Dynamics of a predator-prey integrated pest management model with Beddington-DeAngelis functional response
摘要
Constructing efficient integrated pest management (IPM) strategies requires an in-depth understanding of the interactions among biological populations and their density-dependent characteristics. In resource-limited ecosystems, resource competition and mutual interference often occur among predator populations. Given this trait, this study establishes a type of predator-prey IPM model with Beddington-DeAngelis functional response and impulsive effects. Through qualitative analysis, we establish the uniform boundedness of solutions for the ordinary differential equation model, and prove the existence and stability of periodic solutions as well as the bifurcation behavior. For the impulsive control model, we verify the boundedness of solutions and the conditions for the permanence of the system, derive the existence of the pest-eradication periodic solution and the key threshold for its global asymptotic stability, and conduct a bifurcation analysis. Numerical simulations reveal the rich dynamical behaviors of the model, confirming that the impulsive control model is more consistent with realistic resource-limited scenarios, and that parameter variations significantly regulate the dynamic evolution of pest and natural enemy populations. The research conclusions indicate that combining pesticide spraying with natural enemy release, optimizing the timing of impulsive control based on real-time population monitoring, and prioritizing natural enemy species with high predation efficiency and low intraspecific competition are conducive to constructing an efficient, synergistic and environmentally sustainable IPM system.