Dr Markus Kirkilionis
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Research Interests: Mathematical biology, dynamic network models, complex systems, numerical analysis, pattern formation, physiologically structured Population models, (monotone) dynamical systems Teaching: Term 1: MA390 Topics in Mathematical Biology Most relevant recent publications: Kirkilionis, M. et al. Numerical continuation of equilibria of physiologically structured population models. I. Theory. MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES. 11, (2001), 1101-1127 Diekmann, O. Gyllenberg, M. Huang, H. Kirkilionis, M. Metz, J.A.J. Thieme, H.R. On the formulation and analysis of general deterministic structured population models. II. Nonlinear theory. JOURNAL OF MATHEMATICAL BIOLOGY, 43, (2001), 157-189 Kirkilionis, M. Walcher, S. On comparison systems for ordinary differential equations. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. 229, (2004), 157-173 Fischer, T. Kirkilionis, M. Lugashenko, D. Wittum, G. Fast numerical integration for simulation of structured populations. MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES. ACCEPTED (2006) Research grants: EU, Co-ordination action - GIACS (01/01/2006 - 01/01/2009) Royal Society, Transport and Reaction Simulations (01.04.2005 01.04.2007 BBSRC, Determination of the spatial and temporal (1.1.2005 - 31.12.2007) EC, Unifying Networks for Science and Society (1.7.2005 - 30.6.2008) For more information and further publications see Markus Kirkilionis's homepage or his Expertise Profile |
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