Positive recurrent of stochastic coral reefs model

Zaitang Huang

Physica A: Statistical Mechanics and its Applications, 2017, vol. 486, issue C, 751-761

Abstract: In this work, we discuss permanence and ergodicity of a stochastic coral reefs model. One of the distinctive features of our results is that our results enables characterization of the support of a unique invariant probability measure by Lie groups and geometric control theory. It is proved that the densities either converges to an invariant density or converges weakly to a singular measure.

Keywords: Coral reefs; Permanence; Stationary distribution; Markov semigroups; Geometric control theory (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:486:y:2017:i:c:p:751-761

DOI: 10.1016/j.physa.2017.05.073

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