Bifurcation Analysis for a Predator-Prey Model with Time Delay and Delay-Dependent Parameters
Keyword(s):
A class of stage-structured predator-prey model with time delay and delay-dependent parameters is considered. Its linear stability is investigated and Hopf bifurcation is demonstrated. Using normal form theory and center manifold theory, some explicit formulae for determining the stability and the direction of the Hopf bifurcation periodic solutions bifurcating from Hopf bifurcations are obtained. Finally, numerical simulations are performed to verify the analytical results.
2012 ◽
Vol 2012
◽
pp. 1-22
◽
Keyword(s):
2014 ◽
Vol 926-930
◽
pp. 3314-3317
Keyword(s):
2018 ◽
Vol 28
(14)
◽
pp. 1850179
◽
Keyword(s):
Keyword(s):
2009 ◽
Vol 02
(02)
◽
pp. 139-149
◽
2019 ◽
Vol 29
(04)
◽
pp. 1950055
Keyword(s):
2017 ◽
Vol 10
(06)
◽
pp. 1750079
◽
2012 ◽
Vol 2012
◽
pp. 1-17
◽