| N种群的互惠模型的全局渐近稳定性 |
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| 引用本文： | 李小丽,李艳玲.N种群的互惠模型的全局渐近稳定性[J].云南师范大学学报(自然科学版),2009,29(2):13-17. |
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| 作者姓名： | 李小丽 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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| 基金项目： | 国家自然科学基金，陕西省自然科学基础研究项目 |
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| 摘 要： | 文章研究了具有时滞N-物种互惠反应扩散系统及其相应的常微分系统。利用一般反应扩散系统的上下解方法,得到了解的存在性和平衡态方程正解的全局渐近稳定性的充分条件。这个结果导致了互惠反应扩散系统的持久性,平凡解和所有半平凡解的不稳定性和不存在非一致平衡解。
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| 关 键 词： | 互惠模型 反应扩散系统 时滞 常微分系统 全局渐进稳定性 |
Global Asymptotic Stability of N-species Cooperative Reaction-Diffusion Systems With Time Delays |
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| LI Xiao-li,LI Yan-ling.Global Asymptotic Stability of N-species Cooperative Reaction-Diffusion Systems With Time Delays[J].Journal of Yunnan Normal University (Natural Sciences Edition),2009,29(2):13-17. |
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| Authors: | LI Xiao-li LI Yan-ling |
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| Institution: | (College of Mathematics and Information Science, Shaanxi Normal University,Xi＇an 710062, Shannxi, China) |
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| Abstract: | This paper is concerned with N - species time - delayed Lotka - Volterra cooperative reaction - diffusion systems and their corresponding ordinary differential systems without diffusion. Adopting the method of upper and lower solutions for a more general reaction - diffusion system, the initial and boundary conditions of reaction - diffusion of solutions and glo sys bal tems with time delays are dealt with to obtain the sufficient conditions for the existence asymptotic stability of a positive steady - state solution. The result leads to the permanence of the cooperative systems, the instability of the trivial and all forms of semitrivial solutions, and the nonexistence of nonuniform steady- state solutions |
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| Keywords: | cooperative model reaction - diffusion time delay global asymptotic stability ordinary differential systems |
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