Dynamic transmission models - articles, books, and other useful sources

[Tomasz_Stanisz]

Hello,

I’d like to collect useful sources (articles, books, reports, etc.) about the principles of mathematical modelling of infectious diseases using dynamic transmission models. I’m especially interested in publications presenting an overview of general properties or use cases of such models. However, papers discussing particular setting, but containing an introductory or “theoretical” section that is informative and general enough, or introducing some influential concepts, are also welcome.

Examples of publications I’ve encountered:

• Vynnycky, E., White, R. (2010) An Introduction to Infectious Disease Modelling. Oxford University Press, Oxford. ISBN: 9780198565765.
  https://anintroductiontoinfectiousdiseasemodelling.com/
  A book containing a thorough introduction to dynamic models.

• Bjørnstad, O.N., Shea, K., Krzywinski, M. et al. (2020) The SEIRS model for infectious disease dynamics. Nat Methods 17, 557–558.
  The SEIRS model for infectious disease dynamics | Nature Methods
  An super-short article (2 pages) on simple extensions of the basic SIR model.

Feel free to share the sources that you find useful!

[Tomasz_Stanisz]

Two more:

• Magpantay, F. M. G., King, A. A., Rohani, P. (2019) Age-structure and transient dynamics in epidemiological systems. J. R. Soc. Interface. 16:20190151.
  https://doi.org/10.1098/rsif.2019.0151
  A paper discussing how taking the population age structure into consideration influences a dynamic model.

• Schenzle, D. (1984) An Age-Structured Model of Pre- and Post-Vaccination Measles Transmission. Mathematical Medicine and Biology: A Journal of the IMA, Volume 1, Issue 2, 1984, Pages 169–191.
  https://doi.org/10.1093/imammb/1.2.169
  The paper which introduced the now-widely-used approach to taking the population age structure into account.

[Iwona_erda]

Hi Tomasz_Stanisz,

I can share the following sources:
'1. “Mathematical Models in Population Biology and Epidemiology” by Brauer and Castillo-Chavez which is a comprehensive textbook on mathematical modeling techniques for infectious disease epidemiology,
2. “Transmission-dynamic models of infectious diseases” chapter from the Oxford Handbook of Public Health Practice (Transmission-dynamic models of infectious diseases | Infectious Disease Epidemiology | Oxford Academic) which gives more basic overview of the structure, development, and use of transmission dynamic models, and
3. “Dynamic Transmission Modeling: A Report of the ISPOR Dynamics Modeling Emerging Good Practices Task Force” published in Value in Health (https://www.ispor.org/docs/default-source/resources/outcomes-research-guidelines-index/dynamic_transmission_modeling-5.pdf?sfvrsn=86c71849_0) which provides best practices for developing and reporting dynamic transmission models.