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Research Topics until 31 March 2021

Theory and computer simulation of self-organisation in nonlinear biological, ecological, chemical and physical systems far from equilibrium, in particular

  • stochastic and deterministic theory of complex spatio-temporal pattern formation in systems with interactions, diffusion and advection,
  • Turing structures in systems with density- and space-dependent diffusion coefficients and reaction rates,
  • rapid diffusion and advection processes, perturbation-theoretical methods,
  • applications to biochemical reaction systems, differentiation of cell communities and biomorphogenesis, nucleation phenomena, enzyme kinetics, biosensorics as well as population dynamics,
  • analysis of coupled models of hydrodynamics, transport and nonlinear biological and biochemical interactions with applications to marine ecosystem and water-quality modelling,
  • pattern formation in hybrid population-dynamical models, fractal patterns of motion of rule-based model components,
  • MaMBiESMathematical Modelling of Bioinvasions and Epidemic Spread,
  • MaMPFiMathematical Modelling of Plankton-Fish Dynamics,
  • noise-induced spatiotemporal pattern formation and dynamics.

Cooperation in Funded Research Projects

Cooperação Internacional Brasil-Alemanha em Ecologia Teórica
Support: Fundação de Amparo à Pesquisa do Estado do Rio Grande do Sul (FAPERGS, RS Brasil)
Participation: 01.02.2020-31.03.2021

DynaTrait - Flexibility matters: Interplay between trait diversity and ecological dynamics using aquatic communities as model systems (DFG Priority Program 1704)
Support: Deutsche Forschungsgemeinschaft (DFG)
Participation: 01.01.2014-15.01.2017

Inserção Internacional da Biomatemática do PPGMat/UFSM
Support: Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq, Brasil)
Duration: 13.01.2014-02.03.2015

Mathematical Modelling in Population Dynamics
Support: Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES, Brasil), Deutscher Akademischer Austauschdienst (DAAD)
Duration: 03.08.-30.11.2012

Mathematical modeling of transmission, spatial spread and control of infectious diseases
Support: Deutscher Akademischer Austauschdienst (DAAD), VIGONI Programme
Duration: 01.01.2006-31.12.2007, 01.01.2009-31.12.2010

Mathematical modeling and computer simulation of biological invasions with applications to the spatial spread of infectious diseases and genetically modified organisms
Support: Deutsche Forschungsgemeinschaft (DFG)
Duration: 01.03.2005-28.02.2009

Study of pattern formation in plankton populations under the effects of toxin producing phytoplankton, infection and environmental factors
Support: Alexander von Humboldt Foundation (AvH)
Duration: 01.05.2004-30.04.2005

Impact of Biotic and Abiotic Factors on the Dynamics of Spatially and Physiologically Structured Populations in Large Aquatic Ecosystems
Support: Deutsche Forschungsgemeinschaft (DFG)
Duration: 01.11.2001-31.03.2004

Patterns in Plankton Communities: Mobile Fish Schools as a Factor of Spatial Structure Formation
Support: International Association for the Promotion of Cooperation with Scientists from the New Independent States of the former Soviet Union (INTAS)
Duration: 01.02.1998 - 31.01.2000

Marine Ecosystems Under Increasing Anthropogenic Activity: Stability and Pattern Formation
Support: NATO Science Programme
Duration: 01.01.1998-31.12.1999

Spatio-Temporal Pattern Formation in Marine Plankton Populations
Support: Deutsche Forschungsgemeinschaft (DFG)
Duration: 01.01.1997-31.12.2001