Show simple item record

dc.contributor.authorKribs, Christopher
dc.date.accessioned2016-05-26T17:02:43Z
dc.date.available2016-05-26T17:02:43Z
dc.date.issued2006
dc.identifier.citationPublished in the Mathematic Population Studies 13(3):135-152, July 2006en_US
dc.identifier.issn0889-8480
dc.identifier.urihttp://hdl.handle.net/10106/25679
dc.descriptionAuthor's final draft after peer review, also known as a post print.en_US
dc.description.abstractRecent research in the transmission of the protozoan parasite Trypanosoma cruzi, some strains of which cause Chagas’ disease, suggests that consumption of vectors by sylvatic hosts such as raccoons may play a role in maintaining the transmission cycle in the wild. As both hosts and vectors have been observed to invade new ecological niches, it is important to consider the effect vector consumption may have on vector density. For this reason a per individual contact rate is employed which rises roughly linearly for low vector densities and saturates for high densities. The model under study thus superimposes a predator-prey structure on a host-vector infection cycle (with first one, and then multiple, hosts). Outbreak behavior follows classical threshold behavior through the reproductive number R0, which allows evaluation of the importance of this transmission avenue relative to the traditional route. For sufficiently sharp contact rate saturation, two locally stable vector densities may exist.en_US
dc.description.sponsorshipThe author acknowledges the support of a 2003 Fulbright Scholarship as well as a grant from the Fondo Ram on A ´ lvarez-Buylla at the Universidad de Colima.en_US
dc.language.isoen_USen_US
dc.publisherTaylor & Francisen_US
dc.subjectChargas' diseaseen_US
dc.subjectContact rate saturationen_US
dc.subjectPredator-preyen_US
dc.subjectVector consumptionen_US
dc.titleVector consumption and contact process saturation in sylvatic transmission of T. cruzien_US
dc.typeArticleen_US
dc.publisher.departmentDepartment of Mathematics, University of Texas at Arlington; Universidad de Colima, Mexico
dc.identifier.externalLinkDescriptionThe original publication is available at Article DOI
dc.identifier.doiDOI: 10.1080/08898480600788576


Files in this item

Thumbnail


This item appears in the following Collection(s)

Show simple item record