Periodic Solutions of a Stochastic Food-Limited Mutualism Model.

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. [ABSTRACT FROM AUTHOR]