The permanence and global attractivity of a competitive system with feedback controls and toxic substance

摘要

In this paper, we consider a nonautonomous competitive system with feedback controls and toxic substance. Some average couditions for the permanence and global attractivity of the system are obtained. It is shown that our results are generalization or improvement of those of Zhao, Jiang and Lazer [ Nonlinear Analysis: Real World Applications, 5 ( 4 ) ( 2004 ), 265 - 276 ], Xia, Cao, Zhang and Chen [ Journal of Mathematical Analysis and Applications ,294 (2) ( 2004 ), 503 - 522 ] and Chen [ Nonlinear Analysis: Real World Applications, in press ].