A Delayed Fractional-Order Predator–Prey Model with Three-Stage Structure and Cannibalism for Prey
Hui Zhang,
Ahmadjan Muhammadhaji
Abstract:In this study, we investigate a delayed fractional-order predator–prey model with a stage structure and cannibalism. The model is characterized by a three-stage structure of the prey population and incorporates cannibalistic interactions. Our main objective is to analyze the existence, uniqueness, boundedness, and local stability of the equilibrium points of the proposed system. In addition, we investigate the Hopf bifurcation of the system, taking the digestion delay of the predator as the branch parameter, a… Show more
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