Comparing intervention measures in a model of a disease outbreak on a university campus

A number of theoretical models have been developed in recent years modelling epidemic spread in educational settings such as universities to help inform re-opening strategies during the Covid-19 pandemic. However, these studies have had differing conclusions as to the most effective non-pharmaceutical interventions. They also largely assumed permanent acquired immunity, meaning we have less understanding of how disease dynamics will play out when immunity wanes. Here we complement these studies by developing and analysing a stochastic simulation model of disease spread on a university campus where we allow immunity to wane, expoloring the effectiveness of different interventions. We find that the two most effective interventions to limit the severity of a disease outbreak are reducing extra-household mixing and surveillance testing backed-up by a moderate isolation period. We find that contact tracing only has a limited effect, while reducing class sizes only has much effect if extra-household mixing is already low. We identify a range of measures that can not only limit an outbreak but prevent it entirely, and also comment on the variation in measures of severity that emerge from our stochastic simulations. We hope that our model may help in designing effective strategies for universities in future disease outbreaks.

[1]  S. Geritz,et al.  Modelling and optimising healthcare interventions in a model with explicit within- and between-host dynamics. , 2022, Journal of Theoretical Biology.

[2]  E. Brooks-Pollock,et al.  Alternative COVID-19 mitigation measures in school classrooms: analysis using an agent-based model of SARS-CoV-2 transmission , 2022, Royal Society Open Science.

[3]  A. Uzicanin,et al.  COVID-19 prevention at institutions of higher education, United States, 2020–2021: implementation of nonpharmaceutical interventions , 2022, BMC Public Health.

[4]  A. Kucharski,et al.  Within and between classroom transmission patterns of seasonal influenza among primary school students in Matsumoto city, Japan , 2021, Proceedings of the National Academy of Sciences.

[5]  L. Danon,et al.  Modelling that shaped the early COVID-19 pandemic response in the UK , 2021, Philosophical Transactions of the Royal Society B.

[6]  L. Danon,et al.  A spatial model of COVID-19 transmission in England and Wales: early spread, peak timing and the impact of seasonality , 2021, Philosophical Transactions of the Royal Society B.

[7]  Alex J Best,et al.  The impact of varying class sizes on epidemic spread in a university population , 2021, Royal Society Open Science.

[8]  A. Best,et al.  How Local Interactions Impact the Dynamics of an Epidemic , 2020, Bulletin of Mathematical Biology.

[9]  J. Doudna,et al.  Optimizing COVID-19 control with asymptomatic surveillance testing in a university environment , 2020, medRxiv.

[10]  Amy C. Thomas,et al.  High COVID-19 transmission potential associated with re-opening universities can be mitigated with layered interventions , 2020, Nature Communications.

[11]  Nicole Eikmeier,et al.  Modeling COVID-19 spread in small colleges , 2020, PloS one.

[12]  R. Durrett,et al.  Controlling the spread of COVID-19 on college campuses. , 2020, Mathematical biosciences and engineering : MBE.

[13]  Joel Hellewell,et al.  Using a real-world network to model localized COVID-19 control strategies , 2020, Nature Medicine.

[14]  P. Klepac,et al.  Dynamics of SARS-CoV-2 with waning immunity in the UK population , 2020, Philosophical Transactions of the Royal Society B.

[15]  S. Lehmann,et al.  Fixed-time descriptive statistics underestimate extremes of epidemic curve ensembles , 2020, Nature Physics.

[16]  Morgan P. Kain,et al.  Chopping the tail: how preventing superspreading can help to maintain COVID-19 control , 2020, medRxiv.

[17]  Rochelle P. Walensky,et al.  Assessment of SARS-CoV-2 Screening Strategies to Permit the Safe Reopening of College Campuses in the United States , 2020, JAMA network open.

[18]  T. Lash,et al.  A model of COVID-19 transmission and control on university campuses , 2020, medRxiv.

[19]  Yang Liu,et al.  Early dynamics of transmission and control of COVID-19: a mathematical modelling study , 2020, The Lancet Infectious Diseases.

[20]  K. Sharkey Deterministic epidemiological models at the individual level , 2008, Journal of mathematical biology.

[21]  P. E. Kopp,et al.  Superspreading and the effect of individual variation on disease emergence , 2005, Nature.

[22]  M. Brandeau,et al.  Resource allocation for control of infectious diseases in multiple independent populations: beyond cost-effectiveness analysis. , 2003, Journal of health economics.

[23]  B T Grenfell,et al.  Individual-based perspectives on R(0). , 2000, Journal of theoretical biology.

[24]  M. Keeling,et al.  The effects of local spatial structure on epidemiological invasions , 1999, Proceedings of the Royal Society of London. Series B: Biological Sciences.

[25]  D. Gillespie A General Method for Numerically Simulating the Stochastic Time Evolution of Coupled Chemical Reactions , 1976 .

[26]  A. Abakuks An optimal isolation policy for an epidemic , 1973, Journal of Applied Probability.

[27]  P. Frazier,et al.  Addendum: COVID-19 Mathematical Modeling for Cornell’s Fall Semester , 2020 .

[28]  W. O. Kermack,et al.  Contributions to the mathematical theory of epidemics—I , 1991, Bulletin of mathematical biology.