| An SIS Epidemic Model with Stage Structure and a Delay |
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| 作者姓名： | Yan-ni Xiao Lan-sun ChenAcademy of Mathematics and System Sciences Chinese Academy of Sciences. Beijing . China |
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| 作者单位： | Yan-ni Xiao，Lan-sun ChenAcademy of Mathematics and System Sciences，Chinese Academy of Sciences. Beijing 100080. China |
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| 基金项目： | the K.C. Wong Education Foundation, Hong Kong and Partly by the China Postdoctoral Science Foundation. |
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| 摘 要： | A disease transmission model of SIS type with stage structure and a delay is formulated. Stability of the disease free equilibrium, and existence, uniqueness, and stability of an endemic equilibrium, are investigated for the model. The stability results arc stated in terms of a key threshold parameter. The effects of stage structure and time delay on dynamical behavior of the infectious disease are analyzed. It is shown that stage structure has no effect on the epidemic model and Hopf bifurcation can occur as the time delay increases.
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An SIS Epidemic Model with Stage Structure and a Delay |
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| Yan-ni Xiao,Lan-sun ChenAcademy of Mathematics and System Sciences,Chinese Academy of Sciences. Beijing . China.An SIS Epidemic Model with Stage Structure and a Delay[J].Acta Mathematicae Applicatae Sinica,2002,18(4):607-618. |
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| Authors: | Yan-ni Xiao Lan-sun Chen |
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| Institution: | (1) Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China (E-mail: xyn@math03.math.ac.cn, lschen@math08.math.ac.cn), CN |
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| Abstract: | A disease transmission model of SIS type with stage structure and a delay is formulated. Stability of the disease free equilibrium, and existence, uniqueness, and stability of an endemic equilibrium, are investigated for the model. The stability results arc stated in terms of a key threshold parameter. The effects of stage structure and time delay on dynamical behavior of the infectious disease are analyzed. It is shown that stage structure has no effect on the epidemic model and Hopf bifurcation can occur as the time delay increases. |
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| Keywords: | SIS epidemic model threshold globally asymptotically stable hopf bifurcation stage structure |
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