Backward bifurcation in simple SIS model

DOI10.1007/S10255-006-6160-9zbMath1189.34086OpenAlexW2151503487MaRDI QIDQ1036904

Zhanwei Wang

Publication date: 13 November 2009

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-006-6160-9

zbMATH Keywords

limit cycleepidemiologybistabilitybackward bifurcationSIS-model

Mathematics Subject Classification ID

Epidemiology (92D30) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Qualitative investigation and simulation of ordinary differential equation models (34C60) Medical epidemiology (92C60)

Related Items (4)

Stability and Bogdanov-Takens bifurcation of an SIS epidemic model with saturated treatment function ⋮ BIFURCATION ANALYSIS OF AN SIRS EPIDEMIC MODEL WITH STANDARD INCIDENCE RATE AND SATURATED TREATMENT FUNCTION ⋮ Bifurcation analysis of an SIS epidemic model with saturated incidence rate and saturated treatment function ⋮ Backward bifurcations in fractional-order vaccination models

Cites Work

• Unnamed Item
• Backward bifurcation in a model for HTLV-I infection of CD4\(^{+}\) T cells
• Global stability and periodicity of SIS epidemic models with backward bifurcation
• Asymptotically autonomous differential equations in the plane
• Backward bifurcation in epidemic control
• Backwards bifurcations and catastrophe in simple models of fatal diseases
• A simple vaccination model with multiple endemic states
• A simple SIS epidemic model with a backward bifurcation
• Backward bifurcations in simple vaccination models
• A core group model for disease transmission
• Backward bifurcation of an epidemic model with treatment

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