references.bib

@article{Blackwood2018a,
	title = {An introduction to compartmental modeling for the budding infectious disease modeler},
	volume = {5},
	issn = {23737867},
	doi = {10.1080/23737867.2018.1509026},
	abstract = {Mathematical models are ubiquitous in the study of the transmission dynamics of infectious diseases, In particular, the classic ‘susceptible-infectious-recovered’ (SIR) paradigm provides a modeling framework that can be adapted to describe the core transmission dynamics of a range of human and wildlife diseases. These models provide an important tool for uncovering the mechanisms generating observed disease dynamics, evaluating potential control strategies, and predicting future outbreaks. With ongoing advances in computational tools as well as access to disease incidence data, the use of such models continues to increase. Here, we provide a basic introduction to disease modeling that is primarily intended for individuals who are new to developing SIR-type models. In particular, we highlight several common issues encountered when structuring and analyzing these models.},
	number = {1},
	journal = {Letters in Biomathematics},
	author = {Blackwood, Julie C. and Childs, Lauren M.},
	year = {2018},
	keywords = {basic reproductive number, compartmental model, Mathematical model, transmission},
	pages = {195--221},
	file = {PDF:/Users/lshja16/Zotero/storage/BSZIJW3X/An introduction to compartmental modeling for the budding infectious disease modeler.pdf:application/pdf},
}

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}

@article{kermack1927contribution,
  title={A contribution to the mathematical theory of epidemics},
  author={Kermack, William Ogilvy and McKendrick, Anderson G},
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}

@article{yadav2021statistical,
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  journal={Frontiers in public health},
  volume={9},
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  year={2021},
  publisher={Frontiers}
}

@article{guerra2017measlesR0,
  title={The basic reproduction number (R0) of measles: a systematic review},
  author={Guerra, Fiona M and Bolotin, Shelly and Lim, Gillian and Heffernan, Jane and Deeks, Shelley L and Li, Ye and Crowcroft, Natasha S},
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  volume={17},
  number={12},
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  year={2017},
  publisher={Elsevier}
}

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  year={2002},
  publisher={Springer}
}

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  year={2010},
  publisher={The Royal Society}
}

@article{diekmann1990definition,
  title={On the definition and the computation of the basic reproduction ratio R 0 in models for infectious diseases in heterogeneous populations},
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}

@article{anderson1982directly,
  title={Directly transmitted infections diseases: control by vaccination},
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}

@article{begon2002clarification,
  title={A clarification of transmission terms in host-microparasite models: numbers, densities and areas},
  author={Begon, Michael and Bennett, Malcolm and Bowers, Roger G and French, Nigel P and Hazel, SM and Turner, Joseph},
  journal={Epidemiology \& Infection},
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}

@article{brouwer2022spectral,
  title={Why the Spectral Radius? An intuition-building introduction to the basic reproduction number},
  author={Brouwer, Andrew F},
  journal={Bulletin of Mathematical Biology},
  volume={84},
  number={9},
  pages={96},
  year={2022},
  publisher={Springer}
}