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基于比率依赖的两种群捕食者—食饵系统的随机模型的渐近性质 被引量：3

Asymptotic Behavior of a Stochastic Models on Predator-prey System of Two Species with Ratio-dependence
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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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。 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 inequahies and Ito formula.
作者 史超 谭杨 郭子君
机构地区 华南农业大学应用数学研究所 铜仁职业技术学院
出处 《中山大学学报（自然科学版）》 CAS CSCD 北大核心 2013年第3期67-72,共6页 Acta Scientiarum Naturalium Universitatis Sunyatseni
基金 国家自然科学基金资助项目(30971694)
关键词 捕食者一食饵系统 随机微分方程 It6公式 predator-prey system stochastic differential equation Ito formula stochastic ultimate boundedness asymptotic moment estimation pathwise estimation
分类号 O211.63 [理学—概率论与数理统计] O175.8 [理学—基础数学]
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参考文献9

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共引文献2

同被引文献21

  • 1孙树林,原存德.捕食者具有流行病的捕食-被捕食(SI)模型的分析[J].生物数学学报,2006,21(1):97-104. 被引量：51
  • 2康玲,王乘,姜铁兵.Volterra神经网络水文模型及应用研究[J].水力发电学报,2006,25(5):22-26. 被引量：9
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引证文献3

二级引证文献2

中山大学学报（自然科学版）
2013年 第3期

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