Publication list

Frank M. Hilker

Publications in Peer-Reviewed Scientific Journals

1. Malchow, H., Petrovskii, S.V., Hilker, F.M. (2003). Models of spatiotemporal pattern formation in plankton dynamics. Nova Acta Leopoldina NF 88 (332), 325-340.

2. Malchow, H., Hilker, F.M., Petrovskii, S.V. (2004). Noise and productivity dependence of spatiotemporal pattern formation in a prey-predator system. Discrete and Continuous Dynamical Systems B 4(3), 705-711.

3. Malchow, H., Hilker, F.M., Petrovskii, S.V., Brauer, K. (2004). Oscillations and waves in a virally infected plankton system: Part I: The lysogenic stage. Ecological Complexity 1(3), 211-223.

4. Hilker, F.M., Langlais, M., Petrovskii, S.V., Malchow, H. (2004). Spatiotemporal propagation of FIV within populations of cats: Mathematical analysis and numerical study of infection waves. Mathematical Biosciences, submitted.

5. Malchow, H., Hilker, F.M., Sarkar, R.R., Brauer, K. (2004). Spatiotemporal patterns in an excitable plankton system with lysogenic viral infection. Mathematical and Computer Modelling, in press.

6. Hilker, F.M., Lewis, M.A., Seno, H., Langlais, M., Malchow, H. (2004). Pathogens can slow down or reverse invasion fronts of their hosts. Biological Invasions, accepted for publication.

7. Petrovskii, S.V., Malchow, H., Hilker, F.M., Venturino, E. (2004). Patterns of patchy spread in deterministic and stochastic models of biological invasion and biological control. Biological Invasions, accepted for publication.

8. Hilker, F.M., Malchow, H. (2004). Strange periodic attractors in a prey-predator system with infected prey. Mathematical Population Studies, submitted.

9. Hilker, F.M. (2005). Parameterizing, evaluating and comparing metapopulation models with data from individual-based simulations. Ecological Modelling, submitted.

10. Becks, L., Hilker, F.M., Malchow, H., Jürgens, K., Arndt, H. (2005). Experimental demonstration of chaos in a microbial food web. Nature 435, 1226-1229.

11. Hilker, F.M., Westerhoff, F.H. (2005). Simple models of controlling chaotic population dynamics. Journal of Theoretical Biology, submitted.

12. Malchow, H., Hilker, F.M., Langlais, M., Petrovskii, S.V. (2005). Oscillations and waves in a virally infected plankton system: Part II: Transition from lysogeny to lysis. Ecological Complexity, submitted.

    Publications in Peer-Reviewed Conference Proceedings and Anthologies

13. Hilker, F.M., Hinsch, M., Poethke, H.J. (2004). How to compare different conceptual approaches to metapopulation modelling. In Complexity and Integrated Resources Management (Pahl-Wostl, C., Schmidt, S., Rizzoli, A.E., Jakeman, A.T., eds.). Transactions of the 2nd Biennial Meeting of the International Environmental Modelling and Software Society, Volume 2, pp. 902-907. International Environmental Modelling and Software Society, Manno, Switzerland, ISBN 88-900787-1-5.
    URL: http://www.iemss.org/iemss2004/proceedings/ , Download PDF ( 229.1 kB).

14. Malchow, H., Hilker, F.M. (2005). Pattern formation in models of nonlinear plankton dynamics: a minireview. Theorie in der Ökologie, submitted.

    Other Publications

15. Hilker, Frank Mathias (2002): Parametrisierung von Metapopulationsmodellen [Parameterizing metapopulation models]. Diploma thesis, Department of Mathematics and Computer Science, University of Osnabrück, July 2002. Available online (»German). Contributed to:

16. Hilker, F.M. (2003): Parametrisierung von Metapopulationsmodellen [Parameterizing metapopulation models]. Beiträge des Instituts für Umweltsystemforschung [Contributions of the Institute for Environmental Systems Research] (Ed. M. Matthies), No. 25, ISSN-No. 1433-3805. Available online (»German).

17. Hilker, F.M. (2005). Spatiotemporal patterns in models of biological invasions and epidemic spread. PhD thesis (submitted), Department of Mathematics and Computer Science, University of Osnabrück, June 2005.

Talks

1. Comparison of different conceptual approaches to metapopulation modelling. Talk, Seminar of the Ecological Research Station, University of Würzburg (Germany), December 18, 2001.
2. Parameterizing metapopulation models. Talk, Research Seminar of Systems Science, University of Osnabrück (Germany), October 30, 2002.
3. Spatiotemporal pattern formation in population dynamics and infectious disease models. Talk, ESMTB-Summer School on Scales in Mathematical and Theoretical Ecology, Sigüenza (Spain), August 24 - September 3, 2003 (with H. Malchow).
4. Oscillations and waves in a plankton system with viral infection. Talk, 2nd Alcalá International Conference on Mathematical Ecology, Alcalá de Henares (Spain), September 5-9, 2003 (given by H. Malchow, with S.V. Petrovskii).
5. Spatiotemporal propagation of FIV within populations of cats. Mathematical analysis and numerical study of infection waves. Talk, 2nd Alcalá International Conference on Mathematical Ecology, Alcalá de Henares (Spain), September 5-9, 2003 (with M. Langlais, S.V. Petrovskii and H. Malchow).
6. Infection spread in animal populations. Talk, Research Seminar of Systems Science, University of Osnabrück (Germany), January 14, 2004.
7. Oscillations and waves in models of plankton dynamics. Talk, Theoretical Physics Colloquium, Institute of Physics, University of Potsdam (Germany), February 2, 2004 (given by H. Malchow).
8. Infection waves in cat populations - Mathematical analysis and numerical study of an epidemiological reaction-diffusion model. Talk, Interdisciplinary Colloquium Irreversible Processes and Self-Organization, Institute of Physics, Humboldt-University of Berlin (Germany), February 3, 2004 (with M. Langlais, S.V. Petrovskii and H. Malchow).
9. A stochastic reaction-diffusion model of viral infection spread in a phytoplankton population. Talk, Workshop on Mathematical Understanding of Invasion Processes in Life Sciences, CIRM, Luminy (Marseille, France), March 15-19, 2004 (given by H. Malchow).
10. Invasions stopping invasions. Lessons from a reaction-diffusion model of infection spread within cat populations. Talk, Workshop on Mathematical Understanding of Invasion Processes in Life Sciences, CIRM, Luminy (Marseille, France), March 15-19, 2004 (with M. Langlais, S.V. Petrovskii and H. Malchow).
11. Infectious disease models with nonlinear vital dynamics. Talk, Research Seminar of Systems Science, University of Osnabrück (Germany), May 12, 2004 (with M. Langlais and H. Malchow).
12. How to compare different conceptual approaches to metapopulation modelling. Talk, iEMSs 2004 International Congress: "Complexity and Integrated Resources Management". International Environmental Modelling and Software Society, Osnabrueck, Germany, June 14-17, 2004 (with M. Hinsch and H.J. Poethke).
13. Infectious diseases controlling invading populations. Talk, Computational and Mathematical Population Dynamics (Joint 7th Int'l Conf. on Mathematical Population Dynamics & 3rd Int'l Conf. on Deterministic and Stochastic Modeling of Biointeraction), Trento (Italy), June 21-25, 2004 (with M. Langlais and H. Malchow).
14. Deterministic and stochastic dynamics of viral infection in a plankton system. Talk, Computational and Mathematical Population Dynamics (Joint 7th Int'l Conf. on Mathematical Population Dynamics & 3rd Int'l Conf. on Deterministic and Stochastic Modeling of Biointeraction), Trento (Italy), June 21-25, 2004 (given by H. Malchow).
15. Diffusive epidemiological models with an Allee effect. Talk, ME Seminar, Math. Biol. Lab., Dept. of Biology, Kyushu University, Fukuoka (Japan), August 20, 2004.
16. Invasions, pathogens and the Allee effect. Talk, GI Seminar, Dept. of Information and Computer Science, Faculty of Science, Nara Women's University, Nara (Japan), September 2, 2004.
17. Invasions, pathogens and the Allee effect. Talk, Seminar, Center for Ecological Research, Kyoto University, Kyoto (Japan), September 9, 2004.
18. Diffusive epidemiological models with an Allee effect. Talk, Seminar, Dept. of Mathematical and Life Sciences, Graduate School of Science, Hiroshima University, Higashi-Hiroshima (Japan), September 16, 2004.
19. Complex spatiotemporal dynamics of simple epidemic models. Talk, 14th Annual Meeting of the Japanese Society for Mathematical Biology, Higashi-Hiroshima (Japan), Sep 22-25, 2004 (with M. Langlais and H. Malchow).
20. Modelle der Übertragung und räumlichen Ausbreitung des Immunschwächevirus FIV in Katzenpopulationen. Talk, Meeting Wissenschaftliches Modellieren - Ansprüche und Kriterien im Zuge der Theoriebildung, Bad Honnef (Germany), November 12-13, 2004.
21. How pathogens can reverse invasion fronts of their hosts. Talk, Research Seminar of Systems Science, University of Osnabrück (Germany), January 12, 2005.
22. Modellierung biologischer Invasionen. Talk, Seminar, Ecological Research Station, Julius-Maximilians-University Würzburg (Germany), February 22, 2005.
23. Ausbreitungsgeschwindigkeiten biologischer Invasionen. Talk, Annual Meeting of the Specialist Group "Ecological Theory" within the Ecological Society of Germany, Austria and Switzerland, Seddiner See (Potsdam, Germany), March 3-5, 2005 (with H. Malchow).
24. Strukturbildung in aquatischen Populationen. Talk, Annual Meeting of the Specialist Group "Ecological Theory" within the Ecological Society of Germany, Austria and Switzerland, Seddiner See (Potsdam, Germany), March 3-5, 2005 (given by H. Malchow).
25. Spatiotemporal spread in models of biological invasions and infectious diseases. Talk, Department of Applied Mathematics and Computer Sciences, University of Girona, Girona (Spain), April 4, 2005.
26. Sustained oscillations in an SI model with Allee effect. Talk, Instituto Gulbenkian de Ciência, Oeiras (Lisbon, Portugal), April 29, 2005.
27. Simple models of controlling chaotic population dynamics. Talk, Research Seminar of Systems Science, University of Osnabrück (Germany), May 11, 2005 (with F.H. Westerhoff).
28. Reaction, diffusion and noise in models of plankton dynamics. Talk, 2nd Shanghai International Symposium on Nonlinear Science and Applications (Shanghai NSA'05), Shanghai (China), June 3-7, 2005 (given by H. Malchow).
29. On the role of epidemics in biological invasions. Talk, Institute for Advanced Study / Park City Mathematics Institute Summer Session, Research Program, Park City UT (USA), June 26 - July 16, 2005 (with H. Malchow).
30. Reaction, diffusion and noise in models of plankton dynamics. Talk, International Workshop on Differential Equations in Mathematical Biology, Le Havre (France), July 11-13, 2005 (given by H. Malchow).
31. Waves of extinction: pathogen-induced reversal of biological invasions.. Talk, 5th European Conference on Theoretical and Mathematical Biology, Dresden (Germany), July 18-22, 2005 (with M.A. Lewis, H. Seno, M. Langlais, H. Malchow).
32. Modelling viral infections in a plankton system. Talk, 15th National Congress of the Italian Society of Ecology, Torino (Italy), September 12-14, 2005 (given by H. Malchow).

    Posters

33. Infection waves in cat populations. Poster, Gordon Research Conference on Theoretical Biology and Biomathematics, Tilton, New Hampshire (USA), June 6-11, 2004 (with M. Langlais and H. Malchow).