4.7 Article

Global dynamics of a filippov predator-prey model with two thresholds for integrated pest management

期刊

CHAOS SOLITONS & FRACTALS
卷 157, 期 -, 页码 -

出版社

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.chaos.2022.111881

关键词

Integrated pest management; Filippov model; Sliding mode dynamics; Multi-attractors; Numerical simulation

资金

  1. National Natu-ral Science Foundation of China [12171056]
  2. Natural Science Foundation of Hunan Province , China [2021JJ30698]
  3. Science Foundation of Zhejiang Sci-Tech Univer-sity (ZSTU) [11433132612145]

向作者/读者索取更多资源

Based on the integrated pest management strategy, this study proposes and analyzes a Filippov predator-prey model, and investigates its dynamics and control strategies. The results show that proper control strategies can prevent the outbreak of pest disaster.
Based on the integrated pest management strategy, we propose and analyze a Filippov predator-prey model. Different from existing works, the feature of the model is that two thresholds are involved, one (x(T)) for pest and the other (y(T)) for natural enemy. We distinguish three cases according to the value of x(T). Then we classify the dynamics for each case considering the relationship of the levels of the natural enemy at equilibria to y(T) by applying Filippov theory. Specifically, we investigate the sliding mode dynamics and global dynamics. It is shown that, for different parameter values, the proposed system can admit coexistence of multi-attractors including a real equilibrium, a pseudo-equilibrium, and a pseudo-attractor (x(T), y(T)). These theoretical results are also illustrated with numerical simulations. Our findings indicate that proper control strategies can prevent the outbreak of pest disaster in ecological agriculture. (C)& nbsp;2022 Elsevier Ltd. All rights reserved.

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