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Turing Analysis of a Mathematical Model for Interaction between Tumor Cell and Its Inhibitor

Author

Listed:
  • Serdal Pamuk

    (Department of Mathematics, University of Kocaeli, Umuttepe Campus, 41380, Kocaeli – Turkey)

  • Irem Cay

    (Department of Mathematics, University of Kocaeli, Umuttepe Campus, 41380, Kocaeli - Turkey)

Abstract

This work has been presented at ICFAS2016, †International Congress on Fundamental and Applied Sciences, 22-26 Aug, 2016, Istanbul, Turkey†. In this paper we present a 2D mathematical model which is related to the interaction between tumor cell and its inhibitor. We obtain some necessary conditions in order for Turing instability to occur. We also provide some numerical examples to verify our theoretical results.

Suggested Citation

  • Serdal Pamuk & Irem Cay, 2017. "Turing Analysis of a Mathematical Model for Interaction between Tumor Cell and Its Inhibitor," Academic Journal of Applied Mathematical Sciences, Academic Research Publishing Group, vol. 3(5), pages 46-51, 05-2017.
    • Handle: RePEc:arp:ajoams:2017:p:46-51
    DOI: arpgweb.com/?ic=journal&journal=17&info=aims
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    References listed on IDEAS

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    1. Karaoglu, Esra & Merdan, Huseyin, 2014. "Hopf bifurcations of a ratio-dependent predator–prey model involving two discrete maturation time delays," Chaos, Solitons & Fractals, Elsevier, vol. 68(C), pages 159-168.
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