PESTE MODELO MATEMÁTICO

Page 50

where

  0 A= c2∞

 1  T  , b = (1 − u/us , 0) 0

(4.27)

Jordan conducts an in-depth analytical study of this system in Growth, decay and bifurcation of shock amplitudes under the type-II flux law [27], beginning by observing that the system is strictly hyperbolic. However, although he reaches an analytical solution for a travelling wave, it is complicated and beyond the scope of this project, especially as none of the feared ‘spontaneous outbreaks’ occurred during the simulations of the following chapter. Thus this model is not developed further, although it remains a possibility if a similar model is used for an even more virulent disease, such as measles.

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