Workshop - Discrete, explicit simulations versus continuous, aggregated models  13 - 17 October 2014


Roger Arditi, Université de Fribourg

Fabien Campillo, INRIA

Claude Lobry, INRIA Sophia-Antipolis

Yuri Tyutyunov, Russian Academy of Sciences

Description :

Continuous models (i.e., differential and partial differential equations) are appropriate to analyze the qualitative behavior of population dynamics but are only suitable to represent very large populations. Otherwise, they can lead to absurd quantities like an "atto-fox". For small populations, discontinuous representations (branching processes, IBMs) must be used but are less tractable. In particular, due to excessive computing time, they are not suitable for very large populations. Unfortunately, interactions between populations having a very large number of individuals and populations having a little number of individuals are common and their modeling is a source of new and interesting problems. On the other hand, complex models, often formulated as simulation models (e.g., IBMs) in order to mimic closely the biological interactions only acquire general, theoretical interest if simple rules can be inferred from them. The two questions of reliable simulations and emergence of simple rules will be explored on such ecological questions as : – emergence of predator interference in predator-prey systems, – self-organization of population spatial patterns, – use of process algebra in deriving population-level models, – modeling collective behavior of animals, – invasion success factors.

Name University Dates of visit
Roger Arditi Université de Fribourg 13/10/2014 - 17/10/2014
Fabien Campillo INRIA 13/10/2014 - 17/10/2014
Claude Lobry INRIA Sophia-Antipolis 13/10/2014 - 17/10/2014
Yuri Tyutyunov Russian Academy of Sciences 13/10/2014 - 17/10/2014
Total Guests : 4
Name University Dates of visit
Total Guests : 0
Conference in Honor of the 70th Birthday of Tudor Ratiu, 20 to 24 July 2020.
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