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The Africanized honey bee dispersal: A mathematical zoom

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An Erratum to this article was published on 01 September 2005

Abstract

A general mathematical model for population dispersal featuring long range taxis is presented and exemplified by the dispersal episode of the Africanized honey bees (Apis mellifera adansonii) throughout the American Continent. The mathematical model is a discrete-time and nonlocal model represented by an integrodifference recursion. A newtaxis concept is defined and introduced into the mathematical model by an appropriate modification of the redistribution kernel. The model is capable of predicting the natural barrier for the expansion of the Africanized honey bees in the southern part of the Continent due to low winter temperatures. It also describes a sensitive expansion velocity with respect to the quality of resources, which can explain the AHB’s astounding spread rate, by using two different kinds of population dynamics strategies, one for a resourceful environment and the other for poor regions.

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Authors and Affiliations

  1. Departamento de Matemática-CCNE, Universidade Federal de Santa Maria, Santa Maria/RS, Brazil

    Diomar Cristina Mistro & Luiz Alberto Díaz Rodrigues

  2. Departamento de Matemática Aplicada-IMECC, Universidade Estadual de Campinas, Campinas/SP, Brazil

    Wilson Castro Ferreira Jr.

Authors
  1. Diomar Cristina Mistro
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  2. Luiz Alberto Díaz Rodrigues
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  3. Wilson Castro Ferreira Jr.
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Correspondence to Diomar Cristina Mistro.

Additional information

An erratum to this article is available at http://dx.doi.org/10.1016/j.bulm.2005.05.001.

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Mistro, D.C., Rodrigues, L.A.D. & Ferreira, W.C. The Africanized honey bee dispersal: A mathematical zoom. Bull. Math. Biol. 67, 281–312 (2005). https://doi.org/10.1016/j.bulm.2004.07.006

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