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Mathematical Biosciences and Engineering

2013, Volume 10, Issue 4: 1135-1157. doi: 10.3934/mbe.2013.10.1135
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Saturated treatments and measles resurgence episodes in South Africa: A possible linkage

  • 1.
    Department of Electrical and Information Engineering, University of Cassino and Southern Lazio, Via di Biasio 43, I-03043 Cassino
  • Received: 01 September 2012 Accepted: 29 June 2018 Published: 01 June 2013

  • MSC : Primary: 92B05, 34C23, 34C60.

  • We consider the case of measles in South Africa to show that an high vaccination coverage may be not enough - alone - to ensure measles eradication. The occurrence of certain epidemic episodes may in fact be encouraged by delays in the treatments or by not adequately fast clinical case management, which may be related to the backward bifurcation phenomenon as well as to an intriguing spiking dynamics which appears in the system for specific ranges of parameter values.

    Citation: Deborah Lacitignola. Saturated treatments and measles resurgence episodes in South Africa: A possible linkage[J]. Mathematical Biosciences and Engineering, 2013, 10(4): 1135-1157. doi: 10.3934/mbe.2013.10.1135

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  • We consider the case of measles in South Africa to show that an high vaccination coverage may be not enough - alone - to ensure measles eradication. The occurrence of certain epidemic episodes may in fact be encouraged by delays in the treatments or by not adequately fast clinical case management, which may be related to the backward bifurcation phenomenon as well as to an intriguing spiking dynamics which appears in the system for specific ranges of parameter values.


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