Abstract
In this research, we examine a diffusive predator–prey model with spatial memory. We begin by checking that the suggested model has a unique solution that is boundedness. The stability of each equilibrium is then examined. Local and global stability as well as bifurcations are investigated in the non-delayed model at stationary equilibrium. Then, we investigate the Hopf bifurcation using the delay as the bifurcation parameter. In order to back up our theoretical findings, we then give some numerical simulations.
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Acknowledgements
The work was supported by National Natural Science Foundation of China 12271261 and National Undergraduate Training Program for Innovation and Entrepreneurship (202310300044Z).
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Zhang, Y., Zhang, X. & Li, S. The effect of self-memory-based diffusion on a predator–prey model. Z. Angew. Math. Phys. 75, 108 (2024). https://doi.org/10.1007/s00033-024-02256-1
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DOI: https://doi.org/10.1007/s00033-024-02256-1