| 具时空时滞的扩散Musca domestica苍蝇模型的波前解 |
| |
| 引用本文： | 邓习军.具时空时滞的扩散Musca domestica苍蝇模型的波前解[J].长江大学学报,2006,3(3):6-9. |
| |
| 作者姓名： | 邓习军 |
| |
| 作者单位： | 长江大学信息与数学学院,湖北,荆州,434023 |
| |
| 摘 要： | 提出并研究了非线性项含有时滞且以卷积形式出现的扩散 Musca domestica 苍蝇模型,重点考察了该模型连结两一致稳态解的波前解的存在性。利用几何奇异摄动理论,证明了对一类特定形式的卷积核,只要时滞充分小,该模型的波前解仍然能得以保持。
|
| 关 键 词： | Musca domestica苍蝇模型 波前解 几何奇异摄动理论 |
| 文章编号： | 1673-1409（2006）03-0006-04 |
| 收稿时间： | 2006-06-05 |
| 修稿时间： | 2006年6月5日 |
Traveling Wave Fronts for Diffusive Musca-domestic Housefly Model with Spatial-temporal Delay |
| |
| DENG Xi-jun.Traveling Wave Fronts for Diffusive Musca-domestic Housefly Model with Spatial-temporal Delay[J].Journal of Yangtze University,2006,3(3):6-9. |
| |
| Authors: | DENG Xi-jun |
| |
| Abstract: | A diffusive housefly model with convolution term is proposed,by which a time-delay in the nonlinearity is introduced. An investigation is emphatically made on the existence of traveling wave fronts connecting two uniform steady states. By applying the geometric singular perturbation theory, it is proved that steady traveling wave fronts is maintained when the delay is sufficiently small for a type of convolution kernel. |
| |
| Keywords: | traveling wave fronts Musca-domestic housefly model geometric singular perturbation theory |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
