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| 在有限资源条件下的肺结核模型研究 | |
| 引用本文： | 王晓燕,杨俊元,张凤琴. 在有限资源条件下的肺结核模型研究[J]. 生物数学学报, 2013, 0(4): 623-628 |
| 作者姓名： | 王晓燕 杨俊元 张凤琴 |
| 作者单位： | [1]串北大学信息与通信学院,山西太原030051 [2]运城学院应用数学系,山西运城044000 |
| 基金项目： | 国家自然科学基金（N061203228,61275120,11301491）;天元基金（11226258）;山西省青年基金（2011021001-1）;运城学院院级项目（YQ-2011045,JY-2011036）;山西省高等学校创新人才支持计划资助 |
| 摘 要： | 讨论了有限资源下的肺结核模型，得到了基本再生数，考虑了模型的双稳定性，用第二加型复合矩阵研究了模型平衡点的全局渐近稳定性．最后数值模拟验证理论结果． |
| 关 键 词： | 肺结核模型 后向分支 第二加型复合矩阵 |
Research of a Tuberculosis Model under Limited Resources |
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| WANG Xiao-yan,YANG Jun-yuan,ZHANG Feng-qin. Research of a Tuberculosis Model under Limited Resources[J]. Journal of Biomathematics, 2013, 0(4): 623-628 | |
| Authors: | WANG Xiao-yan YANG Jun-yuan ZHANG Feng-qin |
| Affiliation: | 2 (1 School of Information and Communication Engineering, North University of China, Taiyuan Shanxi 030051 China) (2 Department of Applied Mathematics, Yuncheng University, Yuncheng Shanxi 044000 China) |
| Abstract: | A tuberculosis model under limited resources is investigated. The basic repro- duction number is obtained. The bistability of the system is discussed. We study the globally asymptotical stability of the endemic equilibrium by using the second additive compound matrix. Numerical simulation illustrates the results. |
| Keywords: | Tuberculosis model Backward bifurcation The second additive compound |
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