Analysis of an SEIVR Epidemic Model with Partial Immunization and Nonlinear Infection Rate

被引：0
|
作者：
Wang, Fangwei [1 ]
Wang, Changguang [1 ]
Zhao, Dongmei [1 ]
Zhang, Yunkai [2 ]
机构：
[1] Hebei Normal Univ, Coll Informat Technol, Shijiazhuang, Peoples R China
[2] Shijiazhuang Inst Railway Technol, Dept Comp Sci, Shijiazhuang, Peoples R China
来源：
PROCEEDINGS 2016 INTERNATIONAL CONFERENCE ON NETWORKING AND NETWORK APPLICATIONS NANA 2016 | 2016年
关键词：
network security; Internet worm; stability analysis; nonlinear infection rate; partial immunization; STABILITY ANALYSIS; IMMUNITY;
D O I：
10.1109/NaNA.2016.9
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, an epidemic model describing the transmission dynamics of a worm with partial immunization and nonlinear rate is investigated. Using this SVEIR model, we obtain the basic reproduction number for determining whether the worm dies out completely. The global stabilities of infection-free and endemic equilibriums are proven by using two different Lyapunov functions. The impact of different parameters of this model is studied. Simulation results show that the number of susceptible and infected hosts is consistent with theoretical analysis. The model provides a theoretical foundation for control and forecasting Internet worms.
引用
收藏
页码：307 / 312
页数：6
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