Hopf Bifurcation of a Differential-Algebraic Bioeconomic Model with Time Delay
Keyword(s):
We investigate the dynamics of a differential-algebraic bioeconomic model with two time delays. Regarding time delay as a bifurcation parameter, we show that a sequence of Hopf bifurcations occur at the positive equilibrium as the delay increases. Using the theories of normal form and center manifold, we also give the explicit algorithm for determining the direction of the Hopf bifurcations and the stability of the bifurcating periodic solutions. Numerical tests are provided to verify our theoretical analysis.
2017 ◽
Vol 10
(05)
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pp. 1750061
2016 ◽
Vol 26
(03)
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pp. 1650047
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2020 ◽
Vol 13
(05)
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pp. 2050034
2019 ◽
Vol 12
(03)
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pp. 1950028
Keyword(s):
2019 ◽
Vol 29
(13)
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pp. 1950189
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Keyword(s):
2007 ◽
Vol 17
(06)
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pp. 2149-2157
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