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Global attractor for a three‐species predator‐prey model with cross‐diffusion

This paper studies a three‐species predator‐prey model with cross‐diffusion. In a previous paper 11 of Pang and Wang, it was proved that the system admits global classical solutions if the exponents in cross diffusion term satisfy m, l ≥ 1. In the present paper, we continue considering the asymptotic behavior of the solutions, and obtain that the system possesses a global attractor in fact, if the cross diffusion exponents are even larger with m, l ≥ 2.