| 一类具有病菌信息交流机制的时滞模型的稳定性 |
| |
| 引用本文： | 张仲华,孟庆勋,锁要红. 一类具有病菌信息交流机制的时滞模型的稳定性[J]. 上海大学学报(自然科学版), 2013, 19(3): 308-314. DOI: 10.3969/j.issn.1007-2861.2013.03.017 |
| |
| 作者姓名： | 张仲华 孟庆勋 锁要红 |
| |
| 作者单位： | 1. 西安科技大学 理学院, 西安 710054; 2. 上海大学 上海市应用数学和力学研究所, 上海 200072 |
| |
| 基金项目： | 国家自然科学基金资助项目(11201277, 10971064, 11271125); 中国博士后基金资助项目(20090461281); 陕西省教育厅专项科研计划基金资助项目(09JK601, 12JK0581, 2013JK0611); 信阳师范学院种群生态模拟与控制重点试验室开放课题基金资助项目(201004) |
| |
| 摘 要： | 考虑病菌的群体感应机理建立了一类人体免疫细胞与病菌竞争的时滞微观动力学模型, 并综合运用Liapunov 稳定性理论、中心流形定理及规范型理论等, 讨论了无菌平衡点的局部及全局渐近稳定性, 正平衡点的存在性、全局渐近稳定性无菌平衡点在奇异条件下的稳定性.
|
| 关 键 词： | 非双曲平衡点 免疫 群体感应 时滞 稳定性 |
| 收稿时间： | 2012-12-26 |
Stability of a Delayed Model with the Mechanism of Information Exchange |
| |
| ZHANG Zhong-hua,MENG Qing-xun,SUO Yao-hong. Stability of a Delayed Model with the Mechanism of Information Exchange[J]. Journal of Shanghai University(Natural Science), 2013, 19(3): 308-314. DOI: 10.3969/j.issn.1007-2861.2013.03.017 |
| |
| Authors: | ZHANG Zhong-hua MENG Qing-xun SUO Yao-hong |
| |
| Affiliation: | 1. School of Sciences, Xi’an University of Science and Technology, Xi’an 710054, China; 2. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China |
| |
| Abstract: | To characterize the competition between immune cells and bacteria, a microcosmic dynamical model with delayed quorum sensing mechanism is constructed. According to the Liapunov staiblity theory, the center manifold theorem and the norm form theory, local and global stability of the bacteria free equilibrium, existence and globally asymptotical stability of the positive equilibrium, and stability of the nonhyperbolic bacteria free equilibrium are studied for any positive delay. |
| |
| Keywords: | immunity nonhyperbolic equilibrium quorum sensing stability time delay |
|
| 点击此处可从《上海大学学报(自然科学版)》浏览原始摘要信息 |
|
点击此处可从《上海大学学报(自然科学版)》下载免费的PDF全文 |
