Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
839091 | Nonlinear Analysis: Real World Applications | 2008 | 11 Pages |
Abstract
In this paper, we investigate the following discrete n-species competition system with feedback controls:xi(k+1)=xi(k)expbi(k)-∑j=1naij(k)xj(k)-∑j=1,j≠incij(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.
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Authors
Xinyuan Liao, Shengfan Zhou, Yuming Chen,