Hopf bifurcation analysis of a delayed SEIR epidemic model with infectious force in latent and infected period

DOI10.1186/s13662-018-1805-6zbMath1448.92341OpenAlexW2895551071WikidataQ90745853 ScholiaQ90745853MaRDI QIDQ1713797

Aekabut Sirijampa, Wirawan Chinviriyasit, Settapat Chinviriyasit

Publication date: 30 January 2019

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

Full work available at URL: https://doi.org/10.1186/s13662-018-1805-6

zbMATH Keywords

time delayHopf bifurcationSEIR epidemic modelstandard incidence

Mathematics Subject Classification ID

Epidemiology (92D30) Stability theory of functional-differential equations (34K20) Periodic solutions to functional-differential equations (34K13) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Bifurcation theory of functional-differential equations (34K18)

Related Items (5)

A delayed e-epidemic SLBS model for computer virus ⋮ Transmissibility of epidemic diseases caused by delay with local proportional fractional derivative ⋮ Bifurcation analysis of an e-SEIARS model with multiple delays for point-to-group worm propagation ⋮ Mathematical modeling of intervention and low medical resource availability with delays: applications to COVID-19 outbreaks in Spain and Italy ⋮ Dynamics of a delayed SIR model for the transmission of PRRSV among a swine population

Cites Work

• Unnamed Item
• The effect of incidence functions on the dynamics of a quarantine/isolation model with time delay
• A nonlinear AIDS epidemic model with screening and time delay
• Global stability and Hopf bifurcations of an SEIR epidemiological model with logistic growth and time delay
• Hopf bifurcation and spatial patterns of a delayed biological economic system with diffusion
• On the stability of an SEIR epidemic model with distributed time-delay and a general class of feedback vaccination rules
• The effect of time delay on the dynamics of an SEIR model with nonlinear incidence
• Global stability of a delayed SIR epidemic model with density dependent birth and death rates
• Two profitless delays for the SEIRS epidemic disease model with nonlinear incidence and pulse vaccination
• Hopf bifurcation analysis in a delayed system for cancer virotherapy
• Global stability of a delayed SIRS model with temporary immunity
• The effects of pulse vaccination on SEIR model with two time delays
• SEIR epidemiological model with varying infectivity and infinite delay
• Stability of Hopf bifurcation of a delayed SIRS epidemic model with stage structure
• Theory of functional differential equations. 2nd ed
• The threshold of a stochastic delayed SIR epidemic model with temporary immunity
• Hopf bifurcation of an epidemic model with a nonlinear birth in population and vertical transmission
• Variability order of the latent and the infectious periods in a deterministic SEIR epidemic model and evaluation of control effectiveness
• Dynamics of an HIV/AIDS model -- the effect of time delay
• Toric ideals and graph theory to analyze Hopf bifurcations in mass action systems
• An epidemic model of a vector-borne disease with direct transmission and time delay
• Bifurcation analysis in a predator\,-\,prey system with time delay
• Global dynamics of an SEIR epidemic model with immigration of different compartments
• The Mathematics of Infectious Diseases
• Threshold and stability results for an age-structured SEIR epidemic model

This page was built for publication: Hopf bifurcation analysis of a delayed SEIR epidemic model with infectious force in latent and infected period