Abstract:
Based on the density dependence of juvenile individuals, a cannibalism model with two stages (juvenile and adult) is established, and the existence and stability of equilibria of the model are completely analyzed. For the case without cannibalism, the global stability is proved by constructing the appropriate Lyapunov functions. It is found that, for the case with cannibalism, the saddle-node bifurcation can occur, and the global dynamic behaviors of the model is investigated by applying the Dulac function to rule out the existence of periodic solutions. Finally, the obtained results are verified by numerical simulations.
