Stability and Hopf bifurcation of a delayed epidemic model with stage structure and nonlinear incidence rate

DOI10.1002/mma.2962zbMath1312.34127OpenAlexW2087918290MaRDI QIDQ2922246

Rui Xu, Xiaohong Tian

Publication date: 9 October 2014

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.2962

zbMATH Keywords

stabilitytime delaybifurcationbasic reproduction numberstage structureepidemic model

Mathematics Subject Classification ID

Epidemiology (92D30) Stability theory of functional-differential equations (34K20) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Bifurcation theory of functional-differential equations (34K18)

Cites Work

• Bifurcation analysis of a delayed SIS epidemic model with stage structure
• Delay differential equations: with applications in population dynamics
• Theory of functional differential equations. 2nd ed
• A generalization of the Kermack-McKendrick deterministic epidemic model
• Global asymptotic properties of a delay SIR epidemic model with finite incubation times
• Dynamical behavior for a stage-structured SIR infectious disease model
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• Global asymptotic stability of an \(SIR\) epidemic model with distributed time delay.
• The effect of stage-structure on the permanence of a predator-prey system with time delay
• On an SIS epidemic model with stage structure
• A discrete epidemic model with stage structure
• Analysis of a SIS epidemic model with stage structure and a delay.

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