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具有Crowley-Martin型功能反应的随机捕食-被捕食系统的稳定性 被引量：2

Stability of a Stochastic Predator-prey System with Crowley-Martin Functional Response
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摘要 研究了一类具有Crowley-Martin型功能反应的随机捕食-被捕食系统,通过构造适当的Lyapunov函数,得到了系统全局随机渐近稳定性的充分条件。 A stochastic predator - prey system with Crowley - Martin functional response was studied. By constructing a suitable Lyapunov function, sufficient conditions for stochastically global asymptotic stabili ty were also established.
作者 刘显清 钟守铭 项丽江
机构地区 电子科技大学数学科学学院
出处 《西南科技大学学报》 CAS 2014年第1期82-86,共5页 Journal of Southwest University of Science and Technology
关键词 全局随机渐近稳定性 Crowley-Martin型功能反应 白噪声 ：Stochastically global asymptotic stability Crowley -Martin functional response White noise
分类号 O175.1 [理学—基础数学]
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参考文献11

  • 1LIU M, WANG K. Global stability of a nonlinear sto- chastic predator- prey system withBeddington -DeAngel is functional response[J]. Commun. Nonlinear Sci. Nu- met. Simulat,2011, (16) : 1114 - 1121.
  • 2LIU X Q, ZHONG S M, TIAN B D, et al. Asymptotic properties of a stochastic predato - rprey model with Crowley - Martin functional response [ J ]. Journal of Ap- plied Mathematics and Computing, 2013, ( 43 ) : 479 - 490. L.
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西南科技大学学报
2014年 第1期

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