Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1141146 | Mathematics and Computers in Simulation | 2009 | 13 Pages |
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.
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Control and Systems Engineering
Authors
Linfei Nie, Zhidong Teng, Lin Hu, Jigen Peng,