可重复感染的肺结核传播模型
An epidemic model of tuberculosis repeated infection
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摘要: 对于具有可接种且可重复感染的肺结核疾病,采用指数输入与标准发生率建立了传播模型,得到了无病平衡点,并研究了无病平衡点的局部以及全局稳定性.数值模拟验证了理论结果的正确性.Abstract: By index input and standard incidence rate,an epidemic model of tuberculosis repeated infection with inoculation disease was established.The disease-free equilibrium was obtained,and the disease-free equilibrium point of the local and global stability was studied.Numerical simulation results further verified the correctness of theoretical results.
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[1]
Ehiaghe F A,Ehiaghe I J,Aladenika S T.The characteristics of pulmonary tuberculosis amongst patients attending chest clinic,including age,sex,occupation and hemoglobin concentration in Benin city,Nigeria[J].Open Journal of Clinical Diagnostics,Scientific Research Publishing,2013,3(1):14.
-
[2]
杨俊元,王娟,李学志.具有重复感染和染病年龄结构的两菌株SIJR流行病模型分析[J].应用泛函分析学报,2007,9(4):371.
-
[3]
Li M Y,Wang L C.Global Stability in Some SEIR Epidemic Models[M].Berlin:Springer-Verlag,2002:295-311.
-
[4]
李春,李继光.一类仅在年龄低于M的人群中传播的SEIR传染病模型[J].郑州轻工业学院学报:自然科学版,2010,25(1):120.
-
[5]
马知恩,周义仓.常微分方程稳定性与稳定性方法[M].北京:科学出版社,2001:68-69.
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[1]
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