Skip to main content
SpringerLink
Log in
Book cover

Computer Simulation Studies in Condensed-Matter Physics XIX pp 73–78Cite as

Fisher Waves and the Velocity of Front Propagation in a Two-Species Invasion Model with Preemptive Competition

  • Conference paper

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 123))

We consider an individual-based two-dimensional spatial model with nearest-neighbor preemptive competition to study front propagation between an invader and a resident species. In particular, we investigate the asymptotic front velocity and compare it with mean-field predictions

This is a preview of subscription content, log in via an institution.

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. J.D. Murray,Mathematical Biology I and II. 3rd edn. (Springer, New York, 2002, 2003)

    Google Scholar 

  2. E. Ben-Naim, Europhys. Lett.69, 671 (2005)

    Article  ADS  Google Scholar 

  3. R.A. Fisher, Annals of Eugenics7, 355 (1937)

    Google Scholar 

  4. A.N. Kolmogorov, I. Petrovsky, N. Piskounov, Moscow Univ. Bull. Math.1, 1 (1937)

    Google Scholar 

  5. J.A. Yasi, G. Korniss, T. Caraco, inComputer Simulation Studies in Condensed Matter Physics XVIII. Ed. by D.P. Landau, S.P. Lewis, and H.-B. Schüttler, Springer Proceedings in Physics (Springer, Berlin Heidelberg New York 2006) in press

    Google Scholar 

  6. L. O'Malley, J. Basham, J.A. Yasi, G. Korniss, A. Allstadt, T. Caraco, submitted to Theor. Popul. Biol. (preprint, 2005); arXiv:q-bio/0602023

    Google Scholar 

  7. G. Korniss, T. Caraco, J. Theor. Biol.233, 137 (2005)

    Article  MathSciNet  Google Scholar 

  8. L. O'Malley, A. Allstadt, G. Korniss, T. Caraco, inFluctuations and Noise in Biological, Biophysical, and Biomedical Systems III. Ed. by N.G. Stocks, D. Abbott, R.P. Morse. Proceedings of SPIE Vol. 5841 (SPIE, Bellingham, WA, 2005) pp. 117 –124

    Chapter  Google Scholar 

  9. J.B. Shurin, P. Amarasekare, J.M. Chase, R.D. Holt, M.F. Hoopes, M.A. Lei-bold, J. Theor. Biol.227, 359 (2004)

    Article  MathSciNet  Google Scholar 

  10. P. Amarasekare, Ecol. Lett.6, 1109 (2003)

    Article  Google Scholar 

  11. D.W. Yu, H.B. Wilson, Am. Nat.158, 49 (2001)

    Article  Google Scholar 

  12. D.E. Taneyhill, Ecol. Monogr.70, 495 (2000)

    Article  Google Scholar 

  13. B. Oborny, G. Meszéna, G. Szabó, Oikos109, 291 (2005)

    Article  Google Scholar 

  14. D.G. Aronson, H.F. Weinberger, Adv. Math.30, 33 (1978)

    Article  MATH  MathSciNet  Google Scholar 

  15. G. Dee, J.S. Langer, Phys. Rev. Lett.50, 383 (1983)

    Article  ADS  Google Scholar 

  16. W. van Saarloos, Phys. Rev. Lett.58, 2571 (1987)

    Article  ADS  Google Scholar 

  17. W. van Saarloos, Phys. Rep.386, 29 (2003)

    Article  MATH  ADS  Google Scholar 

  18. J. Riordan, C.R. Doering, D. ben-Avraham, Phys. Rev. Lett.75, 565 (1995)

    Article  ADS  Google Scholar 

  19. D. ben-Avraham, Phys. Lett.247, 53 (1998)

    Article  Google Scholar 

  20. C.P. Warren, G. Mikus, E. Somfai, L.M. Sander, Phys. Rev. E63, 056103 (2001)

    Article  ADS  Google Scholar 

  21. E. Brunet, B. Derrida, Phys. Rev. E56, 2597 (1997)

    Article  ADS  MathSciNet  Google Scholar 

  22. D.A. Kessler, Z. Ner, L.M. Sander, Phys. Rev. E58, 107 (1998)

    Article  ADS  Google Scholar 

  23. D.A. Kessler, H. Levine, Nature394, 556 (1998)

    Article  ADS  Google Scholar 

  24. C.R. Doering, C. Mueller, P. Smereka, Physica A325, 243 (2003)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  25. J.G. Conlon, C.R. Doering, J. Stat. Phys.120, 421 (2005)

    Article  MATH  ADS  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics, Applied Physics, and Astronomy, Rensselaer Polytechnic Institute, 110 8th Street, Troy, NY, 12180-3590, USA

    L. O'Malley, B. Kozma & G. Korniss

  2. Institute for Theoretical Physics, HAS, Eotvos University, Pazmany setany 1/a, 1117, Budapest, Hungary

    Z. Racz

  3. Department of Biological Sciences, University at Albany, Albany, NY, 12222, USA

    T. Caraco

Authors
  1. L. O'Malley
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. B. Kozma
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. G. Korniss
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Z. Racz
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. T. Caraco
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Center for Simulational Physics, The University of Georgia, 30602-2451, Athens, GA, USA

    D. P. Landau Ph.D. , S. P. Lewis Ph.D.  & H. B. Schöttler Ph.D. ,  & 

Rights and permissions

Reprints and permissions

Copyright information

© 2009 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

O'Malley, L., Kozma, B., Korniss, G., Racz, Z., Caraco, T. (2009). Fisher Waves and the Velocity of Front Propagation in a Two-Species Invasion Model with Preemptive Competition. In: Landau, D.P., Lewis, S.P., Schöttler, H.B. (eds) Computer Simulation Studies in Condensed-Matter Physics XIX. Springer Proceedings in Physics, vol 123. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-85625-2_11

Download citation

Publish with us

Policies and ethics

Search

Navigation