Stability and bifurcation analysis of \(SIQR\) for the COVID-19 epidemic model with time delay

DOI10.3934/mbe.2021278zbMath1501.92201OpenAlexW3177220046MaRDI QIDQ2092011

Silin Gong, Yuting Ding, Shishi Wang, Hongfan Lu

Publication date: 2 November 2022

Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mbe.2021278

zbMATH Keywords

stabilitytime delaybifurcationlatency

Mathematics Subject Classification ID

Epidemiology (92D30) Bifurcation theory for ordinary differential equations (34C23) Stability of solutions to ordinary differential equations (34D20)

Related Items (2)

A delayed deterministic and stochastic \(S I_R I_C V\) model: Hopf bifurcation and stochastic analysis ⋮ Reactive-diffusion epidemic model on human mobility networks: analysis and applications to COVID-19 in China

Cites Work

• Hopf-zero bifurcation in a generalized Gopalsamy neural network model
• Global dynamics of an SEIS epidemic model with saturation incidence and latent period
• Global dynamics and bifurcation in delayed SIR epidemic model
• Stability and bifurcation of an SIR epidemic model with nonlinear incidence and treatment
• Subharmonic bifurcation in an S-I-R epidemic model
• Bifurcation analysis of periodic SEIR and SIR epidemic models
• Hopf bifurcation in epidemic models with a latent period and nonpermanent immunity
• Stability and bifurcation analysis of an SIR epidemic model with logistic growth and saturated treatment
• The analysis of an epidemic model with time delay on scale-free networks
• Effect of time delay on pattern dynamics in a spatial epidemic model
• Qualitative and bifurcation analysis using an SIR model with a saturated treatment function
• Mathematical modeling and dynamic analysis of SIQR model with delay for pandemic COVID-19
• Stability and extinction of SEIR epidemic models with generalized nonlinear incidence
• Inversion of a SIR-based model: a critical analysis about the application to COVID-19 epidemic
• An SEIARD epidemic model for COVID-19 in Mexico: mathematical analysis and state-level forecast
• Global stability of endemic equilibrium for a SIQRS epidemic model on complex networks
• Stability of the SNIS epidemic spreading model with contagious incubation period over heterogeneous networks
• Dynamics for an SEIRS epidemic model with time delay on a scale-free network
• Stability analysis and control strategies for a new SIS epidemic model in heterogeneous networks
• Stability and bifurcation analysis in a discrete SIR epidemic model
• Stability and bifurcation analysis in a delayed SIR model
• Nonautonomous bifurcation scenarios in SIR models

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