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Dispersion as a Survival Strategy

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Abstract

We consider stochastic growth models to represent population subject to catastrophes. We analyze the subject from different set ups considering or not spatial restrictions, whether dispersion is a good strategy to increase the population viability. We find out it strongly depends on the effect of a catastrophic event, the spatial constraints of the environment and the probability that each exposed individual survives when a disaster strikes.

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Acknowledgments

The authors are thankful to Rinaldo Schinazi and Elcio Lebensztayn for helpful discussions about the model. V. Junior and A. Roldán wish to thank the Instituto de Matemática e Estatística of Universidade de São Paulo for the warm hospitality during their scientific visits to that institute. The authors are thankful for the two anonymous referees for a careful reading and many suggestions and corrections that greatly helped to improve the paper. Valdivino Vargas was supported by PNPD-CAPES (1536114), Fábio Machado by CNPq (310829/2014-3) and Fapesp (09/52379-8) and Alejandro Roldan by CNPq (141046/2013-9).

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Authors and Affiliations

  1. Institute of Mathematics and Statistics, Federal University of Goias, Campus Samambaia, Goiânia, GO, CEP 74001-970, Brazil

    Valdivino Vargas Junior

  2. Statistics Department, Institute of Mathematics and Statistics, University of São Paulo, São Paulo, SP, CEP 05508-090, Brazil

    Fábio Prates Machado

  3. Instituto de Matemáticas, Universidad de Antioquia, Calle 67, no 53-108, Medellin, Colombia

    Alejandro Roldán-Correa

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  1. Valdivino Vargas Junior
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  2. Fábio Prates Machado
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  3. Alejandro Roldán-Correa
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Correspondence to Fábio Prates Machado.

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Junior, V.V., Machado, F.P. & Roldán-Correa, A. Dispersion as a Survival Strategy. J Stat Phys 164, 937–951 (2016). https://doi.org/10.1007/s10955-016-1571-3

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  • DOI: https://doi.org/10.1007/s10955-016-1571-3

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