A Lie algebra approach to susceptible-infected-susceptible epidemics

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 infectio...

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Main Author:	Yilun Shang
Format:	Article
Language:	English
Published:	Texas State University 2012-12-01
Series:	Electronic Journal of Differential Equations
Subjects:	Epidemic dynamics Lie algebra Riccati equation susceptible-infected-susceptible
Online Access:	http://ejde.math.txstate.edu/Volumes/2012/233/abstr.html

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spelling	doaj-f6eeaf17b2884810b28807412fe729342020-11-24T22:21:09ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912012-12-012012233,17A Lie algebra approach to susceptible-infected-susceptible epidemicsYilun ShangThe 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. http://ejde.math.txstate.edu/Volumes/2012/233/abstr.htmlEpidemic dynamicsLie algebraRiccati equationsusceptible-infected-susceptible
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Yilun Shang
spellingShingle	Yilun Shang A Lie algebra approach to susceptible-infected-susceptible epidemics Electronic Journal of Differential Equations Epidemic dynamics Lie algebra Riccati equation susceptible-infected-susceptible
author_facet	Yilun Shang
author_sort	Yilun Shang
title	A Lie algebra approach to susceptible-infected-susceptible epidemics
title_short	A Lie algebra approach to susceptible-infected-susceptible epidemics
title_full	A Lie algebra approach to susceptible-infected-susceptible epidemics
title_fullStr	A Lie algebra approach to susceptible-infected-susceptible epidemics
title_full_unstemmed	A Lie algebra approach to susceptible-infected-susceptible epidemics
title_sort	lie algebra approach to susceptible-infected-susceptible epidemics
publisher	Texas State University
series	Electronic Journal of Differential Equations
issn	1072-6691
publishDate	2012-12-01
description	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.
topic	Epidemic dynamics Lie algebra Riccati equation susceptible-infected-susceptible
url	http://ejde.math.txstate.edu/Volumes/2012/233/abstr.html
work_keys_str_mv	AT yilunshang aliealgebraapproachtosusceptibleinfectedsusceptibleepidemics AT yilunshang liealgebraapproachtosusceptibleinfectedsusceptibleepidemics
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A Lie algebra approach to susceptible-infected-susceptible epidemics

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