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Comment on “Existence and stability of periodic solution of a Lotka-Volterra predator-prey model with state dependent impulsive effects” [J. Comput. Appl. Math. 224 (2009) 544-555] |
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| Authors: | Yuan Tian Kaibiao Sun |
| Institution: | a School of Information Engineering, Dalian University, Dalian 116622, People’s Republic of China b School of Mathematical Science, Dalian University of Technology, Dalian 116024, People’s Republic of China c School of Control Science and Engineering, Dalian University of Technology, Dalian 116024, People’s Republic of China |
| Abstract: | In this paper, according to integrated pest management principles, a class of Lotka-Volterra predator-prey model with state dependent impulsive effects is presented. In this model, the control strategies by releasing natural enemies and spraying pesticide at different thresholds are considered. The sufficient conditions for the existence and stability of the positive order-1 periodic solution are given by the Poincaré map and the properties of the LambertW function. |
| Keywords: | 34D05 34D30 |
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