Dynamics of a pest management model with nonlinearly impulsive releasing two types of natural enemies and their interspecific cooperation

Lin Wu, Jianjun Jiao, Qi Quan and Hongyan Sun

Chaos, Solitons & Fractals, 2025, vol. 199, issue P3

Abstract: In this paper, a pest management model with nonlinearly impulsive releasing two types of natural enemies and their interspecific cooperation is established. The conditions of global asymptotic stability of pest-free period solution are obtained by comparison theorem and Floquet theory. We also obtained the conditions for the system persistence. Thereby, the control threshold for pest extinction is derived. In addition, we derive the condition for a stable positive periodic solution bifurcating from pest-free period solution under certain critical parameter values via a supercritical bifurcation. Then, we provided the biological interpretations of the mathematical results. Finally, we numerically validated the theoretical results, obtained key parameters affecting the pest extinction threshold through sensitivity analysis, and revealed rich dynamical properties of the system by bifurcation diagrams.

Keywords: Pest management; Global asymptotic stability; Control threshold; Positive periodic solution; Supercritical bifurcation (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:199:y:2025:i:p3:s0960077925008185

DOI: 10.1016/j.chaos.2025.116805

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