Geodesic
Existence of positive periodic solutions of an SEIR model with periodic coefficients
Applications of Mathematics, Tome 57 (2012) no. 6, pp. 601-616.

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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.
DOI : 10.1007/s10492-012-0036-5
Classification : 34C25, 34C60, 47N20, 54H25, 92D30
Keywords: epidemic model; Fredholm mapping; coincidence degree 
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     title = {Existence of positive periodic solutions of an {SEIR} model with periodic coefficients},
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Zhang, Tailei; Liu, Junli; Teng, Zhidong. Existence of positive periodic solutions of an SEIR model with periodic coefficients. Applications of Mathematics, Tome 57 (2012) no. 6, pp. 601-616. doi : 10.1007/s10492-012-0036-5. http://geodesic.mathdoc.fr/articles/10.1007/s10492-012-0036-5/

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