1990 …2020

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Personal profile

Research interests

My research concerns the application of mathematics to problems in ecology, cell biology and medicine. The objective is this research is to use mathematics to obtain a better understanding of complex behaviour in biology. Often this involves developing new mathematics in order to study the mathematical models. Specific topics on which my research is focussed include spatiotemporal dynamics of cyclic populations, vegetation patterns in semi-arid environments, and long-range cell-cell interactions in developmental biology and tumour growth.


I have been Professor of Mathematics at Heriot-Watt University since January 1998. I was an undergraduate at the University of Cambridge (1985-1988), followed by graduate work at the University of Washington. My doctorate from the University of Oxford (1991) was supervised by J.D. Murray, FRS. I did postdoctoral work at Oxford, and was a Lecturer(1994-1997) and then Senior Lecturer (1997) at the University of Warwick before moving to Heriot-Watt.

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Research Output

An integrodifference model for vegetation patterns in semi-arid environments with seasonality

Eigentler, L. & Sherratt, J. A., Sep 2020, In : Journal of Mathematical Biology. 81, 3, p. 875-904 30 p.

Research output: Contribution to journalArticle

Open Access
  • 2 Downloads (Pure)

    Effects of precipitation intermittency on vegetation patterns in semi-arid landscapes

    Eigentler, L. & Sherratt, J. A., Apr 2020, In : Physica D: Nonlinear Phenomena. 405, 132396.

    Research output: Contribution to journalArticle

  • 4 Citations (Scopus)

    Spatial self-organisation enables species coexistence in a model for savanna ecosystems

    Eigentler, L. & Sherratt, J. A., 21 Feb 2020, In : Journal of Theoretical Biology. 487, 110122.

    Research output: Contribution to journalArticle

  • 2 Citations (Scopus)
    Open Access
  • 1 Citation (Scopus)
    5 Downloads (Pure)

    Metastability as a Coexistence Mechanism in a Model for Dryland Vegetation Patterns

    Eigentler, L. & Sherratt, J. A., Jul 2019, In : Bulletin of Mathematical Biology. 81, 7, p. 2290-2322 33 p.

    Research output: Contribution to journalArticle

  • 6 Citations (Scopus)