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Vietnam Journal of Mathematics 40:4(2012)
453-467
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Positive Periodic Solutions of n-Species
Lotka-Volterra Cooperative Systems with Delays
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Ahmadjan Muhammadhaji and Zhidong Teng
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College of Mathematics and System Science,
Xinjiang University,
Xinjiang,
Urumqi 830046, People’s Republic of China
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Received November 30,
2011
Revised January 9,
2012
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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.
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2000 Mathematics
Subject Classification. 34K13, 34D05, 34A34.
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Keywords.
Lotka-Volterra cooperative system, continuation theorem, positive periodic
solution, distributed delay.
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Established
by Vietnam Academy of Science and Technology &
Vietnam Mathematical Society
Published by
Springer since January 2013
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