Hopf bifurcation of a class of delayed epidemic model

DOI10.3969/J.ISSN.1674-232X.2016.01.016zbMATH Open1363.34298MaRDI QIDQ2823816

Long Tao, Wen Zhou, Lei Cao, Daoxiang Zhang

Publication date: 6 October 2016

Published in: Journal of Hangzhou Normal University. Natural Sciences Edition (Search for Journal in Brave)

zbMATH Keywords

stabilityperiodic solutionHopf bifurcationdelaysSEIR epidemic model

Mathematics Subject Classification ID

Epidemiology (92D30) Transformation and reduction of functional-differential equations and systems, normal forms (34K17) 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) Invariant manifolds of functional-differential equations (34K19)

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Hopf bifurcation and other dynamical behaviors for a fourth order differential equation in models of infectious disease ⋮ Title not available (Why is that?) ⋮ Applications of the Poincaré–Hopf Theorem: Epidemic Models and Lotka–Volterra Systems ⋮ Delay-driven Hopf bifurcation in a networked Malaria model ⋮ Hopf bifurcation analysis on a delayed reaction-diffusion system modelling the spatial spread of bacterial and viral diseases ⋮ Hopf bifurcation and its stability for a vector-borne disease model with delay and reinfection ⋮ Hopf Bifurcation in a Mathematical Model of Tuberculosis with Delay ⋮ Andronov-Hopf and Neimark-Sacker bifurcations in time-delay differential equations and difference equations with applications to models for diseases and animal populations

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