A CLASS OF LYAPUNOV FUNCTIONS AND THE GLOBAL STABILITY OF SOME EPIDEMIC MODELS WITH NONLINEAR INCIDENCE
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Publication:5121315
DOI10.11948/2016004zbMath1463.34323OpenAlexW2175906706MaRDI QIDQ5121315
Jianquan Li, Yanni Xiao, Shuo Liu, Yali Yang
Publication date: 14 September 2020
Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.11948/2016004
Epidemiology (92D30) Stability theory of functional-differential equations (34K20) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Stationary solutions of functional-differential equations (34K21)
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Cites Work
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- Global stability of the endemic equilibrium of multigroup SIR models with nonlinear incidence
- Dynamics of infection with nonlinear incidence in a simple vaccination model
- An epidemiological model with a delay and a nonlinear incidence rate
- Some epidemiological models with nonlinear incidence
- Global dynamics-convergence to equilibria-of epidemic patch models with immigration
- 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
- A simple SIS epidemic model with a backward bifurcation
- Global stability for the SEIR model in epidemiology
- Effects of quarantine in six endemic models for infectious diseases
- Dynamical behavior of an epidemic model with a nonlinear incidence rate
- Codimension 3 B-T bifurcations in an epidemic model with a nonlinear incidence
- Global analysis of an epidemic model with nonmonotone incidence rate
- Global properties of infectious disease models with nonlinear incidence
- Complex dynamics of a simple epidemic model with a nonlinear incidence
- Global Stability for a Virus Dynamics Model with Nonlinear Incidence of Infection and Removal
- Non-linear incidence and stability of infectious disease models
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