Frithjof Lutscher

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Frithjof Lutscher
Full Professor and Assistant Chair - Research

Dipl. Math.
Ph.D. (Tuebingen)

Room: STM 525
Office: 613-562-5800 ext. 3510
Work E-mail: flutsche@uOttawa.ca

Biography

Research focuses on developing and analyzing mathematical models for spatio-temporal dynamics of complex, non-linear biological systems. Mathematically, this results in qualitative analysis of dynamical systems, given by ordinary or partial differential equations, integro-difference- or integro-differential equations. Several analytical and numerical approaches are used to investigate bifurcations, traveling waves and other phenomena. Biologically, topics come from spatial ecology and evolution: species invasions, habitat fragmentation, persistence and coexistence in rivers, adaptation, disease and resistance.

Selected publications:

  • F. Lutscher, X. Wang (2020) Reactivity of communities at equilibrium and periodic orbits. Journal of Theoretical Biology 493: 110240
  • E. Crone, L. Brown, J Hodgson, F. Lutscher and C. Schultz (2019)
  • Faster movement in habitat matrix promotes faster range shifts in heterogeneous landscapes. Ecology 100(7): e02701
  • A. Bourgeois, V. LeBlanc, F. Lutscher (2018), Spreading phenomena in integrodifference equations with non-monotone growth functions. SIAM Appl Math 78(6): 2950-2972
  • F. Lutscher and J. Musgrave (2017), Behavioral responses to resource heterogeneity can accelerate biological invasions. Ecology 98(5): 1229-1238
  • R. Tyson and F. Lutscher (2016), Seasonally Varying Predation Behavior and Climate Shifts Are Predicted to Affect Predator-Prey Cycles. American Naturalist 188(5): 539-553

Supervised Students and Postdocs:

  • Graduate Students:
    • Maryam Basiri
    • Jane MacDonald
    • Nazanin Zaker
    • Laurence Ketchemen
  • Postdoctoral Researchers:
    • Sebastien Portalier

Research Group(s): Applied Mathematics

Affiliations:

  • Department of Biology
  • Member of CAMBAM
  • Member of CRM

Fields of Interest

  • Differential equations
  • Dynamic systems
  • Mathematical biology
  • Spatial ecology and evolution
  • Biological invasion
  • Conservation biology
  • River ecosystems
  • Ordinary and partial differential equations
  • Integrodifference equations
  • Bifurcations
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