Global dynamics of a two-strain flu model with a single vaccination and general incidence rate

DOI10.3934/MBE.2020400zbMath1471.92207arXiv2004.10713OpenAlexW3103548139WikidataQ104619398 ScholiaQ104619398MaRDI QIDQ1979634

Arturo J. Nic-May, E. J. Avila-Vales

Publication date: 3 September 2021

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

Full work available at URL: https://arxiv.org/abs/2004.10713

zbMATH Keywords

Lyapunov functionalbasic reproduction numbermathematical modelvaccinationinfluenzaglobally asymptotically stablegeneral nonlinear incidence rate

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Medical epidemiology (92C60)

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Cites Work

• A model for influenza with vaccination and awareness
• A generalization of the Kermack-McKendrick deterministic epidemic model
• An SEIR epidemic model with relapse and general nonlinear incidence rate with application to media impact
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• Transmission dynamics of the great influenza pandemic of 1918 in Geneva, Switzerland: assessing the effects of hypothetical interventions
• Flu epidemics: a two-strain flu model with a single vaccination
• Uniformly Persistent Systems
• Persistence under Relaxed Point-Dissipativity (with Application to an Endemic Model)
• Non-linear incidence and stability of infectious disease models

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