 
Mark Kot
Associate Professor of Applied Mathematics
Address: 
Department of Applied Mathematics 

Box 353925 

University of Washington 

Seattle, WA 981953925 
Phone: 
(206) 5430908 
Fax: 
(206) 6851440 
Email: 
mark_kot@comcast.net 
Education
Ph.D. (1987) 
 
Ecology and Evolutionary Biology 


University of Arizona, Tucson, Arizona 
M.S. (1987) 
 
Ecology an Evolutionary Biology 


University of Arizona, Tucson, Arizona 
M.S. (1984) 
 
Applied Mathematics 


University of Arizona, Tucson, Arizona 
M.S. (1979) 
 
Theoretical and Applied Mechanics 


Cornell University, Ithaca, New York 
B.A. (1977) 
 
Physics/Applied Mathematics 


New College, Sarasota, Florida 
Research
My research is at the interface between applied mathematics and ecology and evolutionary biology.
I model the dynamics of biological populations, use mathematics to shed light on the abundance
and distribution of biological populations, and use biology to motivate interesting mathematical problems.
In recent years, my research has centered on integrodifference equations. These are discretetime,
continuousspace models for the growth and spread of biological populations. Integrodifference
equations readily incorporate a range of dispersal mechanisms. They appear to be both more flexible
and more realistic than simple reactiondiffusion models. Integrodifference equations are extremely
useful for modeling biological invasions and for modelling the effects of climate change.
In addition to my longstanding interest in integrodifference equations, I am also interested
in understanding how simple ecological models can give rise to complex or chaotic dynamics and
in a broad range of other ecological and evolutionary models and analyses.
Publications
Books

Kot, M. 2014.
A First course in the Calculus of Variations.
American Mathematical Society, Providence, Rhode Island, USA, ix + 298 pp.

Kot, M. 2001.
Elements of Mathematical Ecology.
Cambridge University Press, Cambridge, UK, x + 453 pp.
(2nd corrected printing in 2003)
Submitted Papers

Kot, M. and Phillips, A. 2014.
Bounds for the critical speed of climatedriven movinghabitat models.
Submitted for publication.
Published Papers

Harsch, M., Zhou, Y., HilleRisLambers, J., and Kot, M. 2014.
Keeping pace with climate warming: stagestructured movinghabitat models.
American Naturalist, 184, 2537.

Zhou, Y. and Kot, M. 2013.
Life on the move: modeling the effects of climatedriven range shifts with integrodifference equations.
In, M. A. Lewis, P. K. Maini, and S. V. Petrovskii (eds.),
Dispersal, Individual Movement and Spatial Ecology: A Mathematical Perspective,
Springer, Berlin, Germany, pp. 263292.

Kot, M., Lewis, M. A., and Neubert, M. G. 2012. Integrodifference equations.
In, A. Hastings and L. Gross (eds.), Encyclopedia of Theoretical Ecology,
University of California Press, Berkeley, California, pp. 382384.

Zhou, Y. and Kot, M. 2011. Discretetime growthdispersal models with shifting species ranges.
Theoretical Ecology, 4, 1325.

Seo, G. and Kot, M. 2009. The dynamics of a simple laissezfaire model with two predators.
Mathematical Biosciences and Engineering, 6, 145172.

Kot, M. and Neubert, M. G. 2008. Saddlepoint approximations, integrodifference equations, and Invasions.
Bulletin of Mathematical Biology, 70, 17901826.

Seo, G. and Kot, M. 2008
A comparison of two predatorprey models with Holling's type I functional response.
Mathematical Biosciences, 212, 161179.

Toth, D. and Kot, M. 2006.
Limit cycles in a chemostat model for a single species with age structure.
Mathematical Biosciences, 202, 194217.

Kot, M. 2005.
Torus bubbling in a discretetime predatorprey model.
Journal of Difference Equations and Applications, 11, 431441.
erratum

Kot, M., Medlock, J., Reluga, T., and Walton, D. B. 2004.
Stochasticity, invasions, and branching random walks.
Theoretical Population Biology, 66, 175184.

Medlock, J. and Kot, M. 2003.
Spreading disease: integrodifferential equations old and new.
Mathematical Biosciences, 184, 201222.

Kot, M., Silverman, E., and Berg, C. A. 2003.
Zipf's law and the diversity of biology newsgroups.
Scientometrics, 56, 247257.

Kot, M. 2002.
Do invading organisms do the wave?
Canadian Applied Mathematics Quarterly, 10, 139170.

Wang, M.H., Kot, M., and Neubert, M. G. 2002.
Integrodifference equations, Allee effects, and invasions.
Journal of Mathematical Biology, 44, 150168.

Silverman, E. D., Kot, M. and Thompson, E. 2001.
Testing a simple stochastic model for the dynamics of waterfowl aggregations.
Oecologia, 128, 608617.

Wang, M.H. and Kot, M. 2001.
Speeds of invasion in a model with strong or weak Allee effects.
Mathematical Biosciences, 171, 8397.

Neubert, M. G., Kot, M., and Lewis, M. A. 2000.
Invasion speeds in fluctuating environments.
Proceedings of the Royal Society of London B, 267, 16031610.
(Errata: 267, 25682569).

Silverman, E. and Kot, M. 2000.
Rate estimation for a simple movement model.
Bulletin of Mathematical Biology, 62, 351375.

Kot, M., Lewis, M., and van den Driessche, P. 1996.
Dispersal data and the spread of invading organisms.
Ecology, 77, 20272042.

King, A. A., Schaffer, W. M., Gordon, C., Treat, J., Kot, M. 1996.
Weakly dissipative predatorprey systems.
Bulletin of Mathematical Biology, 58, 835859.

Gittleman, J. L., Anderson, C. G., Kot, M. and Luh, H.K. 1996.
Comparative tests of evolutionary lability and rates using molecular phylogenies.
In, New Uses for New Phylogenies
(P. H. Harvey, A. J. Leigh Brown, J. Maynard Smith, and S. Nee, eds.),
pages 289307. Oxford University Press, Oxford.

Gittleman, J. L., Anderson, C. G., Kot, M., Luh, H.K. 1996.
Phylogenetic lability and rates of evolution: A comparison of behavioral, morphological, and life history traits.
In, Phylogenies and the Comparative Method in Animal Behavior (E. P. Martins, ed.),
pp. 166205. Oxford University Press, Oxford.

Neubert, M. G., Kot, M., and Lewis, M. A. 1995.
Dispersal and pattern formation in a discretetime predatorprey model.
Theoretical Population Biology, 48, 743.

Edwards, S. and Kot, M. 1995.
Comparative methods at the species level: geographic variation in morphology and group size in Greycrowned Babblers (Pomatostomus temporalis).
Evolution, 49, 11341146.

Funasaki, E. and Kot, M. 1993.
Invasion and chaos in a pulsed massaction chemostat.
Theoretical Population Biology, B44, 203224.

Neubert, M. and Kot, M. 1992.
Subcriticality and population collapse in some simple discretetime predatorprey models.
Mathematical Biosciences, 110, 4566.

Kot, M., Sayler, G. S., and Schultz, T. W. 1992.
Complex dynamics in a model microbial system.
Bulletin of Mathematical Biology, 54, 619648.

Kot, M. 1992.
Discretetime travelling waves: ecological examples.
Journal of Mathematical Biology, 30, 413436.

Gittleman, J. L. and Kot, M. 1990.
Adaptation: statistics and a null model for estimating phylogenetic effects.
Systematic Zoology, 39, 227241.

Stafford, S. A., Kot, M., and Roth, J. R. 1990.
Investigation of the nonlinear behavior of a partially ionized, turbulent plasma in a magnetic field.
Journal of Applied Physics, 68, 488499.

Bingham, S. and Kot, M. 1989.
Multidimensional trees, range searching, and a correlation dimension algorithm of reduced complexity.
Physics Letters A, 140, 327330.

Kot, M. 1989.
Diffusiondriven perioddoubling bifurcations.
BioSystems, 22, 279287.

Kot, M., Schaffer, W. M., Truty, G. L., Graser, D. J., and Olsen, L. F. 1988.
Changing criteria for imposing order.
Ecological Modelling, 43, 75110.

Kot, M. and Schaffer, W. M. 1986.
Discretetime growthdispersal models.
Mathematical Biosciences, 80, 109136.

Schaffer, W. M., Ellner, S., and Kot, M. 1986.
Effects of noise on some dynamical models in ecology.
Journal of Mathematical Biology, 24, 479523.

Schaffer, W. M. and Kot, M. 1986.
Differential systems in ecology and epidemiology.
In Chaos, A. V. Holden (Ed.), pp. 158178.
Princeton University Press, Princeton.

Schaffer, W. M. and Kot, M. 1986.
Chaos in ecological systems: the coals that Newcastle forgot.
Trends in Ecology and Evolution, 1, 5863.

Schaffer, W. M. and Kot, M. 1985.
Nearly onedimensional dynamics in an epidemic.
Journal of Theoretical Biology, 112, 403427.

Schaffer, W. M. and Kot, M. 1985.
Do strange attractors govern ecological systems?
Bioscience, 35, 342350.

Kot, M. and Schaffer, W. M. 1984.
The effects of seasonality on discrete models of population growth.
Theoretical Population Biology, 26, 340360.
Courses
I have taught a variety of undergraduate and graduate courses at the University of Washington.
These courses include:
Amath 351
Amath 351 is:

Introduction to Differential Equations and Applications
Please see
Amath Courses
for the course web page.
Amath 353
Amath 353 is:

Fourier Analysis and Partial Differential Equations
Please see
Amath Courses
for the course web page.
Amath 383
Amath 383 is:

Introduction to Continuous Mathematical Modeling
Please see
Amath Courses
for the course web page.
Amath 401
Amath 401 is:
Amath 402
Amath 402 is:

Methods for Ordinary Differential Equations
Please see
Amath Courses
for the course web page.
Amath 422
Amath 422 is:

Introduction to Mathematical Biology
Amath 423
Amath 423 is:

Mathematical Biology: Stochastic Models
Please see
Amath Courses
for the course web page.
Amath 501
Amath 501 is:
Amath 504
AMath 504 is:
Amath 507
Amath 507 is:
Amath 521
Amath 521 is:
Please see
Amath Courses
for the course web page.
Amath 522
Amath 522 is:

Introduction to Mathematical Biology
Amath 535
Amath 535 is:
Amath 536
Amath 536 is:
Lab
The Kot lab page is located at
Kot lab page
Links
Interesting links:
Programs
Graduate students can work with me through either one of two graduate programs:
Meetings
Here are some scientific meetings that I have enjoyed or that I will soon attend:
99th Annual ESA, Sacramento, California
97th Annual ESA, Portland, Oregon
North American Paleontological Convention, Cincinnati, Ohio
American Ornithologists' Union, Laramie, Wyoming
American Ornithologists' Union, Portland, Oregon
Spatial Ecology, Columbus, Ohio
Special Session on Mathematical Ecology, Lincoln, Nebraska
Mathematical Models for Biological Invasions, Banff, Canada
Retreat on Mathematical Ecology and Evolution, Banff, Canada
Dynamics of Structured Populations, Banff, Canada
89th Annual ESA, Portland, Oregon
XII International Congress of Entomology, Brisbane, Australia
XIX International Congress of Genetics, Melbourne, Australia
Genetics of Speciation, Vancouver, Canada

