Complex dynamics of a SIRS epidemic model with the influence of hospital bed number
DOI10.3934/dcdsb.2021016zbMath1483.34071OpenAlexW3118645538MaRDI QIDQ2056194
Zirui Zhu, Xiaoyu Jiang, Lijun Wei, Yan Cong Xu
Publication date: 1 December 2021
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.2021016
Hopf bifurcationBogdanov-Takens bifurcationnonlinear incidence ratenonlinear recovery rateSIRS epidemic model
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)
Related Items (3)
Uses Software
Cites Work
- Unnamed Item
- Analysis of SIR epidemic models with nonlinear incidence rate and treatment
- Bifurcations of an SIRS epidemic model with nonlinear incidence rate
- Stationary distributions of a stochastic SIR model with saturated incidence and its asymptotic stability
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological models
- Dynamical behavior of epidemiological models with nonlinear incidence rates
- A generalization of the Kermack-McKendrick deterministic epidemic model
- Analysis of a delayed vaccinated SIR epidemic model with temporary immunity and Lévy jumps
- Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
- Dynamical behavior of an epidemic model with a nonlinear incidence rate
- Modeling and analysis of recurrent autoimmune disease
- Global stability of an SIR model with differential infectivity on complex networks
- Stability and bifurcation analysis of a SIR model with saturated incidence rate and saturated treatment
- Bifurcation analysis of an SIRS epidemic model with a generalized nonmonotone and saturated incidence rate
- 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
- Global dynamics of a susceptible-infectious-recovered epidemic model with a generalized nonmonotone incidence rate
- Coexistence of Limit Cycles and Homoclinic Loops in a SIRS Model with a Nonlinear Incidence Rate
- Snakes and isolas in non-reversible conservative systems
- Introduction to Applied Nonlinear Dynamical Systems and Chaos
- GLOBAL ASYMPTOTIC STABILITY OF A GENERALIZED SIRS EPIDEMIC MODEL WITH TRANSFER FROM INFECTIOUS TO SUSCEPTIBLE
This page was built for publication: Complex dynamics of a SIRS epidemic model with the influence of hospital bed number