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Stochastic Dynamics of a Two-Species Patch-System With Ratio-Dependent Functional Response

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Abstract

In this paper, we analyze the features of a stochastically perturbed two-species predator-prey patch-system with ratio-dependent functional response. We first prove that the system which we investigate has a unique global positive solution. Then, the sufficient criteria for the existence and uniqueness of an ergodic stationary distribution of positive solutions to the system are presented by establishing a series of suitable Lyapunov functions.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Northeast Normal University, 5268, Renmin Street, Changchun, 130024, Jilin Province, People’s Republic of China

    Xin Zhao & Zhijun Zeng

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  1. Xin Zhao
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  2. Zhijun Zeng
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Correspondence to Zhijun Zeng.

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Zhao, X., Zeng, Z. Stochastic Dynamics of a Two-Species Patch-System With Ratio-Dependent Functional Response. Qual. Theory Dyn. Syst. 21, 58 (2022). https://doi.org/10.1007/s12346-022-00594-x

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