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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.

Diekmann, O. & Metz, J.A.J. (2010). How to lift a model for individual behaviour to the population level? Philosophical Transactions of the Royal Society B: Biological Sciences 365 (1557), 3523-3530. 10.1098/rstb.2010.0100.

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.

Metz, J.A.J., Mylius, S.D. & Diekmann, O. (2008). Even in the odd cases when evolution optimizes, unrelated population dynamical details may shine through in the ESS. Evolutionary Ecology Research 10 (5), 655-666.

Metz, J.A.J., Mylius, S.D. & Diekmann, O. (2008). When does evolution optimize? Evolutionary Ecology Research 10 (5), 629-654.

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.

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.

Diekmann, O., Jong, M.C.M. de & Metz, J.A.J. (1998). A deterministic epidemic model taking account of repeated contacts between the same individuals. Journal of Applied Probability 35 (2), 448-462.

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.

Diekmann, O., Koeijer, A.A. de & Metz, J.A.J. (1996). On the final size of epidemics within herds. Canadian Applied Mathematics Quarterly 4 (1), 21-30.

Book Section

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.

Diekmann, O., Metz, J.A.J. & Heesterbeek, J.A.P. (1995). The legacy of Kermack and McKendrick. In: Epidemic Models: Their Structure and Relation to Data. Eds. Mollison, D., Cambridge: Cambridge University Press.

Monograph

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. & Metz, J.A.J. (2010). How to lift a model for individual behaviour to the population level? IIASA Interim Report. IIASA, Laxenburg, Austria: IR-10-033

Metz, J.A.J., Mylius, S.D. & Diekmann, O. (2008). Even in the Odd Cases When Evolution Optimises, Unrelated Population Dynamical Details May Shine Through in the ESS. IIASA Interim Report. IIASA, Laxenburg, Austria: IR-08-014

Metz, J.A.J., Mylius, S.D. & Diekmann, O. (2008). When Does Evolution Optimise? IIASA Interim Report. IIASA, Laxenburg, Austria: IR-08-013

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

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

Metz, J.A.J., Mylius, S.D. & Diekmann, O. (1996). When Does Evolution Optimize? On the Relation Between Types of Density Dependence and Evolutionarily Stable Life History Parameters. IIASA Working Paper. IIASA, Laxenburg, Austria: WP-96-004

Other

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.