交错扩散对于Turing不稳定现象的影响  

The Cross-Diffusion Can Induce the Turing Instability Phenomenon

作　　者：朱莹[1] 

机构地区：[1]扬州职业大学数学系,江苏扬州225009

出　　处：《淮阴师范学院学报（自然科学版）》2010年第4期295-298,共4页Journal of Huaiyin Teachers College;Natural Science Edition

摘　　要：对建立在生态学基础上的一类具有Hlling-Ⅲ型功能性响应函数的捕食常微分模型及其对应的偏微分模型进行研究,发现交错扩散可以把不稳定的只具有自扩散的偏微分方程组变成稳定的偏微分系统,也可以把稳定的变成不稳定的系统.This paper is devoted to study of an ODE system for predator-prey model with functional responses of Hlling-Ⅲ type and the corresponding PDE system established in ecology.We discuss the conditions under which Turing instability phenomenon is induced for the same constant equilibrium solution by linearization and eigenvalue.In this section,we show that under some conditions the cross-diffusion can induce the Turing instability phenomenon.

关 键 词：Hlling-Ⅲ型 正常数平衡解 Turing不稳定 自扩散 交错扩散 

分 类 号：O175.26[理学—数学]