Existence and Global Attractivity of Positive Periodic Solutions for a Two-Species Competitive System with Stage Structure and Impulse
2011 ◽
Vol 2011
◽
pp. 1-28
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Keyword(s):
A class of nonautonomous two-species competitive system with stage structure and impulse is considered. By using the continuation theorem of coincidence degree theory, we derive a set of easily verifiable sufficient conditions that guarantee the existence of at least a positive periodic solution, and, by constructing a suitable Lyapunov functional, the uniqueness and global attractivity of the positive periodic solution are presented. Finally, an illustrative example is given to demonstrate the correctness of the obtained results.
2010 ◽
Vol 140
(5)
◽
pp. 1061-1080
◽
2010 ◽
Vol 2010
◽
pp. 1-22
◽
2005 ◽
Vol 2005
(2)
◽
pp. 153-169
◽
2012 ◽
Vol 05
(02)
◽
pp. 1250031
2013 ◽
Vol 2013
◽
pp. 1-11
◽
2013 ◽
Vol 291-294
◽
pp. 2412-2415
2009 ◽
Vol 02
(04)
◽
pp. 419-442
◽
2006 ◽
Vol 2006
◽
pp. 1-16