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Some results on Leslie-Gower Competition Models
发布时间: 2018-09-05     17:54   【返回上一页】 发布人:Yunshyong Chow


北京师范大学数学科学学院

 

随机数学研究中心学术报告

 

 

报告题目:Some results on Leslie-Gower Competition Models

 

报告人:Yunshyong Chow (Institute of Mathematics Aademia Sinica)

 

时间地点:9月6日下午14:30, 后主楼1220B 

 

邀请人: 陈木法

 

摘要: Leslie-Gower competition models in discrete time can be described by 

xi(t+1)=λixi(t)/(d+sum_{j=1}^ncij xj(t)),      1<=i <=n

Here xi(t) is the population size of species at time tλthe reproduction rate of species and cij interspecific coefficient. By rescaling we may assume d= 1 andcii = 1. Then λ− 1 is the carrying capacity of species i. While the global behavior of the system above for = 2 is well known, that for n>=3 is mainly open. In this talk, we will show the global behavior for some special cases. Recent breakthrough by Balreira, Elaydi and Luis in JDEA 23 (2017) will be mentioned.