科研之友
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摘要
A delayed dynamical system model incorporating modified Leslie-Gower and Holling-type II schemes with state-dependent impulses is investigated for the case of small delay. The boundedness of solutions is analyzed by applying the comparison argument. Existence and stability of the semi-trivial periodic solution and the positive period-1 solution are discussed by using the variational principle, constructing Poincare map and applying Floquet multiplier theory. Flip bifurcation is also investigated and some numerical simulation is presented in detail.
