In the realm of integrated pest management (IPM), the intensity of IPM should be dynamically adjusted over time according to pests in practical applications. To address this, we involve a dynamic regulatory factor of the IPM into the discrete model rather than switching system. Further, the existence and local stability of the fixed points and interesting bifurcation diagrams have been analysed and provided. Numerical investigations validate the theoretical results and reveal a diverse and intricate dynamical behaviour of the proposed system, which can be confirmed by a more detailed bifurcation analyses at the economic threshold level as the regulatory factors and intensity of IPM vary. The results illustrate that adjusting the intensity of IPM not only maintain the density of host at the threshold level, but also lead to an increase in parasitoid. The modelling methods and main results developed here provide valuable insights for formulating optimal control strategies.
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