Journal
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS
Volume 17, Issue 7, Pages 1107-1118Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/10236190903153884
Keywords
SIS model; contact process; evolution operator; series expansion; critical threshold
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Funding
- Calouste Gulbenkian Foundation
- FEDER
- FCT [SFRW/BD/37433/2007, SFRH/BD/43236/2008]
- Ministerio da Ciencia, Tecnologia e Ensino Superior
- Centro de Matematica da Universidade do Minho
- Centro de Matematica e Aplicacoes Fundamentais da Universidade de Lisboa
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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.
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