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ANALYSIS OF A DELAYED PREDATOR-PREY SYSTEM WITH IMPULSIVE STATE FEEDBACK

ZHICONG LI

School of Science, Hebei University of Science and Technology, Shijiazhuang 050018, China

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QISHAO LU

School of Science, Beijing University of Aeronautics and Astronautics, Beijing 100083, China

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https://doi.org/10.1142/S0218339009002867Cited by:1 (Source: Crossref)

Abstract

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 Poincaré map and applying Floquet multiplier theory. Flip bifurcation is also investigated and some numerical simulation is presented in detail.

Keywords:

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