Pair approximation of the stochastic susceptible-infected-recovered-susceptible epidemic model on the hypercubic lattice

Details Pair approximation of the stochastic susceptible-infected-recovered-susceptible epidemic model on the hypercubic lattice Pair approximation of the stochastic susceptible-infected-recovered-susceptible epidemic model on the hypercubic lattice

2004-04-26

arxiv.org/abs/q-bio/0404035v1

Phys. Rev. E, 70 (2004) 036114

Biology

Quantitative Biology

Populations and Evolution

Scientific paper

10.1103/PhysRevE.70.036114

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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