| 吴事良,史振霞.二维空间格上的具有静止阶段的反应扩散系统的整体解[J].数学年刊A辑,2012,33(5):527~538 |
| 二维空间格上的具有静止阶段的反应扩散系统的整体解 |
| Entire Solutions to a Reaction-Diffusion System with a Quiescent Stage on a 2D Spatial Lattice |
| |
| DOI： |
| 中文关键词: 整体解 行波解 空间离散反应扩散方程 静止阶段 |
| 英文关键词:Entire solution, Traveling wave front, Spatially discrete reaction-
diffusion system, Quiescent stage |
| 基金项目:国家自然科学基金(No.11026127);中央高校基本科研业务费(No.JY10000970005)资助的项目 |
|
| Hits: 1427 |
| Download times: 36 |
| 中文摘要: |
| 研究一类二维空间格上的具有静止阶段的反应扩散系统的整体解,这里整体解指的是定义在整个空间和时间上的古典解.构造合适的下解和上估计式,利用比较原理,并利用连接稳定态和不稳定态的空间不依赖解和具有不同波速与传播方向的行波解,证明了整体解的存在性和一些定性性质. |
| 英文摘要: |
| The authors study entire solutions to a reaction-diffusion system with quiescent
stage on a 2D spatial lattice, where the entire solutions are the classical solutions defined
in the whole space and time. Using the comparison principle with appropriate subsolutions
and upper estimates, some new entire solutions are constructed by combining a spatially
independent solution and traveling wave fronts with different wave speeds and directions of
propagation. |
| View Full Text View/Add Comment Download reader |
| Close |
