Stationarity in moment closure and quasi-stationarity of the SIS model

Martins, José; Alberto Pinto; Nico Stollenwerk

http://hdl.handle.net/10400.8/15277

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Authors

Martins, José

Alberto Pinto

Nico Stollenwerk

Abstract(s)

Previous epidemiological studies on SIS model have only considered the dynamic evolution of the mean value and the variance of the infected individuals. In this paper, through cumulant neglection, we use the dynamic equations of all the moments of infected individuals to develop a recursive method to compute the equilibria manifold of the moment closure ODE’s. Specifically, we use the stable equilibria of the moment closure ODE’s to obtain good approximations of the quasi-stationary states of the SIS model. This is a crucial step when the quasi-stationary distribution is highly skewed.

Keywords

SIS model Moment closure Quasi-stationary states

URI

http://hdl.handle.net/10400.8/15277

Citation

José Martins, Alberto Pinto, Nico Stollenwerk, Stationarity in moment closure and quasi-stationarity of the SIS model, Mathematical Biosciences, Volume 236, Issue 2, 2012, Pages 126-131, ISSN 0025-5564, https://doi.org/10.1016/j.mbs.2012.02.001.