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dc.contributor.authorNakata, Y.
dc.contributor.authorEnatsu, Y.
dc.contributor.authorMuroya, Y.
dc.date.accessioned2017-02-21T08:16:49Z
dc.date.available2017-02-21T08:16:49Z
dc.date.issued2012-12-31
dc.identifier.issn1793-5245
dc.identifier.urihttp://hdl.handle.net/20.500.11824/422
dc.description.abstractWe study global asymptotic stability for an SIS epidemic model with maturation delay proposed by K. Cooke, P. van den Driessche and X. Zou, Interaction of maturation delay and nonlinear birth in population and epidemic models, J. Math. Biol. 39(4) (1999) 332352. It is assumed that the population has a nonlinear birth term and disease causes death of infective individuals. By using a monotone iterative method, we establish sufficient conditions for the global stability of an endemic equilibrium when it exists dependently on the monotone property of the birth rate function. Based on the analysis, we further study the model with two specific birth rate functions B 1(N) = be -aN and B 3(N) = A/N + c, where N denotes the total population. For each model, we obtain the disease induced death rate which guarantees the global stability of the endemic equilibrium and this gives a positive answer for an open problem by X. Q. Zhao and X. Zou, Threshold dynamics in a delayed SIS epidemic model, J. Math. Anal. Appl. 257(2) (2001) 282291.
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dc.language.isoengen_US
dc.rightsReconocimiento-NoComercial-CompartirIgual 3.0 Españaen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.subjectdisease induced death rate
dc.subjectglobal asymptotic stability
dc.subjectnonlinear birth rate function
dc.subjectpermanence
dc.subjectSIS epidemic models
dc.subjectthe basic reproduction number
dc.titleTwo types of condition for the global stability of delayed sis epidemic models with nonlinear birth rate and disease induced death rate
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.doi10.1142/S1793524511001507
dc.relation.publisherversionhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-84857579391&doi=10.1142%2fS1793524511001507&partnerID=40&md5=db692ce073476d756ea5cfe9e10b7730
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersionen_US
dc.journal.titleInternational Journal of Biomathematicsen_US


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