Abstract
In this paper, epidemic spread with the staged progression model on homogeneous and heterogeneous networks is studied. First, the epidemic threshold of the simple staged progression model is given. Then the staged progression model with birth and death is also considered. The case where infectivity is a nonlinear function of the nodes’ degree is discussed, too. Finally, the analytical results are verified by numerical simulations.
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This research was jointly supported by Hong Kong Polytechnic University Grant via a Council Competitive Earmarked Research Grant (CERG) under Grant No. PolyU 5279/08E, and by the National Natural Science Foundation of China under Grant Nos. 11005001 and 11072136, and the 211 Project of Anhui University under Grant No. 2009QN003A, KJTD002B, and was also supported by Shanghai Leading Academic Discipline Project under Grant No. S30104.
This paper was recommended for publication by Editor Jinhu LÜ.
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Zhang, H., Small, M. & Fu, X. Staged progression model for epidemic spread on homogeneous and heterogeneous networks. J Syst Sci Complex 24, 619–630 (2011). https://doi.org/10.1007/s11424-011-8252-8
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DOI: https://doi.org/10.1007/s11424-011-8252-8