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A simplified model system for Toxoplasma gondii spread within a heterogeneous environment

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
hal.structure.identifierTools of automatic control for scientific computing, Models and Methods in Biomathematics [ANUBIS]
dc.contributor.authorLANGLAIS, Michel
hal.structure.identifierLaboratoire de Biométrie et Biologie Evolutive - UMR 5558 [LBBE]
dc.contributor.authorLÉLU, Maud
hal.structure.identifierLaboratoire de Biométrie et Biologie Evolutive - UMR 5558 [LBBE]
dc.contributor.authorAVENET, Cecile
hal.structure.identifierBiodémographie évolutive [LBBE]
hal.structure.identifierVetAgro Sup - Institut national d'enseignement supérieur et de recherche en alimentation, santé animale, sciences agronomiques et de l'environnement [VAS]
dc.contributor.authorGILOT-FROMONT, Emmanuelle
dc.date.accessioned2024-04-04T02:17:49Z
dc.date.available2024-04-04T02:17:49Z
dc.date.created2011
dc.date.issued2012
dc.identifier.issn0924-090X
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/189264
dc.description.abstractEnThis study is dedicated to building and analyzing the spatial spread of Toxoplasma gondii through a heterogeneous predator‐prey system. The spatial domain is made of N patches hosting various population species, some of them being prey, others being predators. Predators offer strong heterogeneities with respect to local sustainable resources yielding variable growth rates, from exponential decay to logistic regulation. T. gondii life cycle goes through several stages, starting in the environment where oocysts are released from cat feces, reaching prey within which asexual reproduction yields cysts and then predators wherein sexual reproduction takes place. The resulting model system is complex to handle. We consider some relevant toy models with three patches, two resident predator species and Lotka‐Volterra functional responses to predation. We provide the existence and local stability of a persistent stationary state for the underlying predator‐prey model systems. The reproduction number R0 is computed in the quasi‐stationary case; it simplifies when slow‐fast dynamics are considered. Numerical experiments illustrate our analysis.
dc.language.isoen
dc.publisherSpringer Verlag
dc.subject.enToxoplasma gondii
dc.subject.enPredator-prey system
dc.subject.enFragmented domain
dc.subject.enParasite persistence
dc.subject.enR0
dc.subject.enSlow-fast dynamics
dc.title.enA simplified model system for Toxoplasma gondii spread within a heterogeneous environment
dc.typeArticle de revue
dc.identifier.doi10.1007/s11071-011-0255-4
dc.subject.halSciences du Vivant [q-bio]/Ecologie, Environnement
dc.subject.halSciences du Vivant [q-bio]/Santé publique et épidémiologie
bordeaux.journalNonlinear Dynamics
bordeaux.page381-399
bordeaux.volume68
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue3
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-00992632
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00992632v1
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