Global dynamics and bifurcations in a SIRS epidemic model with a nonmonotone incidence rate and a piecewise-smooth treatment rate
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Publication:2090311
DOI10.3934/dcdsb.2021195OpenAlexW3190599174MaRDI QIDQ2090311
Qin Pan, Qihua Huang, Ji-Cai Huang
Publication date: 25 October 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.2021195
global stabilityHopf bifurcationBogdanov-Takens bifurcationSIRS epidemic modelnonmonotone incidence ratepiecewise-smooth treatment
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Cites Work
- Unnamed Item
- Unnamed Item
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- Bifurcation analysis of an SIS epidemic model with saturated incidence rate and saturated treatment function
- Dynamics of an epidemic model with quadratic treatment
- The ergodicity and extinction of stochastically perturbed SIR and SEIR epidemic models with saturated incidence
- Some epidemiological models with nonlinear incidence
- Backward bifurcation of an epidemic model with saturated treatment function
- Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological models
- Dynamical behavior of epidemiological models with nonlinear incidence rates
- Versal deformation of a singular point of a vector field on the plane in the case of zero eigenvalues
- A generalization of the Kermack-McKendrick deterministic epidemic model
- Bifurcations in an epidemic model with constant removal rate of the infectives
- Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
- Stability analysis of an SEIQV epidemic model with saturated incidence rate
- Multiparametric bifurcations for a model in epidemiology
- Global analysis of an epidemic model with nonmonotone incidence rate
- Bifurcation analysis of an SIRS epidemic model with a generalized nonmonotone and saturated incidence rate
- 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
- Bifurcations of a Leslie‐Gower prey‐predator system with ratio‐dependent Holling IV functional response and prey harvesting
- Bifurcation Analysis of an SIRS Epidemic Model with Generalized Incidence
- Elements of applied bifurcation theory