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.