Biological pest-natural enemy control model combined with Allee effect and cannibalism in natural enemies with additional food provision
摘要
Effective pest management increasingly relies on ecological strategies rather than chemical control. Key mechanisms such as the Allee effect, food supplementation to natural enemies, and cannibalism in natural enemy populations play crucial roles in shaping population persistence and control outcomes. This study investigates a novel pest-natural enemy model incorporating Allee effects, additional food provision, and cannibalism. First, the positivity, boundedness, and local stability of the proposed model are rigorously established. Subsequently, a comprehensive bifurcation analysis is carried out, including Hopf, saddle-node, transcritical, and Bogdanov–Takens bifurcations. Finally, numerical simulations are presented to validate the ecological relevance and effectiveness of the model, illustrating how Allee effects and additional food influence system dynamics and how additional food interacts with cannibalism. These findings highlight that integrating Allee effects, additional food, and cannibalism provides critical insights into ecological mechanisms and offers practical guidance for designing effective and sustainable pest management strategies.