Stability and Hopf Bifurcation Analysis on a Bazykin Model with Delay
Keyword(s):
The dynamics of a prey-predator system with a finite delay is investigated. We show that a sequence of Hopf bifurcations occurs at the positive equilibrium as the delay increases. By using the theory of normal form and center manifold, explicit expressions for determining the direction of the Hopf bifurcations and the stability of the bifurcating periodic solutions are derived.
2013 ◽
Vol 2013
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pp. 1-11
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2019 ◽
Vol 12
(03)
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pp. 1950028
Keyword(s):
2007 ◽
Vol 17
(06)
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pp. 2149-2157
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2016 ◽
Vol 26
(03)
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pp. 1650047
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2010 ◽
Vol 2010
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pp. 1-17
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2018 ◽
Vol 23
(5)
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pp. 749-770
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2011 ◽
Vol 21
(03)
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pp. 711-724
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