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Dynamics analysis of a Filippov Lymantria dispar-Great tit model with double Allee effects and two-thresholds control

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  • Kong, Xiaoquan
  • Yang, Ruizhi

Abstract

This study focuses on the Lymantria dispar-Great tit ecosystem, constructing a Filippov model with double Allee effects and proposing an integrated control strategy based on two thresholds for both pest density and natural enemy abundance. Through stability analysis of equilibria and sliding mode dynamics, the study reveals the existence of multiple sliding segments and pseudo-equilibria in the system, which can induce rich sliding bifurcation behaviors. Further investigation uncovers complex dynamical patterns under different threshold conditions, including sliding bifurcations as well as local and global bifurcations. Partial Rank Correlation Coefficient based global sensitivity analysis identifies key parameters influencing the system dynamics. The research demonstrates that appropriate setting of these two thresholds is crucial for achieving sustainable control of Lymantria dispar, while the synergistic effect of biological control and natural enemy release is essential for maintaining ecological balance.

Suggested Citation

  • Kong, Xiaoquan & Yang, Ruizhi, 2026. "Dynamics analysis of a Filippov Lymantria dispar-Great tit model with double Allee effects and two-thresholds control," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 246(C), pages 25-43.
    • Handle: RePEc:eee:matcom:v:246:y:2026:i:c:p:25-43
    DOI: 10.1016/j.matcom.2026.01.028
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    References listed on IDEAS

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    1. Jiao, Xubin & Liu, Xiuxiang, 2024. "Rich dynamics of a delayed Filippov avian-only influenza model with two-thresholds policy," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    2. Jiao, Xubin & Li, Xiaodi & Yang, Youping, 2022. "Dynamics and bifurcations of a Filippov Leslie-Gower predator-prey model with group defense and time delay," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
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    5. Tang, Sanyi & Xiao, Yanni & Cheke, Robert A., 2010. "Dynamical analysis of plant disease models with cultural control strategies and economic thresholds," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 80(5), pages 894-921.
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