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Pools versus Queues: The Variable Dynamics of Stochastic “Steady States”

Eric T Lofgren

PLOS ONE, 2015, vol. 10, issue 6, 1-11

Abstract: Mathematical models in ecology and epidemiology often consider populations “at equilibrium”, where in-flows, such as births, equal out-flows, such as death. For stochastic models, what is meant by equilibrium is less clear – should the population size be fixed or growing and shrinking with equal probability? Two different mechanisms to implement a stochastic steady state are considered. Under these mechanisms, both a predator-prey model and an epidemic model have vastly different outcomes, including the median population values for both predators and prey and the median levels of infection within a hospital (P

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:plo:pone00:0130574

DOI: 10.1371/journal.pone.0130574

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