Conformable Fractional Order Lotka–Volterra Predator–Prey Model: Discretization, Stability and Bifurcation
2019 ◽
Vol 14
(11)
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Keyword(s):
Abstract The purpose of this study is to discuss dynamic behaviors of conformable fractional-order Lotka–Volterra predator–prey system. First of all, the piecewise constant approximation is used to obtain the discretize version of the model then, we investigate stability, existence, and direction of Neimark–Sacker bifurcation of the positive equilibrium point of the discrete system. It is observed that the discrete system shows much richer dynamic behaviors than its fractional-order form such as Neimark–Sacker bifurcation and chaos. Finally, numerical simulations are used to demonstrate the accuracy of analytical results.
2012 ◽
Vol 2012
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pp. 1-12
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2012 ◽
Vol 05
(02)
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pp. 1250023
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2020 ◽
Vol 25
(2)
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Keyword(s):
2012 ◽
Vol 05
(06)
◽
pp. 1250060
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