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A LIE ALGEBRA APPROACH TO SUSCEPTIBLE-INFECTED-SUSCEPTIBLE EPIDEMICS

Yilun Shang
2012 Electronic Journal of Differential Equations   unpublished
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.
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