DIMACS TR: 2004-13
Pair Approximation of the stochastic
susceptible-infected-recovered-susceptible epidemic model
on the hypercubic lattice
Authors: Jaewook Joo and Joel L. Lebowitz
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 momen
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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