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Exact solution of the dynamic epidemic model on the Bethe lattice by N. Vandewalle; M. Ausloos is a Physics and Astronomy article available to read on EtoBox.

What is Exact solution of the dynamic epidemic model on the Bethe lattice about?

The dynamic epidemic model considers the spreading of a cluster in a medium containing a fraction x of mobile particles which are pushed by the propagation front. This model is analytically studied on the Bethe lattice for any branching rate z. We give the exact solution Xc = (z 2 -1 )/z 2 for the percolation threshold. This is in contrast with the xc = (z-1)/z result for static particles. Moreover, we calculate the critical exponents 7 = 1 and v = 1 characterizing respectively the divergence of the cluster mass and the correlation length at xc. These exponents are found to be the same as for the case of static particles, i.e. for random percolation on the Bethe lattice.

Who reads Exact solution of the dynamic epidemic model on the Bethe lattice?

It is typically read by researchers, students, and practitioners in Physics and Astronomy.

Author
N. Vandewalle; M. Ausloos
Publisher
Elsevier Science; Elsevier ; Elsevier BV (ISSN 0378-4371)
Published
1996
Language
EN
Field
Physics and Astronomy (Physical Sciences)

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