数学杂志2016，Vol.36Issue(6)：1222-1230,9.
多重时滞富营养化生态模型的稳定性与分支分析
STABILITY AND BIFURCATION ANALYSIS OF MULTIPLE TIME DELAY EUTROPHICATION ECOLOGICAL MODEL
摘要
Abstract
In this paper, the stability and bifurcation problem of eutrophication ecological model with two time delays is studied. By using the eigenvalue method, we study the linear stabilities with one delay and two delays, respectively. It is found that Hopf bifurcations and Hopf-zero bifurcations exist at the equilibriums when the delays pass through a sequence of critical values. The sufficient conditions of the existence of Hopf bifurcation and Hopf-zero Bifurcation are obtained. In the end, some numerical simulations are carried out for supporting the analytic results.关键词
双时滞/稳定性/Hopf分支/Hopf-zero分支Key words
two time delays/stability/Hopf bifurcation/Hopf-zero bifurcation分类
数理科学引用本文复制引用
杨纪华,刘媚..多重时滞富营养化生态模型的稳定性与分支分析[J].数学杂志,2016,36(6):1222-1230,9.基金项目
国家自然科学基金资助(11361046) （11361046）
宁夏自然科学基金(NZ13213) （NZ13213）
宁夏高等学校科研项目(宁教高[2014]222号(17) （宁教高[2014]222号(17）
宁教高[2014]222号(16)) （16）
