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

Wenxiu Li, Yuming Chen, Lihong Huang and Jiafu Wang

Chaos, Solitons & Fractals, 2022, vol. 157, issue C

Abstract: 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 (xT) for pest and the other (yT) for natural enemy. We distinguish three cases according to the value of xT. Then we classify the dynamics for each case considering the relationship of the levels of the natural enemy at equilibria to yT 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 (xT,yT). 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.

Keywords: Integrated pest management; Filippov model; Sliding mode dynamics; Multi-attractors; Numerical simulation (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:157:y:2022:i:c:s0960077922000923

DOI: 10.1016/j.chaos.2022.111881

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