学术
一类具有二次感染和接种的两病株流行病模型
蔡礼明[1,2] 李学志[2] 于景元[1]
[1]北京信息控制研究所,北京100037 [2]信阳师院数学与信息科学院,河南南阳464000
摘 要:
本文考虑了一类具有二次感染和接种的两病株流行病模型，通过定义每一病株的基本再生数和侵入再生数，我们分析了非负平衡态的稳定性并获得了这样结论：对于较低的接种水平，病株一感染者处于支配地位而病株二感染者将从易感人群中消失，对于非常高的接种水平，疾病将均被消除。[著者文摘]
文章出处:
《应用数学》-2007年20卷2期 -328-335页
分 类 号:
文献标识码:
A
文章编号:
1001-9847（2007）02-0328-08
A Two-strain Epidemic Model with Super-infection and Vaccination
CAI Li-ming,LI Xue-zhi , YU Jing-yuan （1. Beijing Institutes of Information Control, Beijing 100037, China 2. College of Mathematics and Information Science, Xinyang Normal University, Xinyang 464000, China）
Abstract:
In this paper, a two-strain epidemic model with super-infection and vaccination is proposed and analyzed. By defining the basic reproduction number of each strain and the invasion reproduction numbers, stability of nonegative equilibria is analyzed, respectively. We obtain the conclusion that for the low vaccination level, the infectious individuals for strain one dominate while the infectious individuals for strain two will vanish from the susceptible population;for the sufficiently high vaccination level,the disease will be eradicated.[著者文摘]
Key words:
Strain Vaccination Super-infection ; Stability
基金资助:
Supported by the Natural Science Foundation of China（10671166）
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