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

• Zhao, Xin ^[1] ; Zeng, Zhijun ^[1]
  1. [1] Northeast Normal University

     Northeast Normal University

     China

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 21, Nº 3, 2022
• Idioma: inglés
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• Resumen

  • 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.