PERSISTENCE AND GLOBAL STABILITY FOR A CLASS OF DISCRETE TIME STRUCTURED POPULATION MODELS
讲座名称：
PERSISTENCE AND GLOBAL STABILITY FOR A CLASS OF DISCRETE TIME STRUCTURED POPULATION MODELS
讲座时间：
2013-10-15
讲座人：
Hal Smith
形式：
校区：
兴庆校区
实践学分：
讲座内容：
题 目：PERSISTENCE AND GLOBAL STABILITY FOR A CLASS OF DISCRETE TIME STRUCTURED POPULATION MODELS
主讲人：Hal Smith 教授
单 位：美国 Arizona State University
时 间：2013年10月15日上午 9:00
地 点：理科楼-202
摘 要：We obtain sharp conditions distinguishing extinction from persistence and provide sufficient conditions for global stability of a positive fixed point for a class of discrete time dynamical systems on the positive cone of an ordered Banach space generated by a map which is, roughly speaking, a nonlinear, rank one perturbation of a linear contraction. Such maps were considered by Rebarber, Tenhumberg, and Towney (Theor. Pop. Biol. 81, 2012) as abstractions of a restricted class of density dependent integral population projection models modeling plant population dynamics. Significant improvements of their results are provided.
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