@inbook {IOPORT.06105346, author = {Liu, Jia and Zhou, Hua and Tong, Kai-yu}, title = {Stability of a predator-prey model with modified Holling-Type II functional response.}, year = {2012}, booktitle = {Intelligent computing theories and applications. 8th international conference, ICIC 2012, Huangshan, China, July 25--29, 2012. Proceedings}, isbn = {978-3-642-31575-6}, pages = {145-150}, publisher = {Berlin: Springer}, doi = {10.1007/978-3-642-31576-3_19}, abstract = {Summary: A predator-prey model with modified Holling-Type II functional response under Neumann boundary condition is proposed. We show that under some conditions the cross-diffusion can induce the Turing instability of the uniform equilibrium, which is stable for the kinetic system and for the self-diffusion reaction system. Also, the numerical simulation is given in this paper, and verifying the result of the paper is correct.}, identifier = {06105346}, }