Dynamical Transitions Governed by the Cubic Reaction-Diffusion Equation for Gene Propagation Model

摘要：

In this paper, the dynamical transitions of reaction-diffusion equation which is under the homogeneous Neumann boundary condition for Gene Propagation model is analysed. By using the Spectrum Theory and Center manifold Reduction Method, the system is reduced to a finite system of ordinary differential equations. From the reduced system,we obtain the local dynamics of the original system near transition points at the onset of instability.

关键词： Center-manifold Reducion Reaction-diffusion system Spectrum Theory dynamical transitions Gene Propagation

作者: Sumei Li Guichen Lu Yong Luo

作者单位: Department of Mathematics, Wenzhou University, Wenzhou, 325035. China Institute of Computer Applications,Academia Sinica Chengdu,Sichuan 610064, China Department of Mathematics,Wenzhou University,Wenzhou, 325035. China

会议类型: 国际会议

会议名称: The 5th International Congress on Mathematical Biology(第五届国际生物数学大会 ICMB 2011)

会议地点: 南京

会议语种:英文

页码: 1527-1532

在线出版日期: 2011-06-01（万方平台首次上网日期，不代表论文的发表时间）