Global Hopf bifurcation analysis for an avian influenza virus propagation model with nonlinear incidence rate and delay

DOI10.1155/2014/242410zbMath1406.92639OpenAlexW2066720859WikidataQ59036690 ScholiaQ59036690MaRDI QIDQ1722418

Xiaona Ma, Haiyun Bai, Ying Xiong, Yan-Hui Zhai

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/242410

zbMATH Keywords

periodic solutionHopf bifurcationnonlinear incidence rateavian influenza virus propagation

Mathematics Subject Classification ID

Epidemiology (92D30) Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23)

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Cites Work

• Global stability of an SIR epidemic model with constant infectious period
• Global stability for an SIR epidemic model with delay and nonlinear incidence
• Global stability of a SIR epidemic model with nonlinear incidence rate and time delay
• Stability analysis for a vector disease model
• Hopf bifurcation in a three-species system with delays
• Symmetric functional differential equations and neural networks with memory
• Absolute stability, conditional stability and bifurcation in Kolmogorov-type predator-prey systems with discrete delays
• Hopf bifurcation analysis in a model of oscillatory gene expression with delay