| 一类具有非线性接触率和传染力的流行病模型 |
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| 引用本文： | 程宏,王辅俊. 一类具有非线性接触率和传染力的流行病模型[J]. 上海师范大学学报(自然科学版), 1990, 0(2) |
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| 作者姓名： | 程宏 王辅俊 |
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| 作者单位： | 华东师范大学数学系，华东师范大学数学系 |
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| 摘 要： | 本文把 Kermack-Mckendrick 模型推广到非线性情形,建立具有非线性接触率和传染力的流行病的微分方程模型,应用定性理论得到系统的全局性质和流行条件。
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An Epidemic Model With Nonlinear Contact Rate and Nonlinear Effect of Infection |
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| CHENG HONG WANG FUJUN. An Epidemic Model With Nonlinear Contact Rate and Nonlinear Effect of Infection[J]. Journal of Shanghai Normal University(Natural Sciences), 1990, 0(2) |
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| Authors: | CHENG HONG WANG FUJUN |
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| Affiliation: | Department of Mathematics |
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| Abstract: | The Kermack-Mckendrick model is generalized to the nonlinear case. A differential equation model of epidemic with nonlinear contact rate and nonlinear effect of infection is established.A series of global properties and infection conditions are obtained by means of the qualitative theory. |
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| Keywords: | epidomic model Kermack-Mckendrick model nonlinear contact rate nonlinear infection effect |
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