Stability and bifurcation analysis of a SIR model with saturated incidence rate and saturated treatment

dc.creatorERIKA FABIOLA RIVERO ESQUIVEL
dc.creatorERIC JOSE AVILA VALES
dc.creatorGERARDO EMILIO GARCIA ALMEIDA
dc.date2016-03-31
dc.date.accessioned2023-07-25T13:49:20Z
dc.date.available2023-07-25T13:49:20Z
dc.identifierhttp://redi.uady.mx:8080/handle/123456789/543
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/7794166
dc.descriptionWe study the dynamics of a SIR epidemic model with nonlinear incidence rate, vertical transmission vaccination for the newborns and the capacity of treatment, that takes into account the limitedness of the medical resources and the efficiency of the supply of available medical resources. Under some conditions we prove the existence of backward bifurcation, the stability and the direction of Hopf bifurcation. We also explore how the mechanism of backward bifurcation affects the control of the infectious disease. Numerical simulations are presented to illustrate the theoretical findings.
dc.formatapplication/pdf
dc.languageeng
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rightshttp://creativecommons.org/licenses/by-nc-nd/4.0
dc.sourceurn:issn:0378-4754
dc.subjectinfo:eu-repo/classification/cti/1
dc.subjectLocal stability
dc.subjectHopf bifurcation
dc.subjectGlobal stability
dc.subjectBackward bifurcation
dc.titleStability and bifurcation analysis of a SIR model with saturated incidence rate and saturated treatment
dc.typeinfo:eu-repo/semantics/article
dc.coverageGeneración de conocimiento
dc.audienceresearchers


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