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SUMMARY:Algebraic relations between solutions of Lotka-Volterra systems: a
  complete classification.
DTSTART:20260109T093000Z
DTEND:20260109T113000Z
DTSTAMP:20260614T105500Z
UID:indico-event-15304@indico.math.cnrs.fr
DESCRIPTION:Speakers: Léo Jimenez (Ohio State University)\n\nThe classica
 l Lotka-Volterra (LV) systems are used in population dynamics to provide a
  very simplified model of predator-prey interactions. It is natural to ask
  if there are any relations between solutions of these systems for differe
 nt initial values and/or different parameters. As one of the simplest syst
 ems of non-linear algebraic differential equations\, the LV systems are a 
 good test case for recently developed model-theoretic methods to answer th
 ese questions. In this talk\, I will provide a complete classification of 
 algebraic relations between solutions of LV systems\, and explain how mode
 l theory plays a key role in this endeavor. This is joint work with Yutong
  Duan and Christine Eagles\, with some important input from work of Duan a
 nd Ronnie Nagloo.\n\nhttps://indico.math.cnrs.fr/event/15304/
LOCATION:Bat 1R2 (Salle 207)
URL:https://indico.math.cnrs.fr/event/15304/
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