Asymptotic Behavior of a Stochastic Models on Predator-prey System of Two Species with Ratio-dependence

SHI Chao; TAN Yang; GUO Zijun

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Asymptotic Behavior of a Stochastic Models on Predator-prey System of Two Species with Ratio-dependence

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- Asymptotic Behavior of a Stochastic Models on Predator-prey System of Two Species with Ratio-dependence
- Acta Scientiarum Naturalium Universitatis SunYatseni Vol. 52, Issue 3, Pages: 67-72(2013)
- 作者机构：
  
  1. ．华南农业大学应用数学研究所,广东,广州,510642
  2.  2．铜仁职业技术学院,贵州,铜仁,554300
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2013，
  
  Published Online：25 May 2013，
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SHI Chao, TAN Yang, GUO Zijun. Asymptotic Behavior of a Stochastic Models on Predator-prey System of Two Species with Ratio-dependence. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 52(3):67-72(2013)
DOI：

SHI Chao, TAN Yang, GUO Zijun. Asymptotic Behavior of a Stochastic Models on Predator-prey System of Two Species with Ratio-dependence. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 52(3):67-72(2013) DOI：

摘要

在考虑有随机干扰的情况下，对基于比率依赖的两种群捕食者-食饵系统的性质进行了研究。首先通过随机微分方程理论建立此系统的随机模型，并利用构造V函数，结合停时、常用不等式、It o^公式等技巧和方法对此系统的性质进行了讨论。最后，在假设条件下，得到了基于比率依赖的两种群捕食者-食饵系统的随机最终有界、解的渐近矩估计和轨道估计等性质。

Abstract

A stochasitc models on predator-prey system of two species with ratio-dependence is studied.The property of stochastic ultimate boundedness

the asymptotic moment estimation and the pathwise estimation of the global solution are studied by five techniques

including the theory on stochastic differential equation constructs stochasitc models

the V function

stopping time

some inequalties and It o^ formula.

关键词

捕食者-食饵系统随机微分方程It o^ 公式随机最终有界渐近矩估计轨道估计

Keywords

predatorprey systemstochastic differential equationIt o^ formulastochastic ultimate boundednessasymptotic moment estimationpathwise estimation

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A Stochastic Models on PredatorPrey Systemof Two Species with RatioDependence

Related Author

GUO Zijun

Related Institution

Institute of Applied Mathematics, SouthChina Agriculity University

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