| 一类带阶段结构的捕食-食饵扩散系统的稳定性 |
| |
| 引用本文： | 曹怀火,李海燕,张永.一类带阶段结构的捕食-食饵扩散系统的稳定性[J].计算机工程与应用,2014,50(15):42-47. |
| |
| 作者姓名： | 曹怀火 李海燕 张永 |
| |
| 作者单位： | 1.陕西师范大学 数学与信息科学学院，西安 710062
2.兰州大学 数学与统计学院，兰州 730000
3.池州学院 数学与计算机科学系，安徽 池州 247100 |
| |
| 摘 要： | 证明一类带有阶段结构和空间扩散的三次捕食者-食饵扩散系统在齐次Neumann边界条件下正解的整体性态，应用谱分析方法和构造Lyapunov泛函讨论系统非负平衡解的渐近稳定性。
|
| 关 键 词： | 三次捕食者-食饵系统 阶段结构 反应扩散 渐近稳定性 |
Stability of solutions to predator-prey diffusive system with stage-structure |
| |
| CAO Huaihuo,LI Haiyan,ZHANG Yong.Stability of solutions to predator-prey diffusive system with stage-structure[J].Computer Engineering and Applications,2014,50(15):42-47. |
| |
| Authors: | CAO Huaihuo LI Haiyan ZHANG Yong |
| |
| Affiliation: | 1.School of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710062, China
2.School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, China
3.Department of Mathematics and Computer Science, Chizhou University, Chizhou, Anhui 247100, China |
| |
| Abstract: | The global behavior of positive solutions to a predator-prey diffusive system with stage-structure under homogeneous Neumann boundary conditions is proved, and stability of the non-negative equilibrium points to system is investigated with the assistance of the spectrum analysis and Lyapunov function. |
| |
| Keywords: | cubic predator-prey system stage-structure reaction-diffusion asymptotic stability |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《计算机工程与应用》浏览原始摘要信息 |
|
点击此处可从《计算机工程与应用》下载全文 |
