Dr. Mark Lewis

Dr. Mark Lewis
Office: DTB A533

Areas of research focus

  • Animal movement modelling
  • Ecological dynamics in aquatic systems
  • Population spread and invasive species
  • Wildlife disease modelling

I work on mathematical problems in spatial ecology.  My research is interdisciplinary and involves a variety of approaches, ranging from analysis of nonlinear mathematical models to field work.  Some of the Lewis Research Group are in the lab in Biology and others work in Mathematics and Statistics at the University of Victoria.  Current projects associated with the Areas of research focus, include:

Animal movement modelling: continuous and discrete-time animal movement models, memory and animal movement, learning and animal movement

Ecological dynamics in aquatic systems: dynamics of polar bear populations and movement on sea ice, ecological dynamics of cyanobacteria, spot prawn population dynamics and management, coral reef dynamics

Population spread and invasive species: models for spreading populations, mountain pine beetle dynamics, response of population to climate change, genetic diversity of spreading populations, zebra mussel spread and control

Wildlife disease modelling: sea lice infections in networks of salmon farms, spatio-temporal dynamics of macroparasites, dynamics of chronic wasting disease in deer

  • Fall 2022: Math 475/575 (Topics in Mathematical Biology)

  1. Hamelin, F., Mammeri, Y., Aigu, Y., Strelkov, S.E., Lewis, M.A. (2022) Host diversification may split epidemic spread into two successive fronts advancing at different speeds. Bulletin of Mathematical Biology 84:68 https://doi.org/10.1007/s11538-022-01023-5.
  2. Xu, J., Merrill, E., Lewis, M.A. (2022) Spreading speed of chronic wasting disease across deer groups with overlapping home ranges. Journal of Theoretical Biology 547: 111135 https://doi.org/10.1016/j.jtbi.2022.111135.
  3. Thompson, P.R., Derocher, A.E., Edwards, M.A., Lewis, M.A. (2021) Detecting seasonal episodic-like spatio-temporal memory patterns using animal movement modelling. Methods of Ecology and Evolution (epub) https://doi.org/10.1111/2041-210X.13743
  4. Ramazi, P., Haratian, A., Meghdadi, M., Mari Oriyad, A., Lewis, M.A., Maleki, Z., Vega, R., Wang, H., Wishart, D., Greiner, R. (2021) Accurate long-range forecasting of COVID-19 mortality in the USA Scientific Reports 11:13822 https://doi.org/10.1038/s41598-021-91365-2
  5. Lewis, M.A., Fagan, W., Auger-Méthé, M., Frair, J., Fryxell, J., Gros, C., Gurarie, E., Healy, S., Merkle, J. (2021) Learning and animal movement. In press at Frontiers in Ecology and Evolution DOI: 10.22541/au.159285496.64901842
  6. Ramazi, P., Kunegel-Lion, M., Greiner, R., Lewis, M.A. (2021) Exploiting the Full Potential of Bayesian Networks in Predictive Ecology. Methods in Ecology and Evolution, 12(1): 135-149. https://doi.org/10.1111/2041-210X.13509
  7. Peacock, S.J., Krkošek, M., Lewis, M.A., Molnár, P.K. (2020) A unifying framework for the transient parasite dynamics of migratory hosts. Proceedings of the National Academy of Sciences, 117(20): 10897-10903. https://doi.org/10.1073/pnas.1908777117
  8. Heggerud, C.M., Wang, H., Lewis, M.A. (2020) Transient dynamics of a stoichiometric cyanobacteria model via multiple-scale analysis. SIAM Journal on Applied Math, 80(3): 1223-1246. https://doi.org/10.1137/19M1251217
  9. Marculis, N.G., Lewis, M.A. (2020) Inside dynamics of integrodifference equations with mutations. Bulletin of Mathematical Biology, 82: 7. https://doi.org/10.1007/s11538-019-00683-0
  10. Peacock, S.J., Krkošek, M. Bateman, A.W., Lewis, M.A. (2020) Estimation of spatiotemporal transmission dynamics and analysis of management scenarios for sea lice of farmed and wild salmon. Canadian Journal of Fisheries and Aquatic Science, 77(1): 55-68. https://doi.org/10.1139/cjfas-2019-0036