| Existence and Uniqueness of Endemic States for the Age-structured MSEIR Epidemic Model |
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| 作者姓名： | Geni Gupur |
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| 作者单位： | Department of |
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| 基金项目： | the Natural Science Foundation of Henan Province (No.994051200). |
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| 摘 要： | The existence and uniqueness of positive steady states for the age-structured MSEIR epidemic model with age-dependent transmission coefficient is considered. Threshold results for the existence of endemic states are established; under certain conditions, uniqueness is also shown.
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Existence and Uniqueness of Endemic States for the Age-structured MSEIR Epidemic Model |
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| Geni Gupur.Existence and Uniqueness of Endemic States for the Age-structured MSEIR Epidemic Model[J].Acta Mathematicae Applicatae Sinica,2002,18(3):441-454. |
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| Authors: | Xue-zhi Li Geni Gupur Guang-tian Zhu |
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| Institution: | (1) Department of Mathematics, Xinyang Teachers College, Henan 464000, China, CN;(2) Department of Mathematics, Xinjiang University, Urumqi 830046, China, CN;(3) Institute of Systemic Science, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China (E-mail: zhugt@mail.amss.ac.cn), CN |
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| Abstract: | The existence and uniqueness of positive steady states for the age-structured MSEIR epidemic model with age-dependent transmission coefficient is considered. Threshold results for the existence of endemic states are established; under certain conditions, uniqueness is also shown. |
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| Keywords: | MSEIR epidemic model age-structure Co-semigroup abstract Cauchy problem endemic state threshold value |
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