Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
472852 | Computers & Mathematics with Applications | 2006 | 24 Pages |
Abstract
In this paper, based on the comparison theorem and Lyapunov method, we study the following periodic Lotka-Volterra model with m-predators and n-preys by “pure-delay type”:x˙i(t)=xi(t)bi(t)−∑k=1naik(t)xk(t−Tik)−∑l=1mcil(t)yl(t−σil), i=1,2,…,n,y˙j(t)=yj(t)−rj(t)+∑k=1ndjk(t)xk(t−ξjk)−∑l=1mejl(t)yl(t−ηjl), j=1,2,…,m.By proposing a new concept of generalized uniform M-matrix, a set of easily verifiable sufficient conditions are obtained for the existence and global attractivity of a unique positive periodic solution of the above model. The obtained results improve and generalize some known results.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Yonghui Xia, Jinde Cao,