Backward bifurcation of an epidemic model with infectious force in infected and immune period and treatment

DOI10.1155/2012/647853zbMath1278.92044OpenAlexW2032036168WikidataQ58695790 ScholiaQ58695790MaRDI QIDQ448761

Yakui Xue, Jun-Feng Wang

Publication date: 7 September 2012

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/647853

zbMATH Keywords

stabilityepidemic modelbackward bifurcation

Mathematics Subject Classification ID

Epidemiology (92D30) Bifurcation theory of functional-differential equations (34K18)

Related Items (6)

On the role of optimization in the cancer treatment by radiation therapy (RT) ⋮ Global dynamics of an SEIR epidemic model with discontinuous treatment ⋮ Global stability of a SEIR epidemic model with infectious force in latent period and infected period under discontinuous treatment strategy ⋮ Backward bifurcation of an epidemiological model with saturated incidence, isolation and treatment functions ⋮ Stability and Hopf bifurcation for a delayed SIR epidemic model with logistic growth ⋮ Backward bifurcations in fractional-order vaccination models

Cites Work

• Unnamed Item
• Backward bifurcation and global dynamics of an SIS epidemic model with general incidence rate and treatment
• Backward bifurcation of an epidemic model with saturated treatment function
• Backward bifurcation of an epidemic model with standard incidence rate and treatment rate
• Stability and bifurcation of an SIR epidemic model with nonlinear incidence and treatment
• Bifurcation analysis of periodic SEIR and SIR epidemic models
• Backward bifurcation in epidemic control
• Backwards bifurcations and catastrophe in simple models of fatal diseases
• Bifurcations in an epidemic model with constant removal rate of the infectives
• A simple SIS epidemic model with a backward bifurcation
• Global stability of an SEI epidemic model with general contact rate
• Dynamical behavior of an epidemic model with a nonlinear incidence rate
• Global stability of an SEI epidemic model
• Global stability of a SEIR epidemic model with infectious force in latent, infected and immune period
• Backward bifurcation of an epidemic model with treatment
• Global Results for an Epidemic Model with Vaccination that Exhibits Backward Bifurcation

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