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Numerical Approximation of a Free Boundary Problem for a Predator-Prey Model

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Numerical Analysis and Its Applications (NAA 2008)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5434))

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Abstract

This paper is concerned with the numerical approximation of a free boundary problem associated with a predator-prey ecological model. Taking into account the local dynamic of the system, a stable finite difference scheme is used, and numerical results are presented.

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References

  1. Amadori, A.L., Vazquez, J.L.: Singular free boundary problem from image processing. Math. Models Metthods in Appl. Sci. 15, 689–715 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  2. Arnăutu, V., Neittaanmaki, P.: Optimal Control from Theory to Computer Programs. Kluwer Academic Publishers, Dordrecht (2003)

    Book  MATH  Google Scholar 

  3. Calvo, N., Durany, J., Vazquez, C.: Numerical approach of temperature distribution in a free boundary model for polythermal ice sheets. Numerische Mathematik 83(4), 557–580 (1999)

    Article  MathSciNet  MATH  Google Scholar 

  4. Chen, X.F., Friedman, A.: A free boundary problem arising in a model of wound healing. SIAM J. Math. Anal. 32, 778–800 (2000)

    Article  MathSciNet  MATH  Google Scholar 

  5. Chen, X.F., Friedman, A.: A free boundary problem for an elliptic-hyperbolic system: an application to tumor growth. SIAM J. Math. Anal. 35, 974–986 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  6. Goodman, J., Ostrov, D.N.: On the early exercise boundary of the American put option. SIAM J. Appl. Math. 62, 1823–1835 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  7. Tao, Y.S., Chen, M.J.: An elliptic-hyperbolic free boudary problem modelling cancer therapy. Nonlinearity 19, 419–440 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  8. Lin, Z.: A free boundary problem for a predator-prey model. School of Mathematical Science, Yangzhou University, Yangzhou (2007)

    MATH  Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Mathematics and Informatics, University of Medicine and Pharmacy “Gr. T. Popa”, 700115, Iasi, Romania

    Răzvan Ştefănescu & Gabriel Dimitriu

Authors
  1. Răzvan Ştefănescu
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  2. Gabriel Dimitriu
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Editor information

Editors and Affiliations

  1. Institute for Parallel Processing, Bulgarian Academy of Sciences, Acad. G. Bonchev Str. Bl. 25-A, 1113, Sofia, Bulgaria

    Svetozar Margenov

  2. FNSE, Department of Numerical Methods and Statistics, University of Rousse, 8 Studentska str., 7017, Rousse, Bulgaria

    Lubin G. Vulkov

  3. Department of Informatics and Mathematical Modelling, Technical University of Denmark, 2800, Kongens, Lyngby, Denmark

    Jerzy Waśniewski

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© 2009 Springer-Verlag Berlin Heidelberg

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Ştefănescu, R., Dimitriu, G. (2009). Numerical Approximation of a Free Boundary Problem for a Predator-Prey Model. In: Margenov, S., Vulkov, L.G., Waśniewski, J. (eds) Numerical Analysis and Its Applications. NAA 2008. Lecture Notes in Computer Science, vol 5434. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-00464-3_64

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  • DOI: https://doi.org/10.1007/978-3-642-00464-3_64

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-00463-6

  • Online ISBN: 978-3-642-00464-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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