Dynamical Behaviors of a Fractional-Order Predator–Prey Model with Holling Type IV Functional Response and Its Discretization
2019 ◽
Vol 20
(2)
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pp. 125-136
Keyword(s):
Type Iv
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AbstractIn this paper, we investigate the dynamical behaviors of a fractional-order predator–prey with Holling type IV functional response and its discretized counterpart. First, we seek the local stability of equilibria for the fractional-order model. Also, the necessary and sufficient conditions of the stability of the discretized model are achieved. Bifurcation types (include transcritical, flip and Neimark–Sacker) and chaos are discussed in the discretized system. Finally, numerical simulations are executed to assure the validity of the obtained theoretical results.
2017 ◽
Vol 10
(08)
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pp. 1750119
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2020 ◽
Vol 30
(06)
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pp. 2050082
2019 ◽
Vol 29
(10)
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pp. 1950136
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2016 ◽
Vol 2016
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pp. 1-13
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2014 ◽
Vol 24
(07)
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pp. 1450093
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