BIFURCATION ANALYSIS OF AN SIRS EPIDEMIC MODEL WITH STANDARD INCIDENCE RATE AND SATURATED TREATMENT FUNCTION
DOI10.11948/2017067zbMath1474.34304OpenAlexW2617854331MaRDI QIDQ5149624
Yixian Gao, Dan Liu, Weipeng Zhang, Xiao Yanju
Publication date: 11 February 2021
Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.11948/2017067
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)
Related Items (6)
Cites Work
- Unnamed Item
- Unnamed Item
- Saturated treatments and measles resurgence episodes in South Africa: a possible linkage
- Dynamics of an SIR epidemic model with limited medical resources revisited
- Qualitative analysis of an age-structured SEIR epidemic model with treatment
- Bifurcation analysis of an SIS epidemic model with saturated incidence rate and saturated treatment function
- Stability and bifurcation of an SIS epidemic model with treatment
- Dynamics of an epidemic model with quadratic treatment
- Bifurcations of an SIRS epidemic model with nonlinear incidence rate
- Analysis of stability and bifurcation for an SEIR epidemic model with saturated recovery rate
- On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
- Global stability and periodicity of SIS epidemic models with backward bifurcation
- Bifurcation analysis of an epidemic model with nonlinear incidence
- Local and global bifurcations in an SIRS epidemic model
- Backward bifurcation and global dynamics of an SIS epidemic model with general incidence rate and treatment
- Backward bifurcation of an epidemic model with saturated treatment function
- Backward bifurcation of an epidemic model with standard incidence rate and treatment rate
- Backward bifurcation in simple SIS model
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological models
- Dynamic models of infectious diseases as regulators of population sizes
- Elements of applied bifurcation theory.
- Backward bifurcation in epidemic control
- Progression age enhanced backward bifurcation in an epidemic model with super-infection
- Bifurcations in an epidemic model with constant removal rate of the infectives
- A simple SIS epidemic model with a backward bifurcation
- Stability and Bogdanov-Takens bifurcation of an SIS epidemic model with saturated treatment function
- Dynamical models of tuberculosis and their applications
- Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
- Dynamical behavior of an epidemic model with a nonlinear incidence rate
- Backward bifurcations in simple vaccination models
- Stability analysis of an SEIQV epidemic model with saturated incidence rate
- Multiparametric bifurcations for a model in epidemiology
- The network level reproduction number for infectious diseases with both vertical and horizontal transmission
- Bifurcations of an epidemic model with non-monotonic incidence rate of saturated mass action
- Backward bifurcation of an epidemic model with treatment
- An SIRS model with a nonlinear incidence rate
- Periodicity in an epidemic model with a generalized non-linear incidence
- Homoclinic orbits in a disease transmission model with nonlinear incidence and nonconstant population
- Backward bifurcations in simple vaccination/treatment models
- Coexistence of Limit Cycles and Homoclinic Loops in a SIRS Model with a Nonlinear Incidence Rate
- Global Results for an Epidemic Model with Vaccination that Exhibits Backward Bifurcation
- Bifurcation Analysis of an SIRS Epidemic Model with Generalized Incidence
- DYNAMICS OF SIS EPIDEMIC MODEL WITH THE STANDARD INCIDENCE RATE AND SATURATED TREATMENT FUNCTION
This page was built for publication: BIFURCATION ANALYSIS OF AN SIRS EPIDEMIC MODEL WITH STANDARD INCIDENCE RATE AND SATURATED TREATMENT FUNCTION