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Existence of positive periodic solutions of an SEIR model with periodic coefficients
Authors:Tailei Zhang  Junli Liu  Zhidong Teng
Institution:1. School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an, 710049, P.R.China
2. School of Science, Xi’an Polytechnic University, Xi’an, 710048, P.R. China
3. College of Mathematics and System Sciences, Xinjiang University, Urumqi, 830046, P.R.China
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.
Keywords:
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