一类带收获和时滞的生态经济模型的稳定性和Hopf分支  

STABILITY AND HOPF BIFURCATION IN A DELAYED ECOLOGICAL ECONOMIC MODEL WITH HARVESTING

作　　者：李华刚[1] 钱靖[1] 李必文[1] 陈伯山[1] 

机构地区：[1]湖北师范学院数学与统计学院,湖北黄石435002

出　　处：《数学杂志》2013年第3期511-518,共8页Journal of Mathematics

基　　金：湖北省自然科学基金资助项目(2007ABA124);湖北省教育厅重大项目(Z200622002);青年科研基金项目(Q200722001)

摘　　要：本文研究了一类用微分代数系统定义描述的带时滞和Holling II型功能反映的生态经济模型的稳定性和Hopf分支问题.利用了一种新的微分代数系统参数化方法,以时滞为分支参数,获得了上述微分代数生态经济系统稳定性的相关条件判据和Hopf分支的产生条件,推广了一般微分系统模型的结论.In this paper ,we investigate the stability and Hopf bifurcation in a delayed biological economic system with Holling II functional response and differential-algebraic descrip- tion. Using a new parameterization approach of the differential algebraic system, we obtain the interrelated stability criterion and the related conditions of producing Hopf branch of the differential algebraic biological economic system above-mentioned by considering the time delay as bifurcation parameter, and popularize the conclusions of the general differential system.

关 键 词：收获 时滞 捕食者–食饵模型 稳定性 HOPF分支 

分 类 号：O175.13[理学—数学]