Dynamic analysis of the recurrent epidemic model

DOI10.3934/MBE.2019299zbMath1497.92241OpenAlexW2953739647WikidataQ93200783 ScholiaQ93200783MaRDI QIDQ2160897

Dongxue Yan, Ao Li, Hui Cao

Publication date: 3 August 2022

Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mbe.2019299

zbMATH Keywords

Hopf bifurcation\(C_0\)-semigroupasymptotical stabilityage-structured modelrecurrent epidemic

Mathematics Subject Classification ID

Epidemiology (92D30) Bifurcation theory for ordinary differential equations (34C23)

Related Items (4)

Hopf bifurcation of the age-structured SIRS model with the varying population sizes ⋮ Unnamed Item ⋮ The bifurcation analysis of an SIRS epidemic model with immunity age and constant treatment ⋮ Hopf Bifurcation of an Age-Structured Epidemic Model with Quarantine and Temporary Immunity Effects

Cites Work

• Recurrent epidemics in small world networks
• Seasonal dynamics and thresholds governing recurrent epidemics
• Semigroups of linear operators and applications to partial differential equations
• Convergence results and a Poincaré-Bendixson trichotomy for asymptotically autonomous differential equations
• Theory of functional differential equations. 2nd ed
• Progression age enhanced backward bifurcation in an epidemic model with super-infection
• One-Parameter Semigroups for Linear Evolution Equations

This page was built for publication: Dynamic analysis of the recurrent epidemic model