<p>Our study introduces a predator-prey model that incorporates the effects of the Allee phenomenon in the prey population and where the predator populations consume their primary food according to the modified Leslie-Gower model. As a result of these influences, the study provides insights into ecological stability and resilience by revealing the intricate dynamics of predator-prey interactions. The prey population grows logistically, predators exhibit a Holling type IV functional response, while nonlinear harvesting is applied to the predator population. We study the positivity and bounded behavior of the solutions. It is established that the system demonstrates Transcritical, Saddle-node, Hopf and Bogdanov-Taken bifurcation with respect to some of the important parameters. Through extensive numerical simulations, the analytical results are confirmed. Based on these numerical results, it is evident that Allee effects and the catchability coefficient play an important role in shaping predator-prey dynamics, which has valuable implications for resource management and conservation. An understanding of ecological systems is enhanced by the model’s insights.</p>