The global stability of a class of infectious disease model for the disease free equilibrium(一类传染病模型无病平衡点的全局稳定性)
过去的半个多世纪，传染病模型在数学生态学领域已受广泛重视.研究了一个具时滞和扩散的传染病模型，重点讨论了该模型解的定性性质和稳态解的渐近行为；利用线性化和特征值方法讨论了正稳态解的局部稳定性，通过构造单调迭代序列，给出了正稳态解的全局稳定性.最后给出了数值模拟和讨论，当接触率充分小时，问题的无病平衡点是全局渐近稳定的....
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| Format: | Article |
| Language: | zho |
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Zhejiang University Press
2014-07-01
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| Series: | Zhejiang Daxue xuebao. Lixue ban |
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| Online Access: | https://doi.org/10.3785/j.issn.1008-9497.2014.04.006 |