Periodicity in a ratio-dependent predator-prey system with stage structure for predator
2005 ◽
Vol 2005
(2)
◽
pp. 153-169
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Keyword(s):
With the help of a continuation theorem based on Gaines and Mawhin's coincidence degree, easily verifiable criteria are established for the global existence of positive periodic solutions of a delayed ratio-dependent predator-prey system with stage structure for predator. The approach involves some new technique of priori estimate. For the system without delay, by constructing a suitable Lyapunov function, some sufficient conditions which guarantee the existence of a unique global attractive positive periodic solution are obtained. Those results have further applications in population dynamics.
2008 ◽
Vol 01
(03)
◽
pp. 339-354
◽
2013 ◽
Vol 291-294
◽
pp. 2412-2415
2009 ◽
Vol 02
(04)
◽
pp. 419-442
◽
2011 ◽
Vol 2011
◽
pp. 1-28
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2003 ◽
Vol 133
(1)
◽
pp. 97-118
◽
Keyword(s):
2012 ◽
Vol 05
(02)
◽
pp. 1250031
2004 ◽
Vol 2004
(2)
◽
pp. 325-343
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