Time series of model (2) showing the impact of a slow change on parameter values<i>θ</i>, <i>δ</i>, <i>p</i><sub>1</sub> and <i>p</i><sub>2</sub> with respect to time in order to reduce the TB burden by 20% within 15 years.
posted on 2015-04-13, 06:06authored byDany Pascal Moualeu-Ngangue, Susanna Röblitz, Rainald Ehrig, Peter Deuflhard
<p>Solid lines present the model predictions for TB dynamics using parameter values of <a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0120607#pone.0120607.t002" target="_blank">Table 2</a> and the dashed lines present the trajectories for parameters <i>θ</i>, <i>δ</i>, <i>p</i><sub>1</sub> and<i>p</i><sub>2</sub> set as in <a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0120607#pone.0120607.e047" target="_blank">Equation (18)</a>. Parameter identification with artificial data gave<i>p</i><sub><i>δ</i></sub> = 8.56043⋅10<sup>7</sup>, <i>θ</i><sub><i>δ</i></sub> = 81.2807, <i>δ</i><sub><i>δ</i></sub> = 37.2240. All other parameters are defined as in <a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0120607#pone.0120607.t002" target="_blank">Table 2</a>.</p>