| 一类含时滞的Logistic反应扩散方程的波前解 |
| |
| 引用本文： | 潘杰.一类含时滞的Logistic反应扩散方程的波前解[J].生物数学学报,2007,22(3):465-470. |
| |
| 作者姓名： | 潘杰 |
| |
| 作者单位： | 四川农业大学,数学系,四川,雅安,625014 |
| |
| 摘 要： | 研究一类含时滞的Logistic滞反应扩散方程的波前解．通过构造合适的上下解，证明了当时滞充分小时，方程存在波前解．用线性化方法，给出了存在波前解的时滞τ取值范围的一个估计．
|
| 关 键 词： | 时滞 反应扩散方程 波前解 上、下解 |
| 文章编号： | 1001-9626（2007）03-0465-06 |
| 收稿时间： | 2005-10-09 |
| 修稿时间： | 2005年10月9日 |
Traveling Wave Fronts of a Logistic Reaction-Diffusion Equation with Delay |
| |
| PAN Jie.Traveling Wave Fronts of a Logistic Reaction-Diffusion Equation with Delay[J].Journal of Biomathematics,2007,22(3):465-470. |
| |
| Authors: | PAN Jie |
| |
| Institution: | Department of Mathematies, Sichuan Agricultural University, Sichuan Yaan 625014 China |
| |
| Abstract: | In this were considered. It was paper, traveling wave fronts of a reaction-diffusion equation with delay proved that there exist the traveling front solutions connecting the two uniform steadies of the equation by constructing an upper and a lower solution of a second order functional differential equation. A range of the delay of existing the traveling wave fronts was given by linearization of the equation. |
| |
| Keywords: | Delay Reaction-diffusion Traveling wave front Upper-lower solution |
| 本文献已被 维普 万方数据 等数据库收录！ |
|
