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Article

Diekmann, O., Gyllenberg, M. & Metz, J. (2019). On models of physiologically structured populations and their reduction to ordinary differential equations. Journal of Mathematical Biology 10.1007/s00285-019-01431-7.

Diekmann, O., Gyllenberg, M. & Metz, J.A.J. (2018). Finite Dimensional State Representation of Linear and Nonlinear Delay Systems. Journal of Dynamics and Differential Equations 30 (4), 1439-1467. 10.1007/s10884-017-9611-5.

Diekmann, O., Gyllenberg, M., Metz, J.A.J., Nakaoka, S. & de Roos, A.M. (2017). Erratum to: Daphnia revisited: local stability and bifurcation theory for physiologically structured population models explained by way of an example. Journal of Mathematical Biology 75 (1), 259-261. 10.1007/s00285-017-1148-z.

Barabas, G., Pigolotti, S., Gyllenberg, M., Dieckmann, U. ORCID: https://orcid.org/0000-0001-7089-0393 & Meszena, G. (2012). Continuous coexistence or discrete species? A new review of an old question. Evolutionary Ecology Research 14 (5), 523-554.

Diekmann, O., Gyllenberg, M., Metz, J.A.J., Nakaoka, S. & de Roos, A.M. (2010). Daphnia revisited: Local stability and bifurcation theory for physiologically structured population models explained by way of an example. Journal of Mathematical Biology 61 (2), 277-318. 10.1007/s00285-009-0299-y.

Meszena, G., Gyllenberg, M., Jacobs, F.J.A. & Metz, J.A.J. (2005). Link between population dynamics and dynamics of Darwinian evolution. Physical Review Letters 95 (7)

Gyllenberg, M., Jacobs, F.J.A. & Metz, J.A.J. (2003). On the concept of attractor in community-dynamical processes II: The case of structured populations. Journal of Mathematical Biology 47 (3), 235-248. 10.1007/s00285-003-0213-y.

Diekmann, O., Gyllenberg, M. & Metz, J.A.J. (2003). Steady-state analysis of structured population models. Theoretical Population Biology 63 (4), 309-338. 10.1016/S0040-5809(02)00058-8.

Parvinen, K. ORCID: https://orcid.org/0000-0001-9125-6041, Dieckmann, U. ORCID: https://orcid.org/0000-0001-7089-0393, Gyllenberg, M. & Metz, J.A.J. (2003). Evolution of dispersal in metapopulations with local density dependence and demographic stochasticity. Journal of Evolutionary Biology 16 (1), 143-153. 10.1046/j.1420-9101.2003.00478.x.

Gyllenberg, M., Parvinen, K. ORCID: https://orcid.org/0000-0001-9125-6041 & Dieckmann, U. ORCID: https://orcid.org/0000-0001-7089-0393 (2002). Evolutionary suicide and evolution of dispersal in structured metapopulations. Journal of Mathematical Biology 45 (2), 79-105. 10.1007/s002850200151.

Gyllenberg, M. & Metz, J.A.J. (2001). On fitness in structured metapopulations. Journal of Mathematical Biology 43 (6), 545-560. 10.1007/s002850100113.

Diekmann, O., Gyllenberg, M., Huang, H., Kirkilionis, M., Metz, J.A.J. & Thieme, H.R. (2001). On the formulation and analysis of general deterministic structured population models. II. Nonlinear theory. Journal of Mathematical Biology 43 (2), 157-189. 10.1007/s002850170002.

Metz, J.A.J. & Gyllenberg, M. (2001). How should we define fitness in structured metapopulation models? Including an application to the calculation of evolutionary stable dispersal strategies. Proceedings of the Royal Society B: Biological Sciences, 499-508. 10.1098/rspb.2000.1373.

Diekmann, O., Gyllenberg, M., Metz, J.A.J. & Thieme, H.R. (1998). On the formulation and analysis of general deterministic structured population models. I. Linear theory. Journal of Mathematical Biology 36 (4), 349-388. 10.1007/s002850050104.

Book Section

Gyllenberg, M., Metz, J.A.J. & Service, R. (2011). When do optimisation arguments make evolutionary sense? In: The Mathematics of Darwin's Legacy. Eds. Chalub, FACC & Rodrigues, JF, Basel: Springer. ISBN 978-3-0348-0121-8 10.1007/978-3-0348-0122-5_12.

Diekmann, O., Gyllenberg, M. & Metz, J.A.J. (2007). Physiologically structured population models: Towards a general mathematical theory. In: Mathematics for Ecology and Environmental Sciences. Eds. Takeuchi, Y., Iwasa, Y. & Sato, K., Berlin Heidelberg: Springer-Verlag. 10.1007/978-3-540-34428-5_2.

Gyllenberg, M., Hanski, I. & Metz, J.A.J. (2004). Spatial dimensions of population viability. In: Evolutionary Conservation Biology. Eds. Ferriere, R., Dieckmann, U. ORCID: https://orcid.org/0000-0001-7089-0393 & Couvet, D., Cambridge: Cambridge University Press. ISBN 0-521-82700-0 10.1017/CBO9780511542022.006.

Monograph

Barabas, G., Pigolotti, S., Gyllenberg, M., Dieckmann, U. ORCID: https://orcid.org/0000-0001-7089-0393 & Meszena, G. (2012). Continuous coexistence or discrete species? A new review of an old question. IIASA Interim Report. IIASA, Laxenburg, Austria: IR-12-020

Gyllenberg, M., Metz, J.A.J. & Service, R. (2011). When Do Optimisation Arguments Make Evolutionary Sense? IIASA Interim Report. IIASA, Laxenburg, Austria: IR-11-011

Diekmann, O., Gyllenberg, M., Metz, J.A.J., Nakaoka, S. & de Roos, A.M. (2010). Daphnia revisited: Local stability and bifurcation theory for physiologically structured population models explained by way of an example. IIASA Interim Report. IIASA, Laxenburg, Austria: IR-10-034

Diekmann, O., Gyllenberg, M. & Metz, J.A.J. (2007). Physiologically Structured Population Models: Towards a General Mathematical Theory. IIASA Interim Report. IIASA, Laxenburg, Austria: IR-07-046

Meszena, G., Gyllenberg, M., Pasztor, L. & Metz, J.A.J. (2005). Competitive Exclusion and Limiting Similarity: A Unified Theory. IIASA Interim Report. IIASA, Laxenburg, Austria: IR-05-040

Meszena, G., Gyllenberg, M., Jacobs, F.J.A. & Metz, J.A.J. (2005). Dynamics of Similar Populations: The Link Between Population Dynamics and Evolution. IIASA Interim Report. IIASA, Laxenburg, Austria: IR-05-026

Gyllenberg, M., Hanski, I. & Metz, J.A.J. (2004). Spatial Dimensions of Population Viability. IIASA Interim Report. IIASA, Laxenburg, Austria: IR-04-065

Diekmann, O., Gyllenberg, M., Metz, J.A.J. & Thieme, H.R. (2002). On the Formulation and Analysis of General Deterministic Structured Population Models. I. Linear Theory. IIASA Interim Report. IIASA, Laxenburg, Austria: IR-02-047

Diekmann, O., Gyllenberg, M., Huang, H., Kirkilionis, M., Metz, J.A.J. & Thieme, H.R. (2002). On the Formulation and Analysis of General Deterministic Structured Population Models. II. Nonlinear Theory. IIASA Interim Report. IIASA, Laxenburg, Austria: IR-02-048

Gyllenberg, M., Parvinen, K. ORCID: https://orcid.org/0000-0001-9125-6041 & Dieckmann, U. ORCID: https://orcid.org/0000-0001-7089-0393 (2000). Evolutionary Suicide and Evolution of Dispersal in Structured Metapopulations. IIASA Interim Report. IIASA, Laxenburg, Austria: IR-00-056

Parvinen, K. ORCID: https://orcid.org/0000-0001-9125-6041, Dieckmann, U. ORCID: https://orcid.org/0000-0001-7089-0393, Gyllenberg, M. & Metz, J.A.J. (2000). Evolution of Dispersal in Metapopulations with Local Density Dependence and Demographic Stochasticity. IIASA Interim Report. IIASA, Laxenburg, Austria: IR-00-035

Metz, J.A.J. & Gyllenberg, M. (1999). How Should We Define Fitness in Structured Metapopulation Models? Including an Application to the Calculation of Evolutionarily Stable Dispersal Strategies. IIASA Interim Report. IIASA, Laxenburg, Austria: IR-99-019

Gyllenberg, M. & Metz, J.A.J. (1999). On Fitness in Structured Metapopulations. IIASA Interim Report. IIASA, Laxenburg, Austria: IR-99-037

Other

Gyllenberg, M. & Metz, J.A.J. (1999). On Fitness in Structured Metapopulations. Research Report A38, University of Turku, Institute of Applied Mathematics (1999)

Metz, J.A.J. & Gyllenberg, M. (1998). How Should we define Fitness in Structured Metapopulations? Including an Application to the Calculation of Evolutionarily Stable Dispersal Strategies. Research Report A39, University of Turku, Institute of Applied Mathematics (preprints) (1998)

Diekmann, O., Gyllenberg, M., Metz, J.A.J. & Thieme, H.R. (1996). On the Formulation and Analysis of General Deterministic Structured Population Models. CWI , Amsterdam, Netherlands. AM-R9607.