ANALYSIS OF A DELAYED PREDATOR-PREY SYSTEM WITH IMPULSIVE STATE FEEDBACK
2009 ◽
Vol 17
(02)
◽
pp. 303-317
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Keyword(s):
A delayed dynamical system model incorporating modified Leslie–Gower and Holling-type II schemes with state-dependent impulses is investigated for the case of small delay. The boundedness of solutions is analyzed by applying the comparison argument. Existence and stability of the semi-trivial periodic solution and the positive period-1 solution are discussed by using the variational principle, constructing Poincaré map and applying Floquet multiplier theory. Flip bifurcation is also investigated and some numerical simulation is presented in detail.
2010 ◽
Vol 234
(10)
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pp. 2916-2923
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Keyword(s):
2020 ◽
Vol 30
(16)
◽
pp. 2050243
2011 ◽
Vol 130-134
◽
pp. 385-390
2012 ◽
Vol 05
(03)
◽
pp. 1260006
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2010 ◽
Vol 2010
◽
pp. 1-24
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2017 ◽
Vol 37
(10)
◽
pp. 5433-5454
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Keyword(s):
2021 ◽
Vol 53
(2)
◽
pp. 261-285
Keyword(s):