behaviors of the model under pulse input and vaccination are analyzed. By use of the stroboscopic map, an `infection-free' periodic solution is obtained, a...

Ausführliche Beschreibung

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Bibliographische Detailangaben
Hauptverfasser: Wencai Zhao, Tongqian Zhang, Xinzhu Meng, Zhengbo Chang
Format: Tagungsbericht
Sprache:eng
Schlagworte:
Analytical models
Biological system modeling
Computational modeling
Delay
Diseases
global attractivity
impulsive input
impulsive vaccination
Mathematical model
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Beschreibung
Zusammenfassung:In this paper, an SEIRS epidemic disease model with double delays of latent period and immune period is formulated, and the global dynamics behaviors of the model under pulse input and vaccination are analyzed. By use of the stroboscopic map, an `infection-free' periodic solution is obtained, and the global attractivity of the `infection-free' periodic solution is given.
DOI:10.1109/CECNet.2012.6202112