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Existence and Uniqueness of Endemic States for the Age-structured MSEIR Epidemic Model

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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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Authors and Affiliations

  1. Department of Mathematics, Xinyang Teachers College, Henan, 464000, China

    Xue-zhi Li

  2. Department of Mathematics, Xinjiang University, Urumqi, 830046, China

    Geni Gupur

  3. Institute of Systemic Science, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing, 100080, China

    Guang-tian Zhu

Authors
  1. Xue-zhi Li
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  2. Geni Gupur
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  3. Guang-tian Zhu
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Corresponding author

Correspondence to Guang-tian Zhu.

Additional information

Supported by the Natural Science Foundation of Henan Province (No. 994051200).

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Li, Xz., Gupur, G. & Zhu, Gt. Existence and Uniqueness of Endemic States for the Age-structured MSEIR Epidemic Model. Acta Mathematicae Applicatae Sinica, English Series 18, 441–454 (2002). https://doi.org/10.1007/s102550200044

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  • DOI: https://doi.org/10.1007/s102550200044

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