Abstract In this paper, we consider a predator-prey diffusion model incorporating hunting cooperation and predator-taxis. Firstly, we establish the global existence of classical solution for the model in any spatial dimension. Secondly, we analyze the instability caused by predator-taxis, and we observed that negative predator-taxis play the key role in inducing stability changes. Finally, numerical simulations are employed to validate the obtained results. MCS: Primary 35A09, 35K59; Secondary 35Q92, 92D25.
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Huisen Zhang (2024) studied this question.
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