| 两种群相互竞争的SIRS传染病模型的稳定性 |
| |
| 引用本文： | 韩丽涛,原三领,马知恩.两种群相互竞争的SIRS传染病模型的稳定性[J].生物数学学报,2003,18(1):21-26. |
| |
| 作者姓名： | 韩丽涛 原三领 马知恩 |
| |
| 作者单位： | 西安交通大学,理学院,陕西,西安,710049 |
| |
| 基金项目： | 国家自然科学基金资助项目(19971066) |
| |
| 摘 要： | 研究了一类两种群相互竞争的SIRS传染病模型，得到了一些平衡点稳定与否的阈值条件。揭示了两种群共存时，交叉传染对疾病传播的本质影响，即在无交叉传染疾病绝灭的情况下（一定条件时），若引入交叉传染，在相同的条件下，疾病就可能流行起来。
|
| 关 键 词： | 传染病模型 交叉传染 局部渐近稳定性 全局渐近稳定性 |
| 文章编号： | 1001-9626(2003)01-0021-06 |
| 修稿时间： | 2001年6月5日 |
Stability of an SIRS Epidemic Model of Two Competitive Species |
| |
| HAN Li-tao YUAN San-lmg MA Zhi-enFacuity of Science,Xi'An Jiaotong University,Xi'an Shanxi China.Stability of an SIRS Epidemic Model of Two Competitive Species[J].Journal of Biomathematics,2003,18(1):21-26. |
| |
| Authors: | HAN Li-tao YUAN San-lmg MA Zhi-enFacuity of Science Xi'An Jiaotong University Xi'an Shanxi China |
| |
| Institution: | HAN Li-tao YUAN San-lmg MA Zhi-enFacuity of Science,Xi'An Jiaotong University,Xi'an Shanxi 710049 China |
| |
| Abstract: | An autonomous SIRS epidemic model of two competitive species is formulated and analyzed. Some thresholds are identified and stability results of equilibria are proved. It is discovered that the inter-infection is crucial to the dynamical behavior of the system, namely, when the disease will die out without the inter-infection for both species, the disease may prevail in both species if the cross-infection is introduced. |
| |
| Keywords: | Epidemic model Inter-infection of disease Local asymptotic stability Global asymptotic stability |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
