| 两共存种群中具非线性传染率的SIS模型的定性分析 |
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| 引用本文： | 朱婉珍.两共存种群中具非线性传染率的SIS模型的定性分析[J].江西教育学院学报,2004,25(3):4-7,24. |
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| 作者姓名： | 朱婉珍 |
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| 作者单位： | 浙江科技学院理学系,浙江,杭州,310023 |
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| 摘 要： | 研究了两共存种群中具有非线性传染率的自治类型的SIS传染病模型 ,得到了疾病传播与否的阈值条件及相应的平衡点的全局稳定性 (或全局吸引性 )。结论表明 ,当两种群共存且均有疾病流行时 ,如切断疾病交叉传染因素 ,在一定条件下 ,疾病均会消亡。
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| 关 键 词： | SIS模型 疾病交叉传染 非线性传染率 平衡点 |
| 文章编号： | 1005-3638(2004)03-0004-04 |
A Qualitative Analysis of A SIS Model with Nonlinear Infection Rate When the Two Species Coexist |
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| ZHU Wan-zhen.A Qualitative Analysis of A SIS Model with Nonlinear Infection Rate When the Two Species Coexist[J].Journal of Jiangxi Institute of Education,2004,25(3):4-7,24. |
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| Authors: | ZHU Wan-zhen |
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| Abstract: | A SIS epidemic model with nonlinear infection rate when the two species coexist is studied.The threshold criteria are set up to determine whether a disease persists in the species.And the global stabilities(or global attraction) of the corresponding equilibrium are obtained.It is discovered that under proper condition,when the two species coexist and a disease persists in both of them ,if the cross-infection is removed,the disease would die out. |
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| Keywords: | SIS model cross-infection nonlinear infection rate equilibrium |
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