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Coupled Map Lattice Model for Insects and Spreadable Substances

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Ecological Modelling Applied to Entomology

Part of the book series: Entomology in Focus ((ENFO,volume 1))

Abstract

Understanding the spreading dynamics of insects and particles naturally or artificially associated with them, such as seeds, pollen, repellents or insecticides, is of paramount importance for pest management and conservation programs. Insects and chemical or natural products exhibit dispersal patterns that depend on the environment where they are and their respective sizes. In this chapter, we present a Coupled Map Lattice formalism to investigate the theoretical dynamics of the spread of insects and chemical substances sprayed over them. The models consider a habitat with abundant resources and therefore insects moving only in response to chemical concentrations. Diffusion and wind are the mechanisms used to spread chemical substances. Continuous and discrete models are used to describe the system on a macroscopic scale. The results are discussed taking into account rules for movement, escape behaviour and integrated pest management strategies.

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Acknowledgements

DCM and LADR have been supported by FAPERGS, grants number 12/2199-1 and 12/2133-4, respectively. The authors thank Nicolas Z. Coelho for the technical assistance with Figs. 7.3–7.7.

Author information

Authors and Affiliations

  1. Departamento de Matemática, Universidade Federal de Santa Maria, Santa Maria, RS, Brasil

    Luiz Alberto D. Rodrigues & Diomar C. Mistro

  2. Instituto de Matemática, Universidade Federal do Rio Grande do Sul, Porto Alegre, RS, Brazil

    Maria C. Varriale

  3. Departamento de Entomologia e Acarologia, Escola Superior de Agricultura “Luiz de Queiroz”, Universidade de São Paulo, Piracicaba, São Paulo, Brasil

    Wesley A. C. Godoy

Authors
  1. Luiz Alberto D. Rodrigues
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  2. Maria C. Varriale
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  3. Wesley A. C. Godoy
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  4. Diomar C. Mistro
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Corresponding author

Correspondence to Luiz Alberto D. Rodrigues .

Editor information

Editors and Affiliations

  1. Instituto de Biociências, Universidade Estadual Paulista Departamento de Bioestatistica, Botucatu, São Paulo, Brazil

    Cláudia P. Ferreira

  2. Escola Superior de Agricultura, “Luiz de Queiroz”,, Universidade de São Paulo Dept. de Entomologia e Acarologia, Piracicaba, São Paulo, Brazil

    Wesley A.C Godoy

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Rodrigues, L.A.D., Varriale, M.C., Godoy, W.A.C., Mistro, D.C. (2014). Coupled Map Lattice Model for Insects and Spreadable Substances. In: Ferreira, C., Godoy, W. (eds) Ecological Modelling Applied to Entomology. Entomology in Focus, vol 1. Springer, Cham. https://doi.org/10.1007/978-3-319-06877-0_7

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