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

Author

Listed:
  • Wu, Lin
  • Jiao, Jianjun
  • Quan, Qi
  • Sun, Hongyan

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.

Suggested Citation

  • Wu, Lin & Jiao, Jianjun & Quan, Qi & Sun, Hongyan, 2025. "Dynamics of a pest management model with nonlinearly impulsive releasing two types of natural enemies and their interspecific cooperation," Chaos, Solitons & Fractals, Elsevier, vol. 199(P3).
    • Handle: RePEc:eee:chsofr:v:199:y:2025:i:p3:s0960077925008185
    DOI: 10.1016/j.chaos.2025.116805
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    References listed on IDEAS

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    1. Liu, Jingna & Qi, Qi & Liu, Bing & Gao, Shujing, 2023. "Pest control switching models with instantaneous and non-instantaneous impulsive effects," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 205(C), pages 926-938.
    2. Ihsan Ullah Khan & Sanyi Tang, 2020. "The Impulsive Model with Pest Density and Its Change Rate Dependent Feedback Control," Discrete Dynamics in Nature and Society, Hindawi, vol. 2020, pages 1-20, February.
    3. Changtong Li & Xiaozhou Feng & Yuzhen Wang & Xiaomin Wang, 2020. "Complex Dynamics of Beddington–DeAngelis-Type Predator-Prey Model with Nonlinear Impulsive Control," Complexity, Hindawi, vol. 2020, pages 1-12, December.
    4. Mu, Yu & Lo, Wing-Cheong & Tan, Yuanshun & Liu, Zijian, 2025. "Hybrid control for the prey in a spatial prey-predator model with cooperative hunting and fear effect time lag," Applied Mathematics and Computation, Elsevier, vol. 491(C).
    5. Akman, Olcay & Comar, Timothy & Henderson, Miranda, 2018. "An analysis of an impulsive stage structured integrated pest management model with refuge effect," Chaos, Solitons & Fractals, Elsevier, vol. 111(C), pages 44-54.
    6. Pal, Debjit & Kesh, Dipak & Mukherjee, Debasis, 2024. "Cross-diffusion mediated Spatiotemporal patterns in a predator–prey system with hunting cooperation and fear effect," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 220(C), pages 128-147.
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