| 一类捕食模型正解的存在性分析 |
| |
| 引用本文： | 袁静,易景平.一类捕食模型正解的存在性分析[J].齐齐哈尔轻工业学院学报,2008(3):58-62. |
| |
| 作者姓名： | 袁静 易景平 |
| |
| 作者单位： | 河南安阳师范学院数学科学学院,河南安阳455002 |
| |
| 摘 要： | 研究了一类捕食模型的平衡态方程，通过利用正的紧线性微分算子的谱性质和锥映像不动点指标，结合极值原理，上下解方法，得到了正解存在的充分条件。
|
| 关 键 词： | 平衡解 谱 不动点指标 上下解 |
Existential analysis of positive solutions for a predator-prey model |
| |
| Authors: | YUAN Jing YI Jing-ping |
| |
| Affiliation: | (Department of Mathematics, Henan Anyang Normal College, Henan Anyang 455002, China) |
| |
| Abstract: | This paper studies the steady-state equation of a kind of predator-prey model, and by using the spectral properties of positive compact linear differential opetators and fixed points index of compact maps in cones, combining with maximum principles, and lower-upper solutions methods, sufficient conditions of positive solutions are obtained. |
| |
| Keywords: | steady-state solution spectrum fixed points index lower-upper solutions |
| 本文献已被 维普 等数据库收录！ |
