A delayed SIR model with general nonlinear incidence rate

DOI10.1186/s13662-015-0619-zzbMath1422.92153OpenAlexW2118563838WikidataQ59436572 ScholiaQ59436572MaRDI QIDQ1622766

Luju Liu

Publication date: 19 November 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-015-0619-z

zbMATH Keywords

asymptotic stabilityHopf bifurcationgeneral nonlinear incidence ratedelayed SIR model

Mathematics Subject Classification ID

Epidemiology (92D30) Population dynamics (general) (92D25) Stability theory of functional-differential equations (34K20) Global stability of solutions to ordinary differential equations (34D23) Qualitative investigation and simulation of models involving functional-differential equations (34K60)

Related Items (9)

Bifurcation of a delayed SEIS epidemic model with a changing delitescence and nonlinear incidence rate ⋮ Delay differential equations for the spatially resolved simulation of epidemics with specific application to COVID‐19 ⋮ Modeling the transmission dynamics of a time-delayed epidemic model with saturated treatment rate ⋮ Complex dynamics of a discrete-time SIR model with nonlinear incidence and recovery rates ⋮ Dynamics of a time-delayed SIR epidemic model with logistic growth and saturated treatment ⋮ Dynamics of an SIR epidemic model with stage structure and pulse vaccination ⋮ Stability analysis for a delayed SIR model with a nonlinear incidence rate ⋮ Analysis of a SIR model with pulse vaccination and temporary immunity: stability, bifurcation and a cylindrical attractor ⋮ Hopf bifurcation and stability switches in an infectious disease model with incubation delay, information, and saturated treatment

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