吉林大学学报（理学版）2017，Vol.55Issue(3)：537-546,10.DOI:10.13413/j.cnki.jdxblxb.2017.03.13
一类带负交叉扩散项二维系统的空间Turing斑图
Spatial Turing Pattern of a Class of Two Dimensional System with Negative Cross-Diffusion
摘要
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.关键词
二维系统/负交叉扩散系数/振幅方程/Turing斑图Key words
two dimensional system/negative cross-diffusion coefficient/amplitude equation/Turing pattern分类
数理科学引用本文复制引用
张道祥,赵李鲜,孙光讯,周文,于艳..一类带负交叉扩散项二维系统的空间Turing斑图[J].吉林大学学报（理学版）,2017,55(3):537-546,10.基金项目
国家自然科学基金青年基金(批准号:11302002)和国家级大学生创新创业训练计划项目(批准号:201610370002). （批准号:11302002）
