Mathematical Modelling

Publications in 2010

Ryabov, A.B., Rudolf, L., Blasius, B. (2010). Vertical distribution and composition of phytoplankton under the influence of an upper mixed layer. J. Theor. Biol. 263: 120-133

Grunwald, M., Dellwig, O., Kohlmeier, C., Badewien, T.H., Beck, M., Kotzur, S., Kowalski, N., Liebezeit, G., Brumsack, H.-J. (2010) Nutrient dynamics in a back barrier tidal basin of the Southern North Sea: Time-series, model simulations, and budget estimates. Journal of Sea Research (accepted)

Massie, T.M., Blasius, B., Weithoff, G., Gaedke, U., Fussmann, G.F. (2010) Cycles, phase synchronization and entrainment in single-species phytoplankton populations. PNAS doi:10.1073/pnas.0908725107

Kaluza, P., Kölzsch, A., Gastner, M.T., Blasius, B. (2010) The complex network of global cargo ship movements. J. R. Soc. Interface doi:10.1098/rsif.2009.0495 Download & Reactions

Publications in 2009

Seebens, H., Einsle, U. and Straile, D. (2009) Copepod life cycle adaptations and success in response to phytoplankton spring bloom phenology. Global Change Biology 15, 1394–1404

Blasius, B. and Tönjes, R. (2009). Zipf law in the popularity distribution of chess openings. Phys. Rev. Lett. 103, 218701 Download & Reactions

Tönjes, R. and Blasius, B. (2009). Perturbation analysis of complete synchronization in networks of phase oscillators. Phys. Rev. E 80, 026202. Online available

Blasius B, and Gross, T. (2009) Dynamic and topological interplay in adaptive networks. In Schuster, H.G. (edt) Reviews of Nonlinear Dynamics and Complexity, Wiley VCH, Weinheim, Vol. 2, 63-106.

Blasius B. (2009) Adaptive networks. In R. Leidl and A.K. Hartmann (eds), Modern Computational Science 09, BIS-Verlag, Oldenburg, 325-346.    Download

Ebenhöh, W., Baurmann, M., Harmand, P. (2009). Period 7 in a line of trees. Ecological Complexity 6 172-182.

Gastner, M. T., Oborny, B., Zimmermann, D.K. and Pruessner, G. (2009). Transition from Connected to Fragmented Vegetation across an Environmental Gradient: Scaling Laws in Ecotone Geometry. American Naturalist 174, E23-E39 Online available

Kohlmeier, C. and Ebenhöh, W. (2009) Modelling the biogeochemistry of a tidal flat ecosystem with EcoTiM. Ocean Dynamics 59(2) 393-415. Online available

Tönjes, R. and Blasius, B. (2009) Perturbation analysis of the Kuramoto phase-diffusion equation subject to quenched frequency disorder. Phys. Rev. E 79, 016112. Online available

Grunwald, G. , Dellwig, O., Beck, M., Dippner, J.W., Freund, J.A., Kohlmeier, C., Schnetger, B. and Brumsack, HJ. (2009) Methane in the southern North Sea: Sources, spatial distribution and budgets. Estuarine, Coastal and Shelf Science 81 445-456.

Publications in 2008

Ryabov A.B. and Blasius B. (2008) Population growth and persistence in a heterogeneous environment: the role of diffusion and advection. Math. Model. Nat. Phenom. 3 42-86.  arXiv: 0809.4599     Download

Youn, Hyejin, Gastner, M.T. and Jeong, Hawoong (2008) Price of Anarchy in Transportation Networks: Efficiency and Optimality Control Physical Review Letters 101 128701

Kaluza, P., Vingron, M. and Mikhailov, A.S. (2008) Self-correcting networks: Function, robustness, and motif distributions in biological signal processing Chaos 18 026113. Download

Kölzsch A. and Blasius B. (2008) Theoretical approaches to bird migration: the white stork as a case study. Eur. Phys. J. Special Topics 157 191-208.

Dommar C. J., Ryabov A. and Blasius B. (2008) Coevolutionary motion and swarming in a niche space model of ecological species interactions. Eur. Phys. J. Special Topics 157 223–238.

Prasad A., Dana S. K., Karnatak R., Kurths J., Blasius B. and Ramaswamy R. (2008) Universal occurrence of the phase-flip bifurcation in time-delay coupled systems. Chaos 18, 023111.

Gross, T. and Blasius,B. (2008) Adaptive coevolutionary networks: a review. J.R.Soc.Interface 5 259-251. (arXiv:0709.1858v1)

Publications in 2007

Complex Population Dynamics. Nonlinear Modeling in Ecology, Epidemiology and Genetics edited by Bernd Blasius, Jürgen Kurths and Lewi Stone World Scientific Lecture Notes in Complex Systems  Vol. 7.

Steuer, R., Nesi, A.N., Fernie, A.R., Gross, Blasius, B. and Selbig, J. (2007) From structure to dynamics of metabolic pathways: application to the plant mitochondrial TCA cycle. Bioinformatics 23(11), 1378-1385.

Kheowan, O.-U.,Mihaliuk, E.,Blasius, B. ,Sendina-Nadal,I. and Showalter, K. (2007) Wave mediated synchronization of nonuniform oscillatory media. Phys. Rev. Lett. 98, 074101.

Blasius, B. and Tönjes,R. (2007) Predator-prey oscillations, synchronization and pattern formation in ecological systems. In L. Schimansky-Geier, B. Fiedler, J. Kurths and E. Schöll (eds.), Analysis and Control of Complex Nonlinear Processes in Physics, Chemistry and Biology World Scientific, Singapoore, 397-427.

Gross, T. , Baurmann, M., Feudel, U. and Blasius, B. (2007) Generalized models-a new tool for the investigation of ecological systems. In: B. Blasius, J. Kurths and L. Stone (Eds.): Complex population dynamics: nonlinear modeling in ecology, epidemiology and genetics. World Scientific, Singapore.

Kölzsch, A., Sæther,S.A., Gustaffson, H., Fiske, P., Höglund, J. and Kålås,J. A. (2007) Population fluctuations and regulation in great snipe: a time-series analysis. Journal of Animal Ecology 76  740-749.

Kohlmeier, C. and Ebenhöh, W. (2007) Mass conserving modelling of aquatic ecosystems with a variable tide level - why extrapolation from point tracers is inadmissible and how to solve the problem with a semi Lagrangian approach Ecological Modelling 207(2-4)  293-303.

Kohlmeier, C., Ebenhöh, W. (2007) Modelling the ecosystem dynamics and nutrient cycling of the Spiekeroog back barrier system with a coupled Euler-Lagrange model on the base of ERSEM. Ecological Modelling 202(3-4) 297-310.

Earlier Publications