Static and dynamic epidemia on chains and trees with two- and three-dimensional loops
(1998) Physical review. E, Statistical physics, plasmas,fluids and related interdisciplinary topics — Vol. 57, n° 4, p. 4827-4830 (1998)
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- Abstract
- The dynamic epidemic model considers the expansion of a cluster in a medium containing a fraction x of mobile particles that are pushed by a propagation front. This model is exactly solved here on two- and three-dimensional chains and a Bethe tree, which are all decorated with consecutive either hexagon or tetrahedron loops. The exact values for the percolation threshold x(c) and the critical exponents are calculated and compared to the static hindrance cases. The fraction of site candidates for particle trapping on a tree is the relevant parameter for the threshold value of such dynamic epidemics in high dimensions.
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Ivanova, K. (1998). Static and dynamic epidemia on chains and trees with two- and three-dimensional loops. Physical review. E, Statistical physics, plasmas,fluids and related interdisciplinary topics, 57(4), 4827-4830. https://doi.org/10.1103/PhysRevE.57.4827 (Original work published 1998)