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Fluctuation Effects and Pattern Formation in Population Dynamics

Event description

We would like to cordially invite you to a series of lectures taking place in September at the Higgs Centre for Theoretical Physics by guest lecturer Uwe C Tauber - Department of Physics and Center for Soft Matter and Biological Physics, Virginia Tech.

Spatially extended population dynamics models that incorporate demographic noise serve as case studies for the crucial role of fluctuations and correlations in biological systems. Numerical and analytic tools from non-equilibrium statistical physics capture the stochastic kinetics of these complex interacting many-particle systems beyond rate equation approximations.

Lectures

Stochastic population dynamics

 
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 Higgs Centre Seminar Room, JCMB

Lecturer(s):
  • Uwe Tauber

Basic models, mean-field rate equations, lattice simulations; Lotka-Volterra predator–prey competition: noise-induced activity fronts and population oscillations; limited prey carrying capacity: predator extinction threshold; cyclic rock-paper-scissors model: oscillations and clustering; May-Leonard variant: spontaneous formation of spiral patterns.

Field theory representation

 
 —
 Higgs Centre Seminar Room, JCMB

Lecturer(s):
  • Uwe Tauber

Mapping of stochastic master equation to Doi-Peliti Hamiltonian; connection with generating function, Hamiltonian structure; coherent-state path integral representation and Langevin dynamics.

Examples and applications

 
 —
 Higgs Centre Seminar Room, JCMB

Lecturer(s):
  • Uwe Tauber

Stochastic lattice predator-prey model: fluctuation-induced renormalization of oscillation parameters; extinction thresholds as absorbing-state phase transition and directed percolation universality class; stochastic spatial May-Leonard model and complex Ginzburg-Landau equation.

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Fluctuation Effects and Pattern Formation in Population Dynamics

Lecturer(s)

  • Uwe Tauber

Resources