Journal
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS
Volume 21, Issue 3, Pages -Publisher
SPRINGER BASEL AG
DOI: 10.1007/s12346-022-00594-x
Keywords
Stochastic two-species predator-prey patch-model; Diffusion; Ratio-dependent functional response; Stationary distribution; Ergodicity
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This paper analyzes the features of a stochastically perturbed two-species predator-prey patch-system with ratio-dependent functional response. It proves that the system has a unique global positive solution and presents sufficient criteria for the existence and uniqueness of an ergodic stationary distribution of positive solutions to the system by establishing a series of suitable Lyapunov functions.
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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