Publication
On the series expansion of the spatial SIS evolution operator
| dc.contributor.author | Martins, José | |
| dc.contributor.author | Aguiar, Maíra | |
| dc.contributor.author | Pinto, Alberto | |
| dc.contributor.author | Stollenwerk, Nico | |
| dc.date.accessioned | 2025-12-03T15:15:22Z | |
| dc.date.available | 2025-12-03T15:15:22Z | |
| dc.date.issued | 2011-07 | |
| dc.description.abstract | 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. | eng |
| dc.description.sponsorship | We thank Calouste Gulbenkian Foundation, FEDER, Programs POCTI and POCI by FCT and Ministério da Ciência, Tecnologia e Ensino Superior and Centro de Matemática da Universidade do Minho and Centro de Matemática e Aplicações Fundamentais da Universidade de Lisboa for their financial support. Jose´ Martins and Maíra Aguiar also acknowledge the financial support from the FCT grants with references SFRW/BD/37433/2007 and SFRH/BD/43236/2008, respectively. | |
| dc.identifier.citation | Martins, J., Aguiar, M., Pinto, A., & Stollenwerk, N. (2011). On the series expansion of the spatial SIS evolution operator. Journal of Difference Equations and Applications, 17(7), 1107–1118. https://doi.org/10.1080/10236190903153884 | |
| dc.identifier.doi | 10.1080/10236190903153884 | |
| dc.identifier.issn | 1023-6198 | |
| dc.identifier.issn | 1563-5120 | |
| dc.identifier.uri | http://hdl.handle.net/10400.8/14823 | |
| dc.language.iso | eng | |
| dc.peerreviewed | yes | |
| dc.publisher | Informa UK Limited | |
| dc.relation.hasversion | https://www.tandfonline.com/doi/full/10.1080/10236190903153884 | |
| dc.relation.ispartof | Journal of Difference Equations and Applications | |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | |
| dc.subject | SIS model | |
| dc.subject | contact process | |
| dc.subject | evolution operator | |
| dc.subject | series expansion | |
| dc.subject | critical threshold | |
| dc.title | On the series expansion of the spatial SIS evolution operator | eng |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.citation.endPage | 1118 | |
| oaire.citation.issue | 7 | |
| oaire.citation.startPage | 1107 | |
| oaire.citation.title | Journal of Difference Equations and Applications | |
| oaire.citation.volume | 17 | |
| oaire.version | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |
| person.familyName | Martins | |
| person.givenName | José | |
| person.identifier.ciencia-id | FA1B-6241-A508 | |
| person.identifier.orcid | 0000-0003-0524-420X | |
| relation.isAuthorOfPublication | ee7ebb36-8413-4cb4-93d9-6fb158c0d605 | |
| relation.isAuthorOfPublication.latestForDiscovery | ee7ebb36-8413-4cb4-93d9-6fb158c0d605 |