Existence and stability of periodic solution of a predator–prey model with state-dependent impulsive effects

Linfei Nie, Zhidong Teng, Lin Hu and Jigen Peng

Mathematics and Computers in Simulation (MATCOM), 2009, vol. 79, issue 7, 2122-2134

Abstract: According to integrated pest management for pests, we investigate the dynamic behavior of a class predator–prey system with state-dependent impulsive effects by releasing natural enemies and spraying pesticide at different thresholds. Using the Poincaré map and the properties of the Lambert W function, we prove the sufficient conditions for the existence and stability of semi-trivial solutions and positive periodic solutions. Numerical results are carried out to illustrate the feasibility of our main results.

Keywords: Impulsive state feedback control; Lambert W function; Stability (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:79:y:2009:i:7:p:2122-2134

DOI: 10.1016/j.matcom.2008.11.015

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