the predator-prey discrete system codimention- 2 bifurcations
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Abstract:
A discrete predator-prey system is presented. We study the existence and stability of the fixed point system. The conditions of existence of Flip and Neimark-sacker bifurcation is the system are derived. By using numerical continuation methods and MatContM toolbox. We compute bifurcation curves of fixed points and cycles with periods up to 32 under variation of one and to parameters, and compute all condimension 1 and codimention 2 bifurcations that branch off from the detected codimension 2 bifurcation points. Numerical simulations confirm results and reveal future complet dynamical behaviours.
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Journal title
volume 8 issue 2
pages 0- 0
publication date 2022-05
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