Hopf bifurcation of a delay SIRS epidemic model with novel nonlinear incidence: Application to scarlet fever
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Publication:4961331
DOI10.1142/S1793524518500912zbMath1400.92511OpenAlexW2888109498MaRDI QIDQ4961331
Lianwen Wang, Yong Li, Xianning Liu, Xing An Zhang
Publication date: 29 October 2018
Published in: International Journal of Biomathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s1793524518500912
Epidemiology (92D30) Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23)
Cites Work
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- Lyapunov functions and global stability for \(SIR\) and \(SIRS\) epidemiological models with non-linear transmission
- Global stability for SIR and SIRS models with nonlinear incidence and removal terms via Dulac functions
- Optimal control of computer virus under a delayed model
- Threshold dynamics for a HFMD epidemic model with~periodic transmission rate
- Global dynamics of an SEIRS epidemic model with periodic vaccination and seasonal contact rate
- Dynamical behavior of computer virus on internet
- Bifurcations of an SIRS epidemic model with nonlinear incidence rate
- Analysis of stability and bifurcation for an SEIR epidemic model with saturated recovery rate
- Modelling seasonal HFMD infections with the effects of contaminated environments in mainland China
- Dynamics of an epidemic model with delays and stage structure
- The effect of time delay on the dynamics of an SEIR model with nonlinear incidence
- Differential-difference equations
- Use of a periodic vaccination strategy to control the spread of epidemics with seasonally varying contact rate
- Results on the dynamics for models for the sexual transmission of the human immunodeficiency virus
- Threshold dynamics for compartmental epidemic models in periodic environments
- Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological models
- Introduction to functional differential equations
- Backwards bifurcations and catastrophe in simple models of fatal diseases
- Permanence and positive periodic solution for a single-species nonautonomous delay diffusive models
- Asymptotic behavior in a deterministic epidemic model
- Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
- Dynamical behavior of an epidemic model with a nonlinear incidence rate
- The periodic solution of a class of epidemic models
- Stability and Hopf bifurcation in a HIV-1 infection model with delays and logistic growth
- Modeling seasonal measles transmission in China
- Global analysis of an epidemic model with nonmonotone incidence rate
- The epidemic threshold of vector-borne diseases with seasonality
- Stability and Hopf bifurcation for a logistic SIR model with a stage — Structure
- Global stability of a delayed SIRS computer virus propagation model
- A non-autonomous multi-strain SIS epidemic model
- Stability and multi-parametric Hopf bifurcation analyses of viral infection model with time delay
- The backward bifurcation of a model for malaria infection
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