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In this paper, a chemostat model with Beddington-DeAnglis uptake function and impulsive state feedback control is considered. We obtain sufficient conditions of the global asymptotical stability of the system without impulsive state feedback control. We also obtain that the system with impulsive state feedback control has periodic solution of order one.(More)
In this paper, a delayed ratio-dependent Holling-III predator-prey system with stage-structured and impulsive stocking on predator and continuous harvesting on prey is considered. We obtain sufficient conditions of the global attractivity of prey-extinction periodic solution and the permanence of the system. These results show that the behavior of impulsive(More)
In this contribution, the dynamic behaviors of a turbidostat model with discrete delay are investigated. With the delay of digestion chosen to be a bifurcation parameter, we find that Hopf bifurcations occur when the delay crosses some critical values. Also, by employing the normal form theory and the center manifold theorem, we determine the type and(More)
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