Quenched random growth rates make FKPP fronts travel faster on average by a universal factor times the disorder variance and produce diffusive position fluctuations whose strength also scales with the square of the variance.
<i>Mathematical Biology: I: An Introduction. <i>Third Edition. Interdisciplinary Applied Mathematics, Volume 17</i></i>. <i>By </i>J D Murray. <i>New York: Springer</i>. $59.95. xxiii + 551 p; ill.; index. ISBN: 0–387–95223–3. 2002.<i>Mathematical Biology: II: Spatial Models and Biomedical Applications. <i>Third Edition. Interdisciplinary Applied Mathematics, Volume 18</i></i>. <i>By </i>J D Murray. <i>New York: Springer</i>. $79.95. xxv + 811 p; ill.; index. ISBN: 0–387–95228–4. 2003
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FKPP fronts in quenched random media
Quenched random growth rates make FKPP fronts travel faster on average by a universal factor times the disorder variance and produce diffusive position fluctuations whose strength also scales with the square of the variance.