DYNAMICS ON A HOLLING II PREDATOR–PREY MODEL WITH STATE-DEPENDENT IMPULSIVE CONTROL
2012 ◽
Vol 05
(03)
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pp. 1260006
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Keyword(s):
According to biological and chemical control strategy for pest control, a Holling II functional response predator–prey system concerning state-dependent impulsive control is investigated. We define the successor functions of semi-continuous dynamic system and give an existence theorem of order 1 periodic solution of such a system. By means of sequence convergence rules and qualitative analysis, we successfully get the conditions of existence and attractiveness of order 1 periodic solution. Our results show that our method used in this paper is more efficient and easier than the existing methods to prove the existence and attractiveness of order 1 periodic solution.
2012 ◽
Vol 2012
◽
pp. 1-21
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2010 ◽
Vol 234
(10)
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pp. 2916-2923
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Keyword(s):
2011 ◽
Vol 130-134
◽
pp. 385-390
2006 ◽
Vol 193
(1)
◽
pp. 347-362
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2009 ◽
Vol 02
(04)
◽
pp. 419-442
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