计算机工程与应用2016，Vol.52Issue(1)：7-11,5.DOI:10.3778/j.issn.1002-8331.1504-0036
具有饱和项和毒素影响反应扩散模型的平衡态分析
Analysis of steady-states of reaction diffusion model with saturating terms and effects of toxic substances
摘要
Abstract
The steady-states of reaction diffusion model with saturating terms and effects of toxic substances is studied, the bifurcation and the stability of a reaction-diffusion system with homogeneous Neumann boundary are investigated by the method of spectral analysis and bifurcation theory. The bifurcation at the steady-state solutions is acquired by treating r1, r2 as bifurcation parameters. Moreover, some stability results of the bifurcation solutions are obtained by using pertur-bation theory of linear operators and stability theory of bifurcation solutions.关键词
饱和项/毒素/谱分析/稳定性/分歧理论Key words
saturating terms/toxic substances/spectral analysis/stability/bifurcation theory分类
数理科学引用本文复制引用
田慧洁,李艳玲,郭改慧..具有饱和项和毒素影响反应扩散模型的平衡态分析[J].计算机工程与应用,2016,52(1):7-11,5.基金项目
国家自然科学基金(No.11401356) （No.11401356）
高等学校博士学科点专项科研基金(No.200807180004). （No.200807180004）
