Journal of Mathematical Biology

, Volume 66, Issue 6, pp 1339–1340 | Cite as

Erratum to: Integrodifference equations, Allee effects, and invasions

Erratum
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1 Erratum to: J Math Biol (2002) 44:150–168DOI 10.1007/s002850100116

The bottom curve in Fig. 4 was calculated or plotted incorrectly in the original publication of the article. The corrected figure and its caption are given below. This correction, however, does not affect the other results and conclusions in the original publication.

The authors wish to thank Michael Turelli, who wrote to say that Fig. 4 looked peculiar; he was right.

Fig. 4 The speed \(c\) as a function of \(\lambda \) for the Laplace \(( \alpha = 1.0)\), normal \(( \sigma = 1.0)\), exponential square root \(( \alpha = 1.0)\), and Cauchy \(( \alpha = 1.0)\) kernels and an Allee threshold of \(a = 0.5.\) The curves were computed using iterative scheme (3.5) with \(2 ^ { 14 }\) mesh points, order \(\lambda ^ { 500 }\), and upper limits of integration of \(L = 50, L = 30, L= 400\), and \(L = 6000\). The thin-tailed Laplace and normal distributions generate finite-speed traveling waves for all positive \(\lambda \). The speed diverges to infinity for the fat-tailed exponential square root distribution for some \(\lambda > 1\) and for the fat-tailed Cauchy distributions at or near \(\lambda = 1\)

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© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.Board of EducationAnne Arundel County Public SchoolsAnnapolisUSA
  2. 2.Department of Applied Mathematics, Box 352420University of WashingtonSeattleUSA
  3. 3.Biology DepartmentWoods Hole Oceanographic InstitutionWoods HoleUSA

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