| 两种群相互竞争的具有非线性传染率的SIS模型 |
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| 引用本文： | 朱婉珍,许梅生.两种群相互竞争的具有非线性传染率的SIS模型[J].浙江科技学院学报,2004,16(2):75-79. |
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| 作者姓名： | 朱婉珍 许梅生 |
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| 作者单位： | 浙江科技学院,理学系,浙江,杭州,310023;浙江科技学院,理学系,浙江,杭州,310023 |
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| 摘 要： | 研究了两种群相互竞争的具有非线性传染率的自治类型的SIS传染病模型，得到了一些平衡点稳定与否的阈值条件。揭示了当两种群共存但无疾病交又传染时。在一定条件下疾病就会消亡的规律。
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| 关 键 词： | 传染病模型 疾病交叉传染 区域渐进稳定性 |
| 文章编号： | 1671-8798(2004)02-0075-05 |
| 修稿时间： | 2004年2月24日 |
SIS epidemic model of two competitive species with nonlinear incidence |
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| ZHU Wan-zhen,XU Mei-sheng.SIS epidemic model of two competitive species with nonlinear incidence[J].Journal of Zhejiang University of Science and Technology,2004,16(2):75-79. |
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| Authors: | ZHU Wan-zhen XU Mei-sheng |
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| Abstract: | A SIS epidemic model with nonlinear infection rate is formulated for two competitive species. And the threshold conditions whether or not some equilibrium points are stable are obtained. It is discovered that under proper condition,the disease would die out without the cross-infection for both species. |
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| Keywords: | epidemic model cross-infection regional asymptotic stability |
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