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Vietnam Journal of Mathematics 40:4(2012) 453-467

 

Positive Periodic Solutions of n-Species

Lotka-Volterra Cooperative Systems with Delays

Ahmadjan Muhammadhaji and Zhidong Teng

College of Mathematics and System Science, Xinjiang University,

Xinjiang, Urumqi 830046, People’s Republic of China

Received November 30, 2011

Revised January 9, 2012

Abstract. In this paper, a class of periodic n species cooperative Lotka-Volterra population systems with distributed delays is discussed. Based on the continuation theorem of the coincidence degree theory developed by Gaines and Mawhin, some new sufficient conditions on the existence of positive periodic solutions are established.

2000 Mathematics Subject Classification. 34K13, 34D05, 34A34.

Keywords. Lotka-Volterra cooperative system, continuation theorem, positive periodic solution, distributed delay.

 

 

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