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Theoretical Systems Science

Since January 2020 the research groups Applied Systems Science and Theoretical Systems Science at the Institute of Environmental Systems Research have been combined in the Systems Science group at the Institute of Mathematics.

Until 31 March 2021:

Systems Science Group
Institute of Mathematics
School of Mathematics / Computer Science
Osnabrück University
Barbarastr. 12
D-49076 Osnabrück, Germany


Horst Malchow (retired March 31, 2021)

Research Profile

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