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| 一类SEIQR传染病模型的稳定性分析 | |
| 引用本文： | 张栋. 一类SEIQR传染病模型的稳定性分析[J]. 山东师范大学学报(自然科学版), 2013, 0(3): 50-53 |
| 作者姓名： | 张栋 |
| 作者单位： | 沧州师范学院数学系,河北沧州061001 |
| 摘 要： | 讨论了一类具有非线性发生率的SEIQR传染病模型，确定了各类平衡点存在的阈值条件，通过Lasalle不变集原理、Liapunov函数、Hurwitz判据和第二加性复合矩阵理论，得到了各类平衡点的局部稳定和全局稳定的条件． |
| 关 键 词： | 传染病模型 平衡点 稳定性 |
GLOBAL STABILITY OF AN EPIDEMIC MODEL WITH LATENCY AND ISOLATION |
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| Zhang Dong. GLOBAL STABILITY OF AN EPIDEMIC MODEL WITH LATENCY AND ISOLATION[J]. Journal of Shandong Normal University(Natural Science), 2013, 0(3): 50-53 | |
| Authors: | Zhang Dong |
| Affiliation: | Zhang Dong ( Department of Mathmatics, Cangzhou Normal University,061001, Cangzhou, Hebei, China ) |
| Abstract: | An SEIQR epidemic model with non -linear incidence rate is discussed in this paper, the conditions and threshold to the existence of various equilibriums are established. By means of Lasalle＇ s invariant set theorem,Liapunov function, Hurwitz criterion and second additive compound matrix, the conditions about the locally asymptotic stability and the globally asymptotic stability are obtained. |
| Keywords: | epidemic model equilibriums stability |
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