Dynamics of a stochastic ratio-dependent predator-prey model

TL;DR

This paper analyzes a stochastic predator-prey model where populations depend on ratios, establishing solution properties, population moment bounds, and growth and death rates under certain conditions.

Contribution

It introduces a stochastic ratio-dependent predator-prey model and proves key properties like existence, positivity, and population dynamics behaviors.

Findings

Solutions exist, are unique, and positive.

Population moments are bounded.

Populations exhibit specific growth and death rates.

Abstract

In this paper, we consider a stochastic ratio-dependent predator-prey model. We firstly prove the existence, uniqueness and positivity of the solutions. Then, the boundedness of moments of population are studied. Finally, we show the upper-growth rates and exponential death rates of population under some conditions.