一类具有Hlling-Ⅲ型捕食模型的Turing不稳定现象  

Turing instability phenomenon in a predator-prey model with functional responses of Hlling-Ⅲ type

作　　者：朱莹[1,2] 张群英[1] 

机构地区：[1]扬州大学数学科学学院,江苏扬州225002 [2]扬州职业大学数学系,江苏扬州225009

出　　处：《扬州大学学报（自然科学版）》2009年第4期6-9,30,共5页Journal of Yangzhou University：Natural Science Edition

基　　金：江苏省自然科学基金资助项目(BK2006064)

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,用线性化结合谱分析给出了常微分系统稳定的条件,在此基础上给出偏微分系统不稳定的条件,从而得到Turing不稳定现象.This paper is devoted to study of an ordinary differential equation system for predatorprey model with functional responses of Hoelling-Ⅲ type and corresponding partial differential equation system established in ecology. It discusses the conditions under which Turing instability phenomenon is induced for the same constant equilibrium solution by linearization and eigenvalue.

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]