| 一类互惠模型正解的存在性 |
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| 引用本文： | 解玉龙,李艳玲.一类互惠模型正解的存在性[J].西北师范大学学报,2007,43(6):6-10. |
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| 作者姓名： | 解玉龙 李艳玲 |
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| 作者单位： | 陕西师范大学数学与信息科学学院,陕西西安710062 |
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| 摘 要： | 利用正的紧线性微分算子的谱性质和锥映象不动点指标,结合极值原理和上下解方法,研究了具有饱和项的Volterra-Lotka互惠模型的平衡态方程,得到了具有饱和项的互惠模型正解存在的充分条件.
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| 关 键 词： | 平衡解 谱 不动点指标 上下解 |
| 文章编号： | 1001-988X(2007)06-0006-05 |
| 修稿时间： | 2007年6月11日 |
Existence of positive solutions for a cooperative model |
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| XIE Yu-long,LI Yan-ling.Existence of positive solutions for a cooperative model[J].Journal of Northwest Normal University Natural Science (Bimonthly),2007,43(6):6-10. |
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| Authors: | XIE Yu-long LI Yan-ling |
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| Abstract: | 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 method,the steady-state equation of a kind of the Volterra-Lotka cooperative model with saturation is studied,sufficient conditions for the existence of positive solutions of the system are obtained. |
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| Keywords: | steady-state solution spectrum fixed points index lower-upper solutions |
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