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A Genetically Distinguishable Competition Model

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Modern Mathematical Methods and High Performance Computing in Science and Technology

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 171))

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Abstract

A mathematical ecogenetic model of competition type is presented. The system behavior is completely assessed, either analytically when possible or through numerical simulations. No sustained oscillations are possible, while the equilibria of the system are linked via a chain of transcritical bifurcations. The most important result of the investigation shows that the principle of competitive exclusion is possibly violated in suitable situations.

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References

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Acknowledgments

The study was partially supported by the project “Metodi numerici nelle scienze applicate” of the Dipartimento di Matematica “Giuseppe Peano”.

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Authors and Affiliations

  1. Dipartimento di Matematica “Giuseppe Peano”, Via Carlo Alberto 10, 10123, Torino, Italy

    Irene Azzali, Giulia Marcaccio, Rosanna Turrisi & Ezio Venturino

Authors
  1. Irene Azzali
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  2. Giulia Marcaccio
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  3. Rosanna Turrisi
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  4. Ezio Venturino
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Corresponding author

Correspondence to Ezio Venturino .

Editor information

Editors and Affiliations

  1. Department of Applied Mathematics, Raj Kumar Goel Institute of Technology, Ghaziabad, Uttar Pradesh, India

    Vinai K. Singh

  2. Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia, Canada

    H.M. Srivastava

  3. Dipartimento di Matematica, University of Turin, Torino, Italy

    Ezio Venturino

  4. High Performance Computing Center (HLRS), University of Stuttgart, Stuttgart, Baden-Württemberg, Germany

    Michael Resch

  5. Department of Mathematics, Netaji Subhas Institute of Technology, New Delhi, India

    Vijay Gupta

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© 2016 Springer Science+Business Media Singapore

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Azzali, I., Marcaccio, G., Turrisi, R., Venturino, E. (2016). A Genetically Distinguishable Competition Model. In: Singh, V., Srivastava, H., Venturino, E., Resch, M., Gupta, V. (eds) Modern Mathematical Methods and High Performance Computing in Science and Technology. Springer Proceedings in Mathematics & Statistics, vol 171. Springer, Singapore. https://doi.org/10.1007/978-981-10-1454-3_11

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