Integrodifference Equations in Ecology: 30 years and counting (16w5121)


Frithjof Lutscher (University of Ottawa)

(University of Glasgow)

(University of Washington)

Mark Lewis (University of Victoria)


The Banff International Research Station will host the "Integrodifference Equations in Ecology: 30 years and counting" workshop from September 18th to September 23rd, 2016.

Press Release

Since their introduction into spatial ecology by Kot and Schaffer in 1986, integrodifference equations (IDEs) have been used extensively by theoreticians,
modelers and empiricists to describe and understand spatial ecological processes ranging from species extinction and invasions to the formation of spatial
patterns. At the same time, these infinite-dimensional dynamical systems with non-local operators have generated challenging mathematical problems and
inspired novel theory. This workshop will bring together mathematical analysts, modelers and empirical ecologists to share experiences and recent
discoveries, and to identify the most promising and most challenging aspects of future research around IDEs. Particular topics will include the qualitative
behavior of non-local, infinite dimensional dynamical systems; existence, uniqueness and stability of traveling waves; spreading speed and traveling waves
for multi-species systems; stochastic dynamics and chaotic behavior; spatial heterogeneity and pattern formation; eigenvalue problems for non-local

The Banff International Research Station for Mathematical Innovation and Discovery (BIRS) is a collaborative Canada-US-Mexico venture that provides an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disciplines and with industry. The research station is located at The Banff Centre in Alberta and is supported by Canada's Natural Science and Engineering Research Council (NSERC), the U.S. National Science Foundation (NSF), Alberta's Advanced Education and Technology, and Mexico's Consejo Nacional de Ciencia y Tecnología (CONACYT)..