The threshold value of the number of hospital beds in a SEIHR epidemic model
DOI10.3934/dcdsb.2022129OpenAlexW4285183165MaRDI QIDQ2093476
Yuanyuan Yu, Hui Wan, Huai-Ping Zhu
Publication date: 8 November 2022
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdsb.2022129
center manifold theoremBogdanov-Takens bifurcationbackward bifurcationCOVID-19threshold value of hospital beds
Epidemiology (92D30) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)
Cites Work
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- Modeling and dynamics analysis of Zika transmission with limited medical resources
- Backward bifurcation of an epidemic model with saturated treatment function
- Bifurcations in an epidemic model with constant removal rate of the infectives
- A compartmental model for the analysis of SARS transmission patterns and outbreak control measures in China
- Global stability for the SEIR model in epidemiology
- Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
- Rich dynamics of an epidemic model with saturation recovery
- Bifurcations and complex dynamics of an SIR model with the impact of the number of hospital beds
- Backward bifurcation of an epidemic model with treatment
- Nilpotent singularities and dynamics in an SIR type of compartmental model with hospital resources
- The impact of hospital resources and environmental perturbations to the dynamics of SIRS model
- Contributions to the mathematical theory of epidemics. II. —The problem of endemicity
- Elements of applied bifurcation theory
