摘要
证明了一个二维反应扩散系统,当扩散系数相等且充分大时,其整体正解或趋于系统的正常数平衡解,或趋于一个空间齐次周期解的渐近结果.
For a two-dimensional reaction-diffusion system with Neumann boundary condition, it is proved that if the diffusion coefficient D>0 is large enough, then for any given initial value, the system possesses a uniquely positive solution u(t,x) such that either u(t,x) tends to a spatial homogeneous periodic solution or u(t,x) tends to the positive equilibrium point.
出处
《四川大学学报（自然科学版）》
CAS
CSCD
1989年第3期260-263,共4页
Journal of Sichuan University(Natural Science Edition)
关键词
反应扩散系统
周期渐近性态
解
reaction-diffusion system, global existence, periodic behavior,ordinary differential equation, limit cycle.
