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A class of SIR epidemic model with saturation incidence and age of infection
Haier International Training Center, Qingdao, China July 30-August 01
DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/SNPD.2007.74Eighth ACIS International Conference ...
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Junyuan Yang, Fengqin Zhang, Xiaoyan Wang, "A class of SIR epidemic model with saturation incidence and age of infection," Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing, ACIS International Conference on, vol. 1, pp. 146-149, Eighth ACIS International Conference on Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing (SNPD 2007), 2007.
 
 
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@article{ 10.1109/SNPD.2007.74,
author = {Junyuan Yang and Fengqin Zhang and Xiaoyan Wang},
title = {A class of SIR epidemic model with saturation incidence and age of infection},
journal ={Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing, ACIS International Conference on},
volume = {1},
year = {2007},
isbn = {0-7695-2909-7},
pages = {146-149},
doi = {http://doi.ieeecomputersociety.org/10.1109/SNPD.2007.74},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}
 
 
RefWorks Procite/RefMan/Endnote
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TY - CONF
JO - Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing, ACIS International Conference on
TI - A class of SIR epidemic model with saturation incidence and age of infection
SN - 0-7695-2909-7
SP146
EP149
A1 - Junyuan Yang,
A1 - Fengqin Zhang,
A1 - Xiaoyan Wang,
PY - 2007
KW - epidemic model; age of infection; local stability; saturation incidence.
VL - 1
JA - Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing, ACIS International Conference on
ER -
 
Junyuan Yang, Yuncheng University, China
Fengqin Zhang, Yuncheng University, China
Xiaoyan Wang, Yuncheng University, China
Saturating contact rate of individual contacts is very important in an epidemiology model. A class of SIR model with saturation incidence and age of infection is formulated in this paper. The dynamical behavior of the model is studied and the basic reproductive number R_0 is defined. It is proved that the diseased-free equilibrium is globally asymptotically stable if R_0 \le 1. The endemic equilibrium is locally asymptotically stable if K_1 \ge \alpha and R_0 \ge 1.
Index Terms:
epidemic model; age of infection; local stability; saturation incidence.
Citation:
Junyuan Yang, Fengqin Zhang, Xiaoyan Wang, "A class of SIR epidemic model with saturation incidence and age of infection," snpd, vol. 1, pp.146-149, Eighth ACIS International Conference on Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing (SNPD 2007), 2007
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