dorsal/arxiv
View SchemaPair approximation of the stochastic susceptible-infected-recovered-susceptible epidemic model on the hypercubic lattice
| Authors | Jaewook Joo, Joel L. Lebowitz |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0404035 |
| URL | https://arxiv.org/abs/q-bio/0404035 |
| DOI | 10.1103/PhysRevE.70.036114 |
| Journal | Phys. Rev. E, 70 (2004) 036114 |
Abstract
We investigate the time-evolution and steady states of the stochastic susceptible-infected-recovered-susceptible(SIRS) epidemic model on one- and two- dimensional lattices. We compare the behavior of this system, obtained from computer simulations, with those obtained from the mean-field approximation(MFA) and pair-approximation(PA). The former(latter) approximates higher order moments in terms of first(second) order ones. We find that the PA gives consistently better results than the MFA. In one dimension the improvement is even qualitative.
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"abstract": "We investigate the time-evolution and steady states of the stochastic\nsusceptible-infected-recovered-susceptible(SIRS) epidemic model on one- and\ntwo- dimensional lattices. We compare the behavior of this system, obtained\nfrom computer simulations, with those obtained from the mean-field\napproximation(MFA) and pair-approximation(PA). The former(latter) approximates\nhigher order moments in terms of first(second) order ones. We find that the PA\ngives consistently better results than the MFA. In one dimension the\nimprovement is even qualitative.",
"arxiv_id": "q-bio/0404035",
"authors": [
"Jaewook Joo",
"Joel L. Lebowitz"
],
"categories": [
"q-bio.PE",
"cond-mat.stat-mech"
],
"doi": "10.1103/PhysRevE.70.036114",
"journal_ref": "Phys. Rev. E, 70 (2004) 036114",
"title": "Pair approximation of the stochastic susceptible-infected-recovered-susceptible epidemic model on the hypercubic lattice",
"url": "https://arxiv.org/abs/q-bio/0404035"
},
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