Break-even concentration and periodic behavior of a stochastic chemostat model with seasonal fluctuation
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- 作者：Dianli Zhao ; tc_zhaodianli@139.com" class="auth_mail" title="E-mail the corresponding author ; Sanling Yuan math-ysling@163.com" class="auth_mail" title="E-mail the corresponding author
- 关键词：Stochastic chemostat model ; Break-even concentration ; Periodic solution ; Global attractivity
- 刊名：Communications in Nonlinear Science and Numerical Simulation
- 出版年：2017
- 出版时间：May 2017
- 年：2017
- 卷：46
- 期：Complete
- 页码：62-73
- 全文大小：1414 K
文摘
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The studied chemostat model includes the stochastic perturbation and seasonal fluctuation.
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A modified break-even concentration is given, which can determine whether microorganism will persist or not.
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In case of persistence, existence of the random positive periodic solution is proved.
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Under some mild extra condition, the random periodic solution is globally attractive.