Stability analysis of a disease resistance SEIRS model with nonlinear incidence rate
From MaRDI portal
Publication:1711638
DOI10.1186/s13662-018-1494-1zbMath1445.92273OpenAlexW2796066595MaRDI QIDQ1711638
Publication date: 18 January 2019
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-018-1494-1
Epidemiology (92D30) Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Global stability of solutions to ordinary differential equations (34D23)
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Cites Work
- Stability analysis of an influenza virus model with disease resistance
- A non-autonomous SEIRS model with general incidence rate
- Existence of periodic solutions of a periodic SEIRS model with general incidence
- Modeling of pseudo-rational exemption to vaccination for SEIR diseases
- Analysis of stability and bifurcation for an SEIR epidemic model with saturated recovery rate
- The effect of time delay on the dynamics of an SEIR model with nonlinear incidence
- Some epidemiological models with nonlinear incidence
- On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
- Stability and backward bifurcation in a malaria transmission model with applications to the control of malaria in China
- The stability of an SEIRS model with nonlinear incidence, vertical transmission and time delay
- Global asymptotic stability of a delayed SEIRS epidemic model with saturation incidence
- Global dynamics of a class of SEIRS epidemic models in a periodic environment
- Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological models
- Logarithmic norms and projections applied to linear differential systems
- A generalization of the Kermack-McKendrick deterministic epidemic model
- On Bendixson's criterion
- The saturating contact rate in marriage- and epidemic models
- Global stability for the SEIR model in epidemiology
- Global behavior of an SEIRS epidemic model with time delays
- Lyapunov functions and global stability for SIR, SIRS, and SIS epidemiological models
- Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
- Stability analysis of an SEIQV epidemic model with saturated incidence rate
- A computer virus model with graded cure rates
- Global properties of infectious disease models with nonlinear incidence
- Global stability for an special SEIR epidemic model with nonlinear incidence rates
- On the general structure of epidemic systems. Global asymptotic stability
- A Geometric Approach to Global-Stability Problems
- Persistence in dynamical systems