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

Tailei Zhang; Junli Liu; Zhidong Teng

Applications of Mathematics (2012)

  • Volume: 57, Issue: 6, page 601-616
  • ISSN: 0862-7940

Abstract

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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.

How to cite

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Zhang, Tailei, Liu, Junli, and Teng, Zhidong. "Existence of positive periodic solutions of an SEIR model with periodic coefficients." Applications of Mathematics 57.6 (2012): 601-616. <http://eudml.org/doc/246263>.

@article{Zhang2012,
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.},
author = {Zhang, Tailei, Liu, Junli, Teng, Zhidong},
journal = {Applications of Mathematics},
keywords = {epidemic model; Fredholm mapping; coincidence degree; epidemic model; coincidence degree; Fredholm mapping},
language = {eng},
number = {6},
pages = {601-616},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Existence of positive periodic solutions of an SEIR model with periodic coefficients},
url = {http://eudml.org/doc/246263},
volume = {57},
year = {2012},
}

TY - JOUR
AU - Zhang, Tailei
AU - Liu, Junli
AU - Teng, Zhidong
TI - Existence of positive periodic solutions of an SEIR model with periodic coefficients
JO - Applications of Mathematics
PY - 2012
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 57
IS - 6
SP - 601
EP - 616
AB - 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.
LA - eng
KW - epidemic model; Fredholm mapping; coincidence degree; epidemic model; coincidence degree; Fredholm mapping
UR - http://eudml.org/doc/246263
ER -

References

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