Turing instability and pattern induced by cross-diffusion in a predator-prey system

The phenomenon of pattern formation for predator-prey model with cross-diffusion is considered. We prove that cross-diffusion can destabilize the positive equilibrium which is stable for the self-diffusion reaction system. We also derive cross-diffusion-driven instability conditions. Moreover, our n...

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Bibliographic Details
Main Authors: Wang Qiufang, Peng Yahong
Format: Article
Language:English
Published: Academic Journals Center of Shanghai Normal University 2018-06-01
Series:Journal of Shanghai Normal University (Natural Sciences)
Subjects:
Online Access:http://qktg.shnu.edu.cn/zrb/shsfqkszrb/ch/reader/view_abstract.aspx?file_no=20180308