A predator-prey model of Holling-type II with state dependent impulsive effects

Changming Ding, Zhongxin Zhang

DOI: http://dx.doi.org/10.12775/TMNA.2015.045

Abstract


We investigate a predator-prey model with state dependent impulsive effects, which is based on a modified version of the Leslie-Gower scheme and on the Holling-type II scheme. Using topological methods, we present some sufficient conditions to guarantee the existence and asymptotical stability of semi-trivial periodic solutions and positive periodic solutions, respectively.

Keywords


Impulsive differential equations, state dependent,predator-prey system, periodic solution

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