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Oscillations and waves in a virally infected plankton system. Part II. Transition from Lysogeny to Lysis.

dc.contributor.authorMALCHOW, H.
dc.contributor.authorHILKER, F.M.
hal.structure.identifierTools of automatic control for scientific computing, Models and Methods in Biomathematics [ANUBIS]
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorLANGLAIS, Michel
dc.contributor.authorPETROVSKII, S.
dc.date.accessioned2024-04-04T03:03:12Z
dc.date.available2024-04-04T03:03:12Z
dc.date.issued2006
dc.identifier.issn1476-945X
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/193050
dc.description.abstractEnA model of phytoplankton–zooplankton prey–predator dynamics is considered for the case of viral infection of the phytoplankton population. The phytoplankton population is split into a susceptible (S) and an infected (I) part. Both parts grow logistically, limited by a common carrying capacity. Zooplankton (Z) as a Holling-type II predator is grazing on susceptibles and infected. The local and spatial analyses of the S–I–Z model with lysogenic infection have been presented in a previous paper (Malchow et al., 2004b. Oscillations and waves in a virally infected plankton system: Part I: The lysogenic stage. Ecol. Complexity 1 (3), 211–223). This lysogenic stage is rather sensitive to environmental variability. Therefore, the effect of a transition from lysogeny to lysis is investigated here. The replication rate of the infected species instantaneously falls to zero. A deterministic and a more realistic stochastic scenario are described. The spatiotemporal behaviour, modelled by deterministic and stochastic reaction-diffusion equations, is numerically determined. It is shown that the extinction risk of the infected is rather high in the deterministic system, whereas the environmental noise enhances their chance of spatial spread and survival.
dc.language.isoen
dc.publisherElsevier
dc.subject.enPlankton Viral infections Lysogeny and lysis Stochastic reaction-diffusion system Noise-enhanced spatial spread and survival Spatiotemporal structures
dc.title.enOscillations and waves in a virally infected plankton system. Part II. Transition from Lysogeny to Lysis.
dc.typeArticle de revue
dc.identifier.doi10.1016/j.ecocom.2004.03.002
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
bordeaux.journalEcological Complexity
bordeaux.page200-208
bordeaux.volume3
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-00195447
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00195447v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Ecological%20Complexity&rft.date=2006&rft.volume=3&rft.spage=200-208&rft.epage=200-208&rft.eissn=1476-945X&rft.issn=1476-945X&rft.au=MALCHOW,%20H.&HILKER,%20F.M.&LANGLAIS,%20Michel&PETROVSKII,%20S.&rft.genre=article


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