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

• DOI: 10.1007/s10492-012-0036-5
• Publication Date: 2013-01-09T17:46:22Z
• Authors: Tailei Zhang; Junli Liu; Zhidong Teng
• Keywords: Periodic function

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.