Institute for Cyber Security
University of Texas at San Antonio
San Antonio, Texas 78249, USA
email: shylmath@hotmail.com
Yilun Shang
Abstract:
The susceptible-infected-susceptible (SIS) epidemic model can be
represented by a continuous-time Markov chain, which is governed by
a set of deterministic differential equations (Kolmogorov forward
equations). In this paper, a Lie algebra approach is applied to
solve an SIS model where infection rate and recovery rate are
time-varying. The method presented here has been used widely in
chemical and physical sciences but not in epidemic applications due
to insufficient symmetries.
Submitted August 24, 2012. Published December 21, 2012.
Math Subject Classifications: 92D30, 17B80, 60J22.
Key Words: Epidemic dynamics; Lie algebra; Riccati equation;
susceptible-infected-susceptible.
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Yilun Shang Institute for Cyber Security University of Texas at San Antonio San Antonio, Texas 78249, USA email: shylmath@hotmail.com |
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