Applications of Mathematics

, Volume 57, Issue 6, pp 601–616

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


DOI: 10.1007/s10492-012-0036-5

Cite this article as:
Zhang, T., Liu, J. & Teng, Z. Appl Math (2012) 57: 601. doi:10.1007/s10492-012-0036-5


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.


epidemic model coincidence degreeFredholm mapping

MSC 2010


Copyright information

© Institute of Mathematics of the Academy of Sciences of the Czech Republic, Praha, Czech Republic 2012

Authors and Affiliations

  1. 1.School of Mathematics and StatisticsXi’an Jiaotong UniversityXi’anP.R.China
  2. 2.School of ScienceXi’an Polytechnic UniversityXi’anP.R. China
  3. 3.College of Mathematics and System SciencesXinjiang UniversityUrumqiP.R.China