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Dynamic complexity of a two-prey one-predator system with impulsive effect. (English) Zbl 1076.34055
The dynamic complexity of a two-prey one-predator system with impusive perturbation on predator at fixed moments are investigated. The system displays complicated phenomena including a sequence of direct and inversecascade of periodic-doubling, chaos, and symmetry breaking bifurcation. Moreover, the effect of the period of releasing predator on the dynamical behaviors of the unforced continuous system are also discussed. They find that periodically releasing predator at fixed moments change the properties of the unforced continuous system.

MSC:
34C60 Qualitative investigation and simulation of ordinary differential equation models
92D25 Population dynamics (general)
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