Abstract: We considered the generation and selection of Turing pattern of a class of two dimensional system with negative crossdiffusion. Firstly, the existence region of Turing pattern was obtained by using stability theory and Hopf bifurcation theory. Secondly, the amplitude equations of the system were derived by using multiscales analysis method, and the selection result of Turing pattern was given. Finally, we considered a specific ecosystem with a ratio dependent HollingTanner predatorprey model. MATLAB software was used to simulate the pattern generation and selection results of the model, and the different types of Turing patterns, such as dot, strip and the coexistence of the two types were obtained.

Key words: amplitude equation, two dimensional system, negative crossdiffusion coefficient, Turing pattern