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Periodic Solutions of a Stochastic Food-Limited Mutualism Model

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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.

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Acknowledgments

The authors thank the Editor and the reviewers for their helpful suggestions, comments, and also thank National Natural Science Foundation of China (Grant Nos 11801566, 11871473).

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Correspondence to Daqing Jiang.

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Zhang, X., Jiang, D. Periodic Solutions of a Stochastic Food-Limited Mutualism Model. Methodol Comput Appl Probab 22, 267–278 (2020). https://doi.org/10.1007/s11009-019-09697-6

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  • DOI: https://doi.org/10.1007/s11009-019-09697-6

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