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Quasistationary distributions for autocatalytic reactions

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Abstract

We provide simple conditions for the existence of quasistationary distributions that can be used to describe the long-term behaviour ofopen autocatalytic reaction systems. We illustrate with reference to a particular example that the quasistationary distribution is close to the usual stationary diffusion approximation.

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Authors and Affiliations

  1. Clinical Epidemiology Unit, Queen Elizabeth II Medical Centre, 6009, Nedlands, Western Australia

    R. W. Parsons

  2. School of Mathematical and Physical Sciences, Murdoch University, 6150, Murdoch, Western Australia

    P. K. Pollett

Authors
  1. R. W. Parsons
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  2. P. K. Pollett
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Parsons, R.W., Pollett, P.K. Quasistationary distributions for autocatalytic reactions. J Stat Phys 46, 249–254 (1987). https://doi.org/10.1007/BF01010344

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  • DOI: https://doi.org/10.1007/BF01010344

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