考虑记忆时滞的捕食者-食饵模型的分支分析

his paper investigates a predator-prey model with memory delay under Neuma- nn boundary conditions. Firstly, the wellposedness (existence, uniqueness, and positivity) of the model and the stability of the semi-trivial constant steady-state solution are analyzed. T- hen, the stability of the positive constant steady-state solution is analyzed. At the same time, the Turing bifurcation and Hopf bifurcation of the system are obtained by using memory-bas- ed diffusion coefficient as the bifurcation parameter. Finally, numerical simulations are used to verify the conclusions obtained.