A Viral Infection Model with a Nonlinear Infection Rate

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dc.contributor.affiliationUniversidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimizacióngl
dc.contributor.affiliationUniversidade de Santiago de Compostela. Departamento de Psiquiatría, Radioloxía, Saúde Pública, Enfermaría e Medicinagl
dc.contributor.authorYu, Yumei
dc.contributor.authorNieto Roig, Juan José
dc.contributor.authorTorres Iglesias, Ángela J.
dc.contributor.authorWang, Kaifa
dc.date.accessioned2020-06-06T10:09:24Z
dc.date.available2020-06-06T10:09:24Z
dc.date.issued2009
dc.description.abstractA viral infection model with a nonlinear infection rate is constructed based on empirical evidences. Qualitative analysis shows that there is a degenerate singular infection equilibrium. Furthermore, bifurcation of cusp-type with codimension two (i.e., Bogdanov-Takens bifurcation) is confirmed under appropriate conditions. As a result, the rich dynamical behaviors indicate that the model can display an Allee effect and fluctuation effect, which are important for making strategies for controlling the invasion of virus.gl
dc.description.peerreviewedSIgl
dc.description.sponsorshipThis work is supported by the National Natural Science Fund of China nos. 30770555 and 10571143, the Natural Science Foundation Project of CQ CSTC 2007BB5012, and the Science Fund of Third Military Medical University 06XG001gl
dc.identifier.citationYu, Y., Nieto, J., Torres, A., & Wang, K. (2009). A viral infection model with a nonlinear infection rate. Boundary Value Problems, 2009(1), 958016.gl
dc.identifier.doi10.1155/2009/958016
dc.identifier.issn1687-2770
dc.identifier.urihttp://hdl.handle.net/10347/22842
dc.language.isoenggl
dc.publisherSpringerOpengl
dc.relation.publisherversionhttps://doi.org/10.1155/2009/958016gl
dc.rightsCopyright © 2009 Yumei Yu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly citedgl
dc.rights.accessRightsopen accessgl
dc.rights.urihttp://creativecommons.org/licenses/by/2.0
dc.subjectBasic Reproduction Numbergl
dc.subjectHomoclinic Bifurcationgl
dc.subjectInfection Equilibriumgl
dc.subjectViral Infection Modelgl
dc.subjectDegenerate Singular Pointgl
dc.titleA Viral Infection Model with a Nonlinear Infection Rategl
dc.typejournal articlegl
dc.type.hasVersionVoRgl
dspace.entity.typePublication
relation.isAuthorOfPublication85e127ae-7ec7-48e4-bb4a-8eb83882ea26
relation.isAuthorOfPublicationc2867454-6e2c-4ec6-bc8b-7f320ab26e91
relation.isAuthorOfPublication.latestForDiscovery85e127ae-7ec7-48e4-bb4a-8eb83882ea26

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