| 具有非线性接触率和时滞的SIRS流行病模型 |
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| 引用本文： | 胡志兴,王辉.具有非线性接触率和时滞的SIRS流行病模型[J].应用数学学报,1999,22(1):10-16. |
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| 作者姓名： | 胡志兴 王辉 |
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| 作者单位： | [1]北京航空航天大学应用数理系 [2]延安大学数学系 |
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| 摘 要： | 本文研究了具有非线性接触率βＩ＾ｐｓ／１＋αＩ＾ｑ和恢复类中具有分布时滞的ＳＩＲＳ流行病模型的解的存在性和连续性，正不变集，平衡位置以及平衡位置的稳定性。
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| 关 键 词： | SIRS流行病模型 非线性接触率 时滞 流行病模型 |
A SIRS EPIDEMIOLOGICAL MODEL WITH NONLINEAR INCIDENCE RATE AND DELAY |
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| HU ZHIXING.A SIRS EPIDEMIOLOGICAL MODEL WITH NONLINEAR INCIDENCE RATE AND DELAY[J].Acta Mathematicae Applicatae Sinica,1999,22(1):10-16. |
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| Authors: | HU ZHIXING |
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| Abstract: | The purpose of this paper is to study a SIRS epidemiological model with non- linear incidence rate and distributional delay in removed class. The existence and continuity of solutions, the positive invariant set, the equilibrium and the stability of the equilibrium for the model are discussed. |
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| Keywords: | SIRS epidemiological model nonlinear incidence rate equilibria delay stability |
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