Abstract
An SIRS model with constant immigration of susceptible and saturated infection rate is established according to the propagation of the infectious viruses in a small world network. By using the mean-field theory and qualitative theory of differential equations, the existence and stability of equilibrium points of the system was analyzed. It also prove that the transmission threshold of this model is not entirely concerned with the topology of networks but also related to other factors such as immunization rate of the susceptible people. By using numerical simulation method to study the different factors which control the viruses, we obtained the conclusion that rewiring probability and the average of the nodes had an evident effect on the computer viruses’ propagation in a small world network.
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Acknowledgments
This paper is sponsored by the National Natural Science Foundation of China (NSFC, Grant U1204703, U1304614), the Key Scientific and Technological Project of Henan Province (122102310004), the Innovation Scientists and Technicians Troop Construction Projects of Zhengzhou City (10LJRC190, 131PCXTD597), the Key Scientific and Technological Project of The Education Department of Henan Province (13A413355, 13A790352, ITE12001) and 2012 year university subject of Zhengzhou Normal University (2012074).
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Chen, Ql., Chen, L., Sun, ZQ., Jia, Zj. (2015). An Epidemic Propagation Model with Saturated Infection Rate on a Small World Network. In: Huang, DS., Han, K. (eds) Advanced Intelligent Computing Theories and Applications. ICIC 2015. Lecture Notes in Computer Science(), vol 9227. Springer, Cham. https://doi.org/10.1007/978-3-319-22053-6_4
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DOI: https://doi.org/10.1007/978-3-319-22053-6_4
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