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

GUO Zijun

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

更新时间：2023-12-11

- A Stochastic Models on PredatorPrey Systemof Two Species with RatioDependence
- Acta Scientiarum Naturalium Universitatis SunYatseni Vol. 49, Issue 2, Pages: 48-52(2010)
- 作者机构：
  
  华南农业大学应用数学研究所,广东,广州,510642
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2010，
  
  Published Online：25 March 2010，
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GUO Zijun. A Stochastic Models on PredatorPrey Systemof Two Species with RatioDependence. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 49(2):48-52(2010)
DOI：

GUO Zijun. A Stochastic Models on PredatorPrey Systemof Two Species with RatioDependence. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 49(2):48-52(2010) DOI：

摘要

研究一类比率依赖的两种群捕食者-食饵系统的随机模型。利用随机微分方程理论，通过构造Lyapunov泛函，并结合停时分析、不等式构造等技巧，证明了比率依赖的两种群捕食者—食饵随机系统整体解的存在唯一性，整体解的有界性与渐近性质。

Abstract

A class of predatorprey system of two species with ratiodependence is studied. According to the theory on stochastic differential equation

by constructing the Lyapunov function

and combining with stopping time and some analysis techniques

the existence and uniqueness of global solution for the system are proved. The boundedness and asymptotic estimate of the global solution are also discussed.

关键词

捕食者-食饵系统Brownian运动随机微分方程整体解K.itó公式

Keywords

predatorprey systemBrownian motionstochastic differential equationglobal solutionK.itó formula

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Related Institution

 2．铜仁职业技术学院

．华南农业大学应用数学研究所

School of Mathematics and Statistics， Guangdong University of Technology

School of Mathematics， Sun Yat-sen University

Stomatological Hospital， Southern Medical University

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