An epidemic model with a time delay in transmission

Q. J. A. Khan; E. V. Krishnan

Applications of Mathematics (2003)

  • Volume: 48, Issue: 3, page 193-203
  • ISSN: 0862-7940

Abstract

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We study a mathematical model which was originally suggested by Greenhalgh and Das and takes into account the delay in the recruitment of infected persons. The stability of the equilibria are also discussed. In addition, we show that the introduction of a time delay in the transmission term can destabilize the system and periodic solutions can arise by Hopf bifurcation.

How to cite

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Khan, Q. J. A., and Krishnan, E. V.. "An epidemic model with a time delay in transmission." Applications of Mathematics 48.3 (2003): 193-203. <http://eudml.org/doc/33144>.

@article{Khan2003,
abstract = {We study a mathematical model which was originally suggested by Greenhalgh and Das and takes into account the delay in the recruitment of infected persons. The stability of the equilibria are also discussed. In addition, we show that the introduction of a time delay in the transmission term can destabilize the system and periodic solutions can arise by Hopf bifurcation.},
author = {Khan, Q. J. A., Krishnan, E. V.},
journal = {Applications of Mathematics},
keywords = {epidemic model; time delay; Hopf bifurcation; equilibrium analysis; differential equations; epidemic model; time delay; Hopf bifurcation; equilibrium analysis; differential equations},
language = {eng},
number = {3},
pages = {193-203},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {An epidemic model with a time delay in transmission},
url = {http://eudml.org/doc/33144},
volume = {48},
year = {2003},
}

TY - JOUR
AU - Khan, Q. J. A.
AU - Krishnan, E. V.
TI - An epidemic model with a time delay in transmission
JO - Applications of Mathematics
PY - 2003
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 48
IS - 3
SP - 193
EP - 203
AB - We study a mathematical model which was originally suggested by Greenhalgh and Das and takes into account the delay in the recruitment of infected persons. The stability of the equilibria are also discussed. In addition, we show that the introduction of a time delay in the transmission term can destabilize the system and periodic solutions can arise by Hopf bifurcation.
LA - eng
KW - epidemic model; time delay; Hopf bifurcation; equilibrium analysis; differential equations; epidemic model; time delay; Hopf bifurcation; equilibrium analysis; differential equations
UR - http://eudml.org/doc/33144
ER -

References

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