Bifurcation analysis of an epidemic model with nonlinear incidence

DOI10.1016/J.AMC.2009.04.012zbMath1168.92323OpenAlexW2054181252MaRDI QIDQ833128

Wendi Wang, Guihua Li

Publication date: 12 August 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2009.04.012

zbMATH Keywords

limit cyclebistabilitysensitivehomoclinicsigmoidal

Mathematics Subject Classification ID

Epidemiology (92D30) Probabilistic models, generic numerical methods in probability and statistics (65C20) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05)

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Uses Software

• MATCONT

Cites Work

• Some epidemiological models with nonlinear incidence
• Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological models
• Dynamical behavior of epidemiological models with nonlinear incidence rates
• A qualitative study of a vaccination model with non-linear incidence
• Dynamical behavior of an epidemic model with a nonlinear incidence rate
• Dynamical behaviour of epidemiological models with sub-optimal immunity and nonlinear incidence
• Global analysis of an epidemic model with nonmonotone incidence rate
• Epidemic models with nonlinear infection forces
• Periodicity in an epidemic model with a generalized non-linear incidence
• An apparent paradox of horizontal and vertical disease transmission
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