Stability and Hopf Bifurcation in a Modified Holling-Tanner Predator-Prey System with Multiple Delays
Keyword(s):
A modified Holling-Tanner predator-prey system with multiple delays is investigated. By analyzing the associated characteristic equation, the local stability and the existence of periodic solutions via Hopf bifurcation with respect to both delays are established. Direction and stability of the periodic solutions are obtained by using normal form and center manifold theory. Finally, numerical simulations are carried out to substantiate the analytical results.
2009 ◽
Vol 02
(04)
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pp. 483-506
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2013 ◽
Vol 23
(02)
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pp. 1350023
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2012 ◽
Vol 2012
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pp. 1-28
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2012 ◽
Vol 05
(01)
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pp. 1250007
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Keyword(s):
2012 ◽
Vol 05
(03)
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pp. 1260017
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