Modeling disease spread via transport-related infection by a delay differential equation

DOI10.1216/RMJ-2008-38-5-1525zbMath1194.34111OpenAlexW2007947726WikidataQ115240046 ScholiaQ115240046MaRDI QIDQ1011079

Jianhong Wu, Yicang Zhou, Junli Liu

Publication date: 7 April 2009

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmj-2008-38-5-1525

zbMATH Keywords

stabilitydelaypermanencetransport-related infection

Mathematics Subject Classification ID

Epidemiology (92D30) Stability theory of functional-differential equations (34K20) Global stability of solutions to ordinary differential equations (34D23)

Related Items (5)

A SIMPLE SIS PATCH MODEL WITH TIME DELAY DUE TO MIGRATION AMONG ONLINE SOCIAL NETWORK COMMUNITIES ⋮ Rich dynamics of a brucellosis model with transport ⋮ On the global stability of a delayed epidemic model with transport-related infection ⋮ A periodic two-patch SIS model with time delay and transport-related infection ⋮ Global analysis for spread of infectious diseases via transportation networks

Cites Work

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• A mathematical model for the global spread of influenza
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• Delay equations. Functional-, complex-, and nonlinear analysis
• A structured epidemic model incorporating geographic mobility among regions
• Persistence in Infinite-Dimensional Systems
• A multi-city epidemic model
• An Age-Structured Epidemic Model in a Patchy Environment

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