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A mathematical model of algae growth in a pelagic-benthic coupled shallow aquatic ecosystem
时间:2017年03月06日 17:01 点击数:

报告人:张继民

报告地点:数学与统计学院二楼会议室

报告时间:2017年03月09日星期四15:00-16:30

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报告摘要:

A coupled system of ordinary differential equations and partial differential equations is proposed to describe the interaction of pelagic algae, benthic algae and one essential nutrient in an oligotrophic shallow aquatic ecosystem with ample supply of light. The existence and uniqueness of non-negative steady states are completely classified for all possible parameter range, and these results characterize sharp threshold conditions for the regime shift from extinction to coexistence of pelagic and benthic algae. The influence of environmental parameters on algal biomass density is also considered, which is an important indicator of algal blooms. Our studies suggest that the nutrient recycling from loss of algal biomass may be an important factor in the algal blooms process; and the presence of benthic algae may limit the pelagic algal biomass density as they consume common resources even if the sediment nutrient level is high.

 

主讲人简介:

张继民,黑龙江大学数学科学学院教授,2010年毕业于东北师范大学数学与统计学院, 主要从事指数型二分性、湖泊藻类水华等方面的研究工作,主持和参加多项国家自然科学基金,中国博士后基金,黑龙江省自然科学基金,曾在Journal of Statistical Physics,Journal of Dynamics and Differential Equation,Nonlinear Analysis TMA等杂志发表多篇SCI收录论文。

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