Periodic Solutions of a Stochastic Food-Limited Mutualism Model

Xinhong Zhang () and Daqing Jiang ()
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Xinhong Zhang: China University of Petroleum (East China)
Daqing Jiang: China University of Petroleum (East China)

Methodology and Computing in Applied Probability, 2020, vol. 22, issue 1, 267-278

Abstract: Abstract In this paper, we consider a stochastic food-limited mutualism model with periodic coefficients. Using Has’minskii theory of periodic Markov processes, sufficient conditions for the existence of the stochastic nontrivial periodic solutions to the model are established. Then we obtain conditions for the existence and global attractivity of the boundary periodic solutions. Finally, examples are introduced to illustrate the results developed.

Keywords: Stochastic periodic solutions; Food-limited mutualism model; Extinction; 60H10; 34F05; 92D25 (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s11009-019-09697-6

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