Final epidemic size and optimal control of socio-economic multi-group influenza model

DOI10.1007/S10665-023-10264-9zbMath1519.92237OpenAlexW4363679233MaRDI QIDQ6107446

O. P. Misra, Sudipa Chauhan, Shashank Goel, Mamta Barik

Publication date: 3 July 2023

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10665-023-10264-9

zbMATH Keywords

optimal controlreproduction numberfinal epidemic sizebehaviour response

Mathematics Subject Classification ID

Epidemiology (92D30) Existence theories for optimal control problems involving ordinary differential equations (49J15)

Cites Work

• On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
• A delay differential model for pandemic influenza with antiviral treatment
• The dynamics of cocirculating influenza strains conferring partial cross-immunity
• A simple vaccination model with multiple endemic states
• Differential equations. Classical to controlled
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• Dynamics of influenza A drift: The linear three-strain model
• Predicting the HIV/AIDS epidemic and measuring the effect of mobility in mainland China
• Mathematical model of transmission dynamics and optimal control strategies for 2009 A/H1N1 influenza in the republic of Korea
• Spread and control of influenza in two groups: a model
• Prophylaxis or treatment? Optimal use of an antiviral stockpile during an influenza pandemic
• The Mathematics of Infectious Diseases
• Final Size of an Epidemic for a Two-Group SIR Model
• Sensitivity and Uncertainty Analysis of Complex Models of Disease Transmission: An HIV Model, as an Example
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