Abstract Brown dwarfs bridge the gap between stars and planets, providing valuable insight into both planetary and stellar-formation mechanisms. Yet the census of transiting brown-dwarf companions, in particular around M-dwarf stars, remains incomplete. We report the discovery of two transiting brown dwarfs around low-mass hosts using a combination of space- and ground-based photometry along with near-infrared radial velocities. We characterize TOI-5389Ab ( ) and TOI-5610b ( ), two moderately massive brown dwarfs orbiting early M-dwarf hosts (Teff = 3569 ± 59 K and 3618 ± 59 K, respectively). For TOI-5389Ab, the best fitting parameters are periodP = 10.40046 ± 0.00002 days, radius RJ, and low eccentricity . In particular, this constitutes one of the most extreme substellar-stellar companion-to-host mass ratios ofq= 0.150. For TOI-5610b, the best-fitting parameters are periodP = 7.95346 ± 0.00002 days, radius RJ, and moderate eccentricity . Both targets are expected to have shallow, but potentially observable, occultations: ≲500 ppm in the JohnsonKband. A statistical analysis of M-dwarf/BD systems reveals for the first time that those at short orbital periods (P < 13 days) exhibit a dearth of 13MJ < MBD < 40MJcompanions (q < 0.1) compared to those at slightly wider separations.
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Fundamental bound on epidemic overshoot in the SIR model
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 . In considering the utility of the notion of overshoot, a rudimentary analysis of data from the first wave of the COVID-19 pandemic in Manaus, Brazil highlights the public health hazard posed by overshoot for epidemics withR0near 2. Using the general analysis framework presented within, we then consider more complex SIR models that incorporate vaccination.
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- Award ID(s):
- 1917819
- PAR ID:
- 10492638
- Publisher / Repository:
- Journal of The Royal Society Interface
- Date Published:
- Journal Name:
- Journal of The Royal Society Interface
- Volume:
- 20
- Issue:
- 209
- ISSN:
- 1742-5662
- Page Range / eLocation ID:
- 20230322
- Subject(s) / Keyword(s):
- epidemiology SIR model overshoot
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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