@article{01569491b0124e598152e29519eea875,
title = "An SIQ delay differential equations model for disease control via isolation",
abstract = "Infectious diseases are among the most prominent threats to mankind. When preventive health care cannot be provided, a viable means of disease control is the isolation of individuals who may be infected. To study the impact of isolation, we propose a system of delay differential equations and offer our model analysis based on the geometric theory of semi-flows. Calibrating the response to an outbreak in terms of the fraction of infectious individuals isolated and the speed with which this is done, we deduce the minimum response required to curb an incipient outbreak, and predict the ensuing endemic state should the infection continue to spread.",
keywords = "Delay differential equations, Disease control via isolation, Epidemic spreading, Invariant manifolds",
author = "Stefan Ruschel and Tiago Pereira and Serhiy Yanchuk and Young, {Lai Sang}",
note = "Funding Information: Acknowledgements The authors would like to thank Odo Diekmann and Dimitry Turaev for critical discussion, and Stefan Ruschel would like to thank the University of S{\~a}o Paulo in S{\~a}o Carlos and New York University for their hospitality. This paper was developed within the scope of the IRTG 1740/ TRP 2015/50122-0, funded by the DFG/FAPESP. Serhiy Yanchuk was supported by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation)—Project 411803875. Lai-Sang Young was partially supported by NSF Grant DMS-1363161. Tiago Pereira was partially supported by FAPESP Grant 2013/07375-0. Funding Information: The authors would like to thank Odo Diekmann and Dimitry Turaev for critical discussion, and Stefan Ruschel would like to thank the University of S?o Paulo in S?o Carlos and New York University for their hospitality. This paper was developed within the scope of the IRTG 1740/ TRP 2015/50122-0, funded by the DFG/FAPESP. Serhiy Yanchuk was supported by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation)?Project 411803875. Lai-Sang Young was partially supported by NSF Grant DMS-1363161. Tiago Pereira was partially supported by FAPESP Grant 2013/07375-0. Publisher Copyright: {\textcopyright} 2019, Springer-Verlag GmbH Germany, part of Springer Nature.",
year = "2019",
month = jul,
day = "1",
doi = "10.1007/s00285-019-01356-1",
language = "English (US)",
volume = "79",
pages = "249--279",
journal = "Journal of Mathematical Biology",
issn = "0303-6812",
publisher = "Springer Verlag",
number = "1",
}