Abstract
In this paper, we consider the dynamics of a diffusive predator‐prey system with strong Allee effect and delayed Ivlev‐type functional response. At first, we apply the method of upper‐lower solutions and the comparison principle in proving the nonnegativity of the solutions. Then by analyzing the distribution of the eigenvalues, we obtain the bistability of the system and the existence of Hopf bifurcation. Furthermore, by using the center manifolds theory and normal form method, we study the properties of the Hopf bifurcations. Finally, some numerical simulations are carried out for illustrating the theoretical results.
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