Stability and Bifurcation Analysis in a Stage-Structured Predator-Prey Model with Delay
2014 ◽
Vol 513-517
◽
pp. 3723-3727
Keyword(s):
The Past
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Hopf bifurcation occurs in most of dynamics systems when the influence from the past state varies. In modeling population dynamics, it is more reasonable taking into account the time delays. In this paper, a stage-structured predator-prey system with delay is considered. The existence of Hopf bifurcations at the positive equilibrium is established by analyzing the distribution of the characteristic values. An explicit algorithm for determining the direction of the Hopf bifurcation and the stability of the bifurcating periodic solutions are derived by using the normal form and the center manifold theory. Numerical simulations to support the analytical conclusions are carried out.
2012 ◽
Vol 05
(01)
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pp. 1250007
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Keyword(s):
2009 ◽
Vol 02
(04)
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pp. 483-506
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2012 ◽
Vol 2012
◽
pp. 1-22
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Keyword(s):
Keyword(s):
Keyword(s):
2016 ◽
Vol 26
(10)
◽
pp. 1650165
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