Phase diagrams and correlation inequalities of a three-state stochastic epidemic model on the square lattice

Kazumichi Ohtsuka; Norio Konno; Naoki Masuda; Kazuyuki Aihara

doi:10.1142/S0218127406017075

Phase diagrams and correlation inequalities of a three-state stochastic epidemic model on the square lattice

Kazumichi Ohtsuka
, Norio Konno
, Naoki Masuda
, Kazuyuki Aihara

Mathematics

Japan Science and Technology Agency
The University of Tokyo
Yokohama National University

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

We study a three-state stochastic particle system on the square lattice, which extends the contact process. The phase diagram is analyzed by the mean-field approximation, the pair approximation, and numerics. The pair approximation turns out to be better than the meanfield ansatz. We also show that the Harris-FKG type correlation inequalities approximately hold in the present model.

Original language	English
Pages (from-to)	3687-3693
Number of pages	7
Journal	International Journal of Bifurcation and Chaos
Volume	16
Issue number	12
DOIs	https://doi.org/10.1142/S0218127406017075
State	Published - Dec 2006

Keywords

Correlation inequality
Interacting particle system
Pair approximation
Phase diagram

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10.1142/S0218127406017075

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title = "Phase diagrams and correlation inequalities of a three-state stochastic epidemic model on the square lattice",

abstract = "We study a three-state stochastic particle system on the square lattice, which extends the contact process. The phase diagram is analyzed by the mean-field approximation, the pair approximation, and numerics. The pair approximation turns out to be better than the meanfield ansatz. We also show that the Harris-FKG type correlation inequalities approximately hold in the present model.",

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AU - Ohtsuka, Kazumichi

AU - Konno, Norio

AU - Masuda, Naoki

AU - Aihara, Kazuyuki

PY - 2006/12

Y1 - 2006/12

N2 - We study a three-state stochastic particle system on the square lattice, which extends the contact process. The phase diagram is analyzed by the mean-field approximation, the pair approximation, and numerics. The pair approximation turns out to be better than the meanfield ansatz. We also show that the Harris-FKG type correlation inequalities approximately hold in the present model.

AB - We study a three-state stochastic particle system on the square lattice, which extends the contact process. The phase diagram is analyzed by the mean-field approximation, the pair approximation, and numerics. The pair approximation turns out to be better than the meanfield ansatz. We also show that the Harris-FKG type correlation inequalities approximately hold in the present model.

KW - Correlation inequality

KW - Interacting particle system

KW - Pair approximation

KW - Phase diagram

UR - https://www.scopus.com/pages/publications/33847276626

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DO - 10.1142/S0218127406017075

M3 - Article

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EP - 3693

JO - International Journal of Bifurcation and Chaos

JF - International Journal of Bifurcation and Chaos

IS - 12

ER -

Phase diagrams and correlation inequalities of a three-state stochastic epidemic model on the square lattice

Abstract

Keywords

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