In this paper, the existence of positive periodic solutions of a
class of periodic $n$-species Gilpin-Ayala impulsive competition
systems is studied. By using the continuation theorem of
coincidence degree theory, a set of easily verifiable sufficient
conditions is obtained. Our results are general enough to include
some known results in this area.
Citation: Meili Li, Maoan Han, Chunhai Kou. The existence of positive periodic solutions of a generalized[J]. Mathematical Biosciences and Engineering, 2008, 5(4): 803-812. doi: 10.3934/mbe.2008.5.803
Abstract
In this paper, the existence of positive periodic solutions of a
class of periodic $n$-species Gilpin-Ayala impulsive competition
systems is studied. By using the continuation theorem of
coincidence degree theory, a set of easily verifiable sufficient
conditions is obtained. Our results are general enough to include
some known results in this area.