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Permanence and global stability in a discrete n-species competition system with feedback controls

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成果类型:
期刊论文
作者:
Liao, Xinyuan*;Zhou, Shengfan;Chen, Yuming
通讯作者:
Liao, Xinyuan
作者机构:
[Liao, Xinyuan] Univ S China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.
[Liao, Xinyuan] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China.
[Zhou, Shengfan] Shanghai Normal Univ, Math & Sci Coll, Shanghai 200234, Peoples R China.
[Chen, Yuming] Wilfrid Laurier Univ, Dept Math, Waterloo, ON N2L 3C5, Canada.
通讯机构:
[Liao, Xinyuan] U
Univ S China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.
语种:
英文
关键词:
permanence;nonautonomous;Lotka-Volterra discrete system;feedback control;global stability
期刊:
Nonlinear Analysis: Real World Applications
ISSN:
1468-1218
年:
2008
卷:
9
期:
4
页码:
1661-1671
机构署名:
本校为第一且通讯机构
院系归属:
数理学院
摘要:
In this paper, we investigate the following discrete n-species competition system with feedback controls:xi (k + 1) = xi (k) exp fenced(bi (k) - underover(∑, j = 1, n) aij (k) xj (k) - underover(∑, j = 1, j ≠i, n) cij (k) xi (k) xj (k) - di (k) ui (k)),Δui (k) = ri (k) - ei (k) ui (k) + fi (k) xi (k), i = 1, 2, ..., n,which describes the effect of toxic substances and age structures simultaneously. Some sufficient conditions are established on the permanence and the global stability of the system. These results are also applied to some special cases. ©2007 Elsevier Ltd. A...

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