The stationary distribution and ergodicity of a stochastic phytoplankton allelopathy model under regime switching
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- 作者：Yu Zhaoa ; c ; Sanling Yuan ; b ; sanling@usst.edu.cn" class="auth_mail" title="E-mail the corresponding author ; ysanling@126.com" class="auth_mail" title="E-mail the corresponding author ; Tonghua Zhangd
- 关键词：Ecotoxicology ; Phytoplankton allelopathy ; Stochastic disturbance ; Markov chain ; Stationary distribution ; 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：131-142
- 全文大小：590 K
文摘
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A stochastic phytoplankton allelopathy model, which takes both white and colored noises into account, is considered.
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The positive recurrence and ergodic property of the model, which implies the existence of stationary distribution, is proved.
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The mean and variance of the stationary distribution is established.
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Two kinds of environmental noises and toxic substances have great impacts on the evolution of the phytoplankton populations.