Abstract
This paper is concerned with some stochastic properties of a novel rock–paper–scissors model. Firstly, the global existence of an unique positive solution of the stochastic model is obtained. Then we demonstrate the positive solution of the model is stochastically bounded. Besides, some sufficient conditions for population to be stochastically permanent and extinct are derived with the use of some appropriate Lyapunov functions. At last, some numerical simulations are carried out to illustrate our theoretical analysis results.
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The author is very grateful to the editors and referees for their careful reading and valuable comments that lead to significant improvement of the paper. The work is supported by the National Natural Science Foundation of China (Nos. 11701163, 11561022 and 61703150).
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Chu, Z., Wang, H., Li, Z. et al. Properties of a novel stochastic rock–paper–scissors dynamics. J. Appl. Math. Comput. 63, 341–359 (2020). https://doi.org/10.1007/s12190-020-01320-z
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DOI: https://doi.org/10.1007/s12190-020-01320-z