Epidemic spreading in a variety of scale free networks

Volchenkov D, Volchenkova L, Blanchard P (2002)
PHYSICAL REVIEW E 66(4): 6137-6146.

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Abstract
We have shown that the epidemic spreading in scale-free networks is very sensitive to the statistics of degree distribution characterized by the index gamma, the effective spreading rate lambda, the social strategy used by individuals to choose a partner, and the policy of administrating a cure to an infected node. Depending on the interplay of these four factors, the stationary fractions of infected population F-gamma as well as the epidemic threshold properties can be essentially different. We have given an example of the evolutionary scale-free network which is disposed to the spreading and the persistence of infections at any spreading rate lambda>0 for any gamma. Probably, it is impossible to obtain a simple immunization program that can be simultaneously effective for all types of scale-free networks. We have also studied the dynamical solutions for the evolution equation governed by the epidemic spreading in scale-free networks and found that for the case of vanishingly small cure rate delta<<1 the initial configuration of infected nodes would feature the solution for very long times.
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Volchenkov D, Volchenkova L, Blanchard P. Epidemic spreading in a variety of scale free networks. PHYSICAL REVIEW E. 2002;66(4):6137-6146.
Volchenkov, D., Volchenkova, L., & Blanchard, P. (2002). Epidemic spreading in a variety of scale free networks. PHYSICAL REVIEW E, 66(4), 6137-6146.
Volchenkov, D., Volchenkova, L., and Blanchard, P. (2002). Epidemic spreading in a variety of scale free networks. PHYSICAL REVIEW E 66, 6137-6146.
Volchenkov, D., Volchenkova, L., & Blanchard, P., 2002. Epidemic spreading in a variety of scale free networks. PHYSICAL REVIEW E, 66(4), p 6137-6146.
D. Volchenkov, L. Volchenkova, and P. Blanchard, “Epidemic spreading in a variety of scale free networks”, PHYSICAL REVIEW E, vol. 66, 2002, pp. 6137-6146.
Volchenkov, D., Volchenkova, L., Blanchard, P.: Epidemic spreading in a variety of scale free networks. PHYSICAL REVIEW E. 66, 6137-6146 (2002).
Volchenkov, Dimitry, Volchenkova, L, and Blanchard, Philippe. “Epidemic spreading in a variety of scale free networks”. PHYSICAL REVIEW E 66.4 (2002): 6137-6146.
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