Complex dynamics of a discrete-time prey-predator system with Allee effect
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In this paper, we investigate the stability and bifurcation of a discrete-time prey-predator system which is subject to an Allee effect on prey population. It is concluded that the system undergoes flip and Neimark- Sacker bifurcations in a small neigborhood of the unique positive fixed point which depends on the number of prey-predator. The chaotic behavior that emerges with Neimark-Sacker bifurcation is controlled by the OGY method and hybrid control method. Moreover, the numerical simulations are done to demonsrate the theoratical results.
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2021 ◽
Vol 87
(2)
◽
pp. 415-439
2014 ◽
Vol 24
(09)
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pp. 1450106
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2020 ◽
Vol 13
(04)
◽
pp. 2050022
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2014 ◽
Vol 1006-1007
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pp. 711-714
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