9 citations · 17 across the 3 of their papers we have counts for
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q-bio.PE2023★ 9 cited
Fundamental Bound on Epidemic Overshoot in the SIR Model
Maximilian Nguyen, Ari Freedman, Sinan Ozbay +1
We derive an exact upper bound on the epidemic overshoot for the Kermack-McKendrick SIR model. This maximal overshoot value of 0.2984... occurs at = 2.151... . In consideri…
q-bio.PE2022★ 1 cited
Bifurcations in the Herd Immunity Threshold for Discrete-Time Models of Epidemic Spread
Sinan A. Ozbay, Bjarke F. Nielsen, Maximilian M. Nguyen
We performed a thorough sensitivity analysis of the herd immunity threshold for discrete-time SIR compartmental models with a static network structure. We find unexpectedly that th…