Annealed and Mean-Field formulations of Disease Dynamics on Static and Adaptive Networks

Details Annealed and Mean-Field formulations of Disease Dynamics on Static and Adaptive Networks Annealed and Mean-Field formulations of Disease Dynamics on Static and Adaptive Networks

2010-02-23

arxiv.org/abs/1002.4410v2

Phys. Rev. E 82, 035101 (2010)

Physics

Physics and Society

5 pages, 3 Figures. Final version published in Physical Review E (Rapid Comm.)

Scientific paper

10.1103/PhysRevE.82.035101

We use the annealed formulation of complex networks to study the dynamical behavior of disease spreading on both static and adaptive networked systems. This unifying approach relies on the annealed adjacency matrix, representing one network ensemble, and allows to solve the dynamical evolution of the whole network ensemble all at once. Our results accurately reproduce those obtained by extensive numerical simulations showing a large improvement with respect to the usual heterogeneous mean-field formulation. Moreover, by means of the annealed formulation we derive a new heterogeneous mean-field formulation that correctly reproduces the epidemic dynamics.

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