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R0 Analysis of a Benthic-Drift Model for a Stream Population
时间:2018年05月09日 08:17 点击数:

报告人:黄启华

报告地点:数学与统计学院二楼会议室

报告时间:2018年05月16日星期三15:30-16:30

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报告摘要:

 One key issue for theory in stream ecology is how much stream flow can be changed while still maintaining an intact stream ecology, instream flow needs (IFNs), the study of determining IFNs is challenging due to the complex and dynamic nature of the interaction between the stream environment and the biological community. We develop a process-oriented benthic-drift model that links changes in the flow regime and habitat availability with population dynamics. In the model, the stream is divided into two zones: drift zone and benthic zone, and the population is divided into two interacting compartments: individuals residing in the benthic zone and individuals dispersing in the drift zone. We study the population persistence criteria, based on the net reproductive rate R_0 and on related measures. We develop new theory to calculate these quantities and use them  to investigate how the various flow regimes, population birth rate, individual transfer rates between zones, and river heterogeneity affect population persistence. The theory developed here provides the basis for effective decision-making tools for water managers.

主讲人简介:

黄启华,2011年8月在美国 University of Louisiana at Lafayette 获得应用数学博士学位。 2011年8月至2016年6月在加拿大 University of Alberta 生物数学中心从事博士后研究,主要合作导师为 Mark Lewis 教授(加拿大皇家科学院院士,Senior Canada Research Chair in Mathematical Biology)。2016年6月通过西南大学引进人才“聚贤工程”计划被特别评聘为教授,并于2016年9月到西南大学数学与统计学院工作。 主要研究方向为生物数学、偏微分方程和数值分析。 主要科研成果发表在 SIAM Journal on Applied Mathematics, SIAM Journal on Applied Dynamical Systems 等应用数学著名期刊以及 Theoretical Ecology, Journal of Mathematical Biology, Bulletin of Mathematical Biology, Journal of Theoretical Biology, Mathematical Biosciences 等生物数学重要期刊,其中2017年发表在 SIAM Journal on Applied Mathematics 上题为“A hybrid continuous/discrete-time model for invasion dynamics of zebra mussels in rivers”的论文被 SIAM News 的 Associate Editor专门撰文进行了报道和评论。

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