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Home page > Seminars > Séminaires théorie > Theory Club Monday March 22nd at 14h30 (Zoom). Uwe Taüber: "Stochastic spatial predator-prey models".

Theory Club Monday March 22nd at 14h30 (Zoom). Uwe Taüber: "Stochastic spatial predator-prey models"

Unless otherwise stated, seminars and defences take place at 11:30 in room 454A of Condorcet building.


Stochastic spatial predator-prey models

Abstract:

Dynamical models of interacting populations have recently become of fundamental interest for the spontaneous formation of patterns and other intriguing features in non-equilibrium statistical physics. In turn, theoretical physics provides a toolbox for quantitative analysis for many paradigmatic models employed in biology and ecology. Stochastic, spatially extended models for predator-prey interaction display striking spatio-temporal structures. These spreading activity fronts induce persistent correlations between predators and prey that can be studied through field-theoretic methods. Introducing local restrictions on the prey population induces predator extinction. The critical dynamics at this continuous absorbing state transition are governed by the scaling exponents of directed percolation. I will also address the influence of spatially varying reaction rates: Fluctuations in rare favorable regions cause a remarkable increase in both predator and prey populations. Intriguing novel features are found when variable interaction rates are affixed to individual particles rather than lattice sites. The ensuing stochastic dynamics combined with inheritance rules causes rapid time evolution for the rate distributions, with however overall neutral effect on stationary population densities. I will finally discuss noise-induced spontaneous pattern formation in systems with three cyclically competing species akin to spatial rock-paper-scissors games.

Monday March 22nd at 14h30 (Zoom)


Contact : Équipe séminaires / Seminar team - Published on / Publié le 5 March


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