PERMANENCE IN A PERIODIC PREDATOR–PREY SYSTEM WITH PREY DISPERSAL AND PREDATOR DENSITY-INDEPENDENT
2006 ◽
Vol 14
(04)
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pp. 491-507
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Keyword(s):
In this paper, we study two-species predator–prey Lotka–Volterra-type dispersal system with periodic coefficients, in which the prey species can disperse among n-patches, but the predator species which is density-independent is confined to some patches and cannot disperse. By utilizing the analytic method, sufficient and realistic conditions on the boundedness, permanence, extinction, and the existence of positive periodic solution are established. The theoretical results are confirmed by a special example and numerical simulations.
Keyword(s):
2003 ◽
Vol 133
(1)
◽
pp. 97-118
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Keyword(s):
2005 ◽
Vol 2005
(2)
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pp. 153-169
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2008 ◽
Vol 01
(03)
◽
pp. 339-354
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2013 ◽
Vol 291-294
◽
pp. 2412-2415
2009 ◽
Vol 02
(04)
◽
pp. 419-442
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