Qualitative analysis and traveling wave solutions for the SI model with vertical transmission
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | DUCROT, Arnaud | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | LANGLAIS, Michel | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | MAGAL, Pierre | |
| dc.date.accessioned | 2024-04-04T02:25:01Z | |
| dc.date.available | 2024-04-04T02:25:01Z | |
| dc.date.issued | 2011-09 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189854 | |
| dc.description.abstractEn | In this note we analyze a spatially structured SI epidemic model with vertical transmission, a logistic effect on vital dynamics and a density dependent incidence. For a bounded spatial domain we show global stability of the endemic state when it is feasible. Then we look at the existence of travelling wave solutions connecting the endemic and the disease free states. | |
| dc.language.iso | en | |
| dc.subject.en | Spatially structured SI model | |
| dc.subject.en | global stability | |
| dc.subject.en | travelling wave solutions | |
| dc.title.en | Qualitative analysis and traveling wave solutions for the SI model with vertical transmission | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.3934/cpaa.2012.11.97 | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| bordeaux.journal | Communications in Pure and Applied Analysis | |
| bordeaux.page | 97-113 | |
| bordeaux.volume | 11 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 1 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00706949 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00706949v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Communications%20in%20Pure%20and%20Applied%20Analysis&rft.date=2011-09&rft.volume=11&rft.issue=1&rft.spage=97-113&rft.epage=97-113&rft.au=DUCROT,%20Arnaud&LANGLAIS,%20Michel&MAGAL,%20Pierre&rft.genre=article |
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