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Original Articles

Backward bifurcations in simple vaccination/treatment models

Pages 410-418 | Received 21 Feb 2010, Accepted 12 Jul 2010, Published online: 28 Mar 2011

References

  • Brauer , F. 2004 . Backward bifurcations in simple vaccination models . J. Math. Anal. Appl. , 298 : 418 – 431 .
  • Dushoff , J. , Huang , W. and Castillo-Chavez , C. 1998 . Backwards bifurcations and catastrophe in simple models of fatal diseases . J. Math. Biol. , 36 : 227 – 248 .
  • Hadeler , K. P. and Castillo-Chavez , C. 1995 . A core group model for disease transmission . Math. Biosci. , 128 : 41 – 55 .
  • Hadeler , K. P. and van den Driessche , P. 1997 . Backward bifurcation in epidemic control . Math. Biosci. , 146 : 15 – 35 .
  • Kribs-Zaleta , C. M. 2001 . “ Center manifolds and normal forms in epidemic models ” . In Mathematical Approaches for Emerging and Re-emerging Infectious Diseases: An Introduction , Edited by: Castillo-Chavez , C. , Blower , S. , Kirschner , D. , van den Driessche , P. and Yakubu , A. A. 269 – 286 . New York : Springer-Verlag .
  • Kribs-Zaleta , C. M. and Velasco-Hernandez , J. X. 2000 . A simple vaccination model with multiple endemic states . Math. Biosci. , 164 : 183 – 201 .

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