Dynamics of stochastic predator-prey models with Holling II functional response
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- 作者：Qun Liua ; Li Zub ; Daqing Jiang ; c ; d ; daqingjiang2010@hotmail.com" class="auth_mail" title="E-mail the corresponding author ; jiangdq067@nenu.edu.cn" class="auth_mail" title="E-mail the corresponding author
- 关键词：Stochastic predator&ndash ; prey model ; Pathwise estimation ; Ultimate boundedness ; Stationary distribution and ergodicity
- 刊名：Communications in Nonlinear Science and Numerical Simulation
- 出版年：2016
- 出版时间：August 2016
- 年：2016
- 卷：37
- 期：Complete
- 页码：62-76
- 全文大小：592 K
文摘
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Stochastic predator-prey models with Holling II functional response are studied.
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Asymptotic moment estimations of the positive solutions and the ultimately bounded in the mean of them are investigated.
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We verify that there are unique stationary distributions and they are ergodic.
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The results show that the systems still retain some stability in the sense of weak stability provided that the intensity of the white noise is relatively small.