POSITIVE PERIODIC SOLUTIONS FOR A GENERALIZED IMPULSIVE N-SPECIES GILPIN–AYALA COMPETITION SYSTEM WITH CONTINUOUSLY DISTRIBUTED DELAYS ON TIME SCALES
2011 ◽
Vol 04
(01)
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pp. 23-34
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Keyword(s):
In this paper, we study a generalized impulsive n-species Gilpin–Ayala competition system with continuously distributed delays on time scales in periodic environment, which is more general and more realistic than the classical Lotka–Volterra competition system. By using a fixed point theorem of strict-set-contraction, some sufficient conditions are obtained for the existence of at least one positive periodic solution. Finally, we present an example to illustrate that our results are effective.
2006 ◽
Vol 73
(2)
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pp. 175-182
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