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Analysis of a delayed predator-prey system with impulsive state feedback

Zhicong Li;Qi Wang;Qishao Lu School of Science;Beijing University of Aeronautics and Astronautics;Beijing 100083;China

  A delayed dynamical system modeling a modied Leslie-Gower and Holling-type II schemes under state-dependent impulses is investigated.We analyze the boundedness of solutions by applying the comparision argument.Moreover,the existence and stability of semi-trivial solutions and positive period-1 solutions for smaller delay are discussed by using the invariant principle and the Poincar e map.We also present some numerical simulation in detail.It is shown that chaotic solutions can be generated via a cascade of period-doubling bifurcations.……