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“数理论坛”第6期:学术报告

发布人:发表时间:2015-06-01点击:

The DeAngelis–Beddington functional response and the

evolution of timidity of the prey

时间:201562(星期二)下午330-430

地点:基础楼2楼报告厅

报告人:Stefanus Geritz (University of Helsinki, Finland)

报告摘要:We study the evolution of “timidity” of the prey (i.e., its readiness to seek refuge) in a predator–prey model with the DeAngelis–Beddington functional response. Using the theory of adaptive dynamics, we find that a predator–prey population at equilibrium always favours less timidity. Low levels of timidity, however, may destabilise the population and lead to cycles. Large-amplitude cycles favour a positive level of timidity, but if such cycles do not occur, timidity will evolve all the way to zero, where the prey no longer responds to the predator by seeking refuge, and in which case the DeAngelis– Beddington functional response has become identical to the Holling type–II functional response.

报告人简介:

Stefanus Geritz 教授,2001-2004年任职于芬兰图尔库大学数学学院,2005年至今任职于芬兰赫尔辛基大学数学与统计学院,主要从事应用数学方面的研究,主要研究领域为生态模型、随机过程、人口动力学、自适应动力学等。在国际期刊上已发表33篇论文,被引用次数为2233次,平均每篇文章被引用68次,h-index17。另外撰写的5本书籍中的章节被发表。曾担任过《Journal of Theoretical Biology》、《Journal of Biological Dynamics》杂志的编辑;自2005年以来,一直是《Theory in Biosciences(Elsevier)编辑委员会成员。