On the series expansion of the spatial SIS evolution operator

For the spatial stochastic susceptible-infected-susceptible model, we consider the perturbative series expansion of the gap between the dominant and subdominant eigenvalues of the evolution operator. We compute explicitly the first terms of the series expansion of the gap with difference equations f...

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Bibliographic Details
Main Author: J. Martins (author)
Other Authors: M. Aguiar (author), A. A. Pinto (author), N. Stollenwerk (author)
Format: article
Language:eng
Published: 2011
Subjects:
Online Access:https://hdl.handle.net/10216/97558
Country:Portugal
Oai:oai:repositorio-aberto.up.pt:10216/97558
Description
Summary:For the spatial stochastic susceptible-infected-susceptible model, we consider the perturbative series expansion of the gap between the dominant and subdominant eigenvalues of the evolution operator. We compute explicitly the first terms of the series expansion of the gap with difference equations for the calculation of states.