Asymptotic Approximants for Closed-Form Models of Epidemics
Seminar
QUEST Center event
No
Speaker
Nate Barlow, Rochester Institute of Technology (RIT), NY, USA
Date
24/08/2020 - 20:30 - 18:30Add to Calendar
2020-08-24 18:30:00
2020-08-24 20:30:00
Asymptotic Approximants for Closed-Form Models of Epidemics
An accurate closed-form solution is obtained to the SIR Epidemic Model and to the SEIR Epidemic Model through the use of Asymptotic Approximants (Barlow et al., 2017). An analytic solution is obtained to the SEIR Epidemic Model. The solution is created by constructing a single second-order nonlinear differential equation in ln(S) and analytically continuing its divergent power series solution such that it matches the correct long-time exponential damping of the epidemic model. The utility of the analytical form is demonstrated through its application to the COVID-19 pandemic.
Similar methods have been used to model geodesics around Kerr black holes, and are under development for modeling gravitational waveforms from binary black hole mergers, from the inspiral to the ringdown stages.
The talk and discussion will be hosted on Zoom: https://zoom.us/j/9290951953
The start time is 8:30 EDT / 15:30 Jerusalem time.
Zoom
המחלקה לפיזיקה
physics.dept@mail.biu.ac.il
Asia/Jerusalem
public
Place
Zoom
Abstract
An accurate closed-form solution is obtained to the SIR Epidemic Model and to the SEIR Epidemic Model through the use of Asymptotic Approximants (Barlow et al., 2017). An analytic solution is obtained to the SEIR Epidemic Model. The solution is created by constructing a single second-order nonlinear differential equation in ln(S) and analytically continuing its divergent power series solution such that it matches the correct long-time exponential damping of the epidemic model. The utility of the analytical form is demonstrated through its application to the COVID-19 pandemic.
Similar methods have been used to model geodesics around Kerr black holes, and are under development for modeling gravitational waveforms from binary black hole mergers, from the inspiral to the ringdown stages.
The talk and discussion will be hosted on Zoom: https://zoom.us/j/9290951953
The start time is 8:30 EDT / 15:30 Jerusalem time.
תאריך עדכון אחרון : 22/08/2020
