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

DOI10.1016/j.matcom.2015.09.005OpenAlexW1874695530MaRDI QIDQ2228758

Erika Rivero-Esquivel, E. J. Avila-Vales, Gerardo E. García-Almeida

Publication date: 19 February 2021

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.06179

zbMATH Keywords

global stabilitylocal stabilityHopf bifurcationbackward bifurcation

Mathematics Subject Classification ID

Biology and other natural sciences (92-XX) Ordinary differential equations (34-XX)

Related Items (4)

Bifurcation thresholds and optimal control in transmission dynamics of arboviral diseases ⋮ Modeling the transmission dynamics of a time-delayed epidemic model with saturated treatment rate ⋮ Complex dynamics of a SIRS epidemic model with the influence of hospital bed number ⋮ Nonlinear dynamical behavior of an SEIR mathematical model: Effect of information and saturated treatment

Cites Work

• Unnamed Item
• Dynamics of an SIR epidemic model with limited medical resources revisited
• Analysis of SIR epidemic models with nonlinear incidence rate and treatment
• Qualitative analysis of a SIR epidemic model with saturated treatment rate
• Backward bifurcation of an epidemic model with saturated treatment function
• The theory of differential equations. Classical and qualitative
• Applications of centre manifold theory
• 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
• Backward bifurcations in simple vaccination models
• A core group model for disease transmission
• Rich dynamics of an epidemic model with saturation recovery

This page was built for publication: Stability and bifurcation analysis of a SIR model with saturated incidence rate and saturated treatment