Periodic solutions and stationary distribution of mutualism models in random environments

Xinhong Zhang, Daqing Jiang, Ahmed Alsaedi and Tasawar Hayat

Physica A: Statistical Mechanics and its Applications, 2016, vol. 460, issue C, 270-282

Abstract: This paper is concerned with mutualism models in random environments. For the periodic mutualism model disturbed by white noise, using Has’minskii theory of periodic solution, we show that this model admits a nontrivial positive periodic solution. Then sufficient conditions for the existence and global attractivity of the boundary periodic solutions are established. For the mutualism model disturbed by both white noise and telephone noise, sufficient conditions for positive recurrence and the existence of ergodic stationary distribution of the solution are established. Finally, examples are introduced to illustrate the results developed.

Keywords: Stochastic periodic solutions; Mutualism model; Stationary distribution (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:460:y:2016:i:c:p:270-282

DOI: 10.1016/j.physa.2016.05.015

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