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Prof. Lin Wang, University of New Brunswick:Logistic Equations: from ODE to DDE

([西财新闻] 发布于 :2018-06-12 )

光华讲坛——社会名流与企业家论坛第5003

 

题:Logistic Equations: from ODE to DDE

主讲人Prof. Lin Wang, University of New Brunswick

主持人:经济数学学院 马敬堂教授

间:2018614日(星期四)15:00-16:00

点:西南财经大学柳林校区通博B412

主办单位:经济数学学院  科研处

 

主讲人简介:

王林, 2003年纽芬兰纪念大学博士毕业现为加拿大新不伦瑞克大学教授.

主要研究领域为生物数学、神经网络、流行病学 和计量经济学等。主持10余项国家基金,发表论文70余篇。

内容提要:

In this talk, I first briefly introduce the development on logistic equations. Then I will report our recent work on alternative single species logistic distributed delay differential equation (DDE) with decay-consistent delay in growth. We establish a threshold for survival and extinction: In the former case, it is confirmed using Lyapunov functionals that the population approaches the delay modified carrying capacity; in the later case the extinction is proved by the fluctuation lemma. We further use adaptive dynamics to conclude that the evolutionary trend is to make the mean delay in growth as short as possible.

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