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Existence of positive periodic solutions of an SEIR model with periodic coefficients

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Abstract

An SEIR model with periodic coefficients in epidemiology is considered. The global existence of periodic solutions with strictly positive components for this model is established by using the method of coincidence degree. Furthermore, a sufficient condition for the global stability of this model is obtained. An example based on the transmission of respiratory syncytial virus (RSV) is included.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an, 710049, P.R.China

    Tailei Zhang

  2. School of Science, Xi’an Polytechnic University, Xi’an, 710048, P.R. China

    Junli Liu

  3. College of Mathematics and System Sciences, Xinjiang University, Urumqi, 830046, P.R.China

    Zhidong Teng

Authors
  1. Tailei Zhang
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  2. Junli Liu
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  3. Zhidong Teng
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Correspondence to Tailei Zhang.

Additional information

This work was supported by the National Natural Science Foundation of P.R.China (11001215, 10961022, 11101323).

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Zhang, T., Liu, J. & Teng, Z. Existence of positive periodic solutions of an SEIR model with periodic coefficients. Appl Math 57, 601–616 (2012). https://doi.org/10.1007/s10492-012-0036-5

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