Anh Tuan Trinh
The existence of positive periodic solutions of a periodic Lotka-Volterra type competition system with delays and feedback controls is studied by applying the continuation theorem of coincidence degree theory. By contracting a suitable Liapunov functional, a set of sufficient conditions for the global asymptotic stability of the positive periodic solution of the system is given. A counterexample is given to show that the result on the existence of positive periodic solution in  is incorrect.
Submitted January 8, 2013. Published November 26, 2013.
Math Subject Classifications: 34K13, 92B05, 92D25, 93B52.
Key Words: Lotka-Volterra competition system; time delay; feedback control; positive periodic solution; global asymptotic stability; continuation theorem.
Show me the PDF file (249 KB), TEX file, and other files for this article.
| Anh Tuan Trinh |
Department of Mathematics
Hanoi National University of Education
136 Xuan Thuy Road, Hanoi, Vietnam
Return to the EJDE web page