In this paper,we establish a delayed predator-prey model with nonlocal fear effect.Firstly,the existence,uniqueness,and persistence of solutions of the model are studied.Then,the local stability,Turing bifurcation,and Hopf bifurcation of the constant equilibrium state are analyzed by examining the characteristic equation.The global asymptotic stability of the positive equilibrium point is investigated using the Lyapunov function method.Finally,the correctness of the theoretical analysis results is verified through numerical simulations.
关键词
时滞/非局部恐惧效应/全局渐近稳定/Hopf分支
Key words
Delay/Nonlocal fear effect/Global stability/Hopf bifurcation
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基金项目
National Natural Science Foundation of China(12271261)
National Undergraduate Training Program for Innovation and Entrepreneurship(202310300044Z)
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