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Theoretical Systems Science

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

Horst Malchow
Professor of Theoretical Systems Science

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

Bldg. 66 Office 107
Tel.: +49 541 969 2499
Fax: +49 541 969 2599


Horst Malchow

Research Profile

The main research interests are in the theory and computer simulation of self-organization in nonlinear biological and ecological systems far from equilibrium, in particular

  • stochastic and deterministic theory of complex spatio-temporal pattern formation in systems with interactions, diffusion and advection,
  • theory of density- and space-dependent diffusion coefficients and reaction rates,
  • rapid diffusion and advection processes, perturbation-theoretical methods,
  • sensitivity analysis of dynamical systems,
  • 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,
  • theory of bioinvasions with applications to the spread of infectious diseases and invasive plants,
  • noise-induced spatiotemporal pattern formation and dynamics.

Research Projects


MaMPFi: Mathematical Modelling of Plankton-Fish Dynamics

MaMBIES: Mathematical Modelling of Bioinvasions and Epidemic Spread


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

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