Abstract
This paper proposes a epidemic spreading model considering dynamic change of networks. A function p(t) reflecting the dynamic change of network is established, which is a probability that the infected from the susceptible at time t. This function replaces the constant rate in the traditional model and a variant of the SIR model was built. This model can reflect the dynamic change of network. At the same time, a dynamic analysis of the model was conducted. Then, epidemic spreading model simulations are conducted with different parameters in ER random networks. The results show that epidemic spreads faster and more broadly in network when the smaller the parameter c, the larger parameter q. That is, epidemic often spread faster and more broadly when people take protection measures slowly and moving speed of people is slow.
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Acknowledgements
This research was supported by project of Education Department in Sichan province (Grant No. 15ZB0295). We appreciated all support in finance and in spirit.
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Zhang, Y. (2018). An Epidemic Spreading Model Based on Dynamical Network. In: Xu, J., Gen, M., Hajiyev, A., Cooke, F. (eds) Proceedings of the Eleventh International Conference on Management Science and Engineering Management. ICMSEM 2017. Lecture Notes on Multidisciplinary Industrial Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-59280-0_71
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DOI: https://doi.org/10.1007/978-3-319-59280-0_71
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