Complex dynamics in an SIS epidemic model with nonlinear incidence

DOI10.1186/s13662-019-1974-yzbMath1458.37107OpenAlexW2941724268MaRDI QIDQ1720160

Jinhui Li, Ruixia Yuan, Zhi-Dong Teng

Publication date: 12 February 2019

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-019-1974-y

zbMATH Keywords

bifurcationepidemicnonlinear incidence ratepsychological effectsaturated mass action

Mathematics Subject Classification ID

Epidemiology (92D30) Dynamical systems in biology (37N25)

Related Items

Two solutions to Kirchhoff-type fourth-order implusive elastic beam equations

Cites Work

• Bifurcation of an SIS model with nonlinear contact rate
• Some epidemiological models with nonlinear incidence
• Bifurcation analysis of a predator-prey system with generalised Holling type III functional response
• Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological models
• Backwards bifurcations and catastrophe in simple models of fatal diseases
• Analysis of an epidemic model with bistable equilibria using the Poincaré index.
• A simple SIS epidemic model with a backward bifurcation
• Dynamical behavior of an epidemic model with a nonlinear incidence rate
• Stability analysis in a class of discrete SIRS epidemic models
• Dynamical analysis and chaos control of a discrete SIS epidemic model
• Stability and bifurcation analysis in a discrete SIR epidemic model
• Global analysis of an epidemic model with nonmonotone incidence rate
• Periodicity in an epidemic model with a generalized non-linear incidence
• Bifurcation Analysis of an SIRS Epidemic Model with Generalized Incidence
• Unnamed Item
• Unnamed Item
• Unnamed Item