| 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]. 华东师范大学学报(自然科学版), 1990, 0(2): 31-36 |
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| 作者姓名： | 程宏 王辅俊 |
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| 作者单位： | 华北师范大学数学系(程宏)，华北师范大学数学系(王辅俊) |
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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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| 关 键 词： | 流行病 接触率 传染力 微分方程 |
An Epidemic Model With Nonlinear Contact Rate and Nonlinear Effect of Infection |
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| CHENG HONG, WAKG FUJUN. An Epidemic Model With Nonlinear Contact Rate and Nonlinear Effect of Infection[J]. Journal of East China Normal University(Natural Science), 1990, 0(2): 31-36 |
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| Authors: | CHENG HONG WAKG FUJUN |
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| Affiliation: | Department of Mathematics |
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| Abstract: | The Kormack-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: | epidemic model Kermack-Mckendrick model nonlinear contact rate nonlinear infection effect |
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