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基因繁殖的在平衡点(0,0)附近的定态分歧 被引量:3

Steady state bifurcations of the gene propagation system near the equilibrium point(0,0)
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摘要 作者研究了带齐次Neumann边界条件的基因繁殖模型的定态分歧解,并运用谱定理和规范化Lyapunov-Schmidt约化方法给出了反应扩散系统的定态分歧解且讨论了解的稳定性. Steady state bifurcation solution are studied for the gene propagation model with the homogeneous Neumann boundary condition. By using the Spectrum Theory and normalized Lyapunov-Schmidt reduction method, some regular bifurcated solutions are obtained and the stability of these solutions is also discussed.
出处 《四川大学学报(自然科学版)》 CAS CSCD 北大核心 2011年第5期995-1000,共6页 Journal of Sichuan University(Natural Science Edition)
关键词 反应扩散系统 谱定理 规范化Lyapunov—Schmidt约化 定态分歧 reaction-diffusion system, spectrum theory, normalized lyapunov-schmidt reduction, steady state bifurcations
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参考文献10

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同被引文献31

  • 1钟吉玉.关于Kuramoto-Sivashinsky方程平衡解的分岔问题[J].四川大学学报(自然科学版),2006,43(2):277-280. 被引量:7
  • 2赵春色,刘迎东.具有扩散项的SIR模型的动力学[J].北京交通大学学报,2007,31(3):84-86. 被引量:3
  • 3郑燕 魏纯辉.一类高次自催化反应扩散方程的动态分歧.四川大学学报:自然科学版,2009,:46-48.
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