| Oregonator模型的平衡态正解分析 |
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| 引用本文： | 王利娟,李艳玲.Oregonator模型的平衡态正解分析[J].陕西师范大学学报,2012(3):6-11. |
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| 作者姓名： | 王利娟 李艳玲 |
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| 作者单位： | 陕西师范大学数学与信息科学学院;宝鸡文理学院数学系 |
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| 基金项目： | 国家自然科学基金资助项目(10971124);教育部高等学校博士点专项基金资助项目(200807180004);陕西省自然科学基础研究计划项目(2011JQ1015);宝鸡文理学院重点项目(ZK10116,ZK11137) |
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| 摘 要： | 研究了齐次Neumann边界条件下的Oregonator模型.通过运用线性算子的稳定性理论分析了正常数解的稳定性.以扩散系数d1为分歧参数,利用分歧理论研究了发自平衡态正常数解的局部分歧和全局分歧,得到了平衡态非常数正解存在的充分条件.结果表明:当扩散系数d1在0到分歧点d1j的开区间内取值,且不等于任意分歧点时,该模型有非常数正解.
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| 关 键 词： | Oregonator模型 正常数解 分歧 |
Analysis of positive steady-state solutions for the oregonator model |
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| WANG Li-juan,LI Yan-ling.Analysis of positive steady-state solutions for the oregonator model[J].Journal of Shaanxi Normal University: Nat Sci Ed,2012(3):6-11. |
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| Authors: | WANG Li-juan LI Yan-ling |
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| Institution: | 1*(1 College of Mathematics and Information Science, Shaanxi Normal University,Xi′an 710062,Shaanxi,China; 2 Department of Mathematics,Baoji University of Arts and Sciences,Baoji 721013,Shaanxi,China) |
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| Abstract: | The Oregonator model with the homogeneous Neumann boundary condition is studied.By the stability theory of linear operators,the stability of positive constant solution is discussed.By using bifurcation theory and regarding diffusion coefficient d1 as bifurcation parameter,the local and global bifurcations from the positive constant steady-state are investigated.The sufficient conditions for the existence of positive nonconstant steady-state solution are gained.It is shown that the model has positive nonconstant solution whenever diffusion coefficient d1 belongs to the open interval from 0 to the bifurcation point d1j and is not equal arbitrary bifurcation point. |
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| Keywords: | Oregonator model positive constant solution bifurcation |
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