Geometrical analysis of a pest management model in food-limited environments with nonlinear impulsive state feedback control |
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| Authors: | Tongqian Zhang Tong Xu Junling Wang Yi Song Zhichao Jiang |
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| Affiliation: | College of Mathematics and Systems Science, Shandong University of Science and Technology,College of Mathematics and Systems Science, Shandong University of Science and Technology,College of Mathematics and Systems Science, Shandong University of Science and Technology,College of Mathematics and Systems Science, Shandong University of Science and Technology and Fundamental Science Department, North China Institute of Aerospace Engineering |
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| Abstract: | In this paper, a nonlinear impulsive state feedback control system is proposed to model an integrated pest management in food-limited environments. In the system, impulsive feedback control measures are implemented to control pests on the basis of the quantitative state of pests. Mathematically, an intuitive geometric analysis is used to indicate the existence of periodic solutions. The stability of periodic solutions is investigated by using Analogue of Poincar''{e} Criterion. At last, numerical simulations are given to verify the theoretical analysis. |
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| Keywords: | Integrated Pest Management (IPM) impulsive state feedback control limited food environment periodic solutions stability. |
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