Stability and Bifurcation in a State-Dependent Delayed Predator–Prey System
2016 ◽
Vol 26
(04)
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pp. 1650060
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Keyword(s):
In this paper, we consider a class of predator–prey equations with state-dependent delayed feedback. Firstly, we investigate the local stability of the positive equilibrium and the existence of the Hopf bifurcation. Then we use perturbation methods to determine the sub/supercriticality of Hopf bifurcation and hence the stability of Hopf bifurcating periodic solutions. Finally, numerical simulations supporting our theoretical results are also provided.
2012 ◽
Vol 2012
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pp. 1-28
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Keyword(s):
2016 ◽
Vol 26
(10)
◽
pp. 1650165
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2015 ◽
Vol 2015
◽
pp. 1-15
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2020 ◽
Vol 30
(06)
◽
pp. 2050082
2020 ◽
Vol 25
(2)
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Keyword(s):
Keyword(s):
2019 ◽
Vol 2019
◽
pp. 1-16