Parvinen, Kalle; Metz, Johan A. J.; Dieckmann, Ulf Environmental dimensionality determines species coexistence. (English) Zbl 1467.92160 J. Theor. Biol. 526, Article ID 110280, 14 p. (2021). MSC: 92D25 92D40 PDFBibTeX XMLCite \textit{K. Parvinen} et al., J. Theor. Biol. 526, Article ID 110280, 14 p. (2021; Zbl 1467.92160) Full Text: DOI
Diekmann, Odo; Gyllenberg, Mats; Metz, Johan A. J. Correction to: “Finite dimensional state representation of physiologically structured populations”. (English) Zbl 1444.92084 J. Math. Biol. 81, No. 3, 905-906 (2020). MSC: 92D25 92D40 PDFBibTeX XMLCite \textit{O. Diekmann} et al., J. Math. Biol. 81, No. 3, 905--906 (2020; Zbl 1444.92084) Full Text: DOI
Ito, Hiroshi C.; Dieckmann, Ulf; Metz, Johan A. J. Lotka-Volterra approximations for evolutionary trait-substitution processes. (English) Zbl 1443.92130 J. Math. Biol. 80, No. 7, 2141-2226 (2020). MSC: 92D15 92D25 35Q92 PDFBibTeX XMLCite \textit{H. C. Ito} et al., J. Math. Biol. 80, No. 7, 2141--2226 (2020; Zbl 1443.92130) Full Text: DOI
Diekmann, Odo; Gyllenberg, Mats; Metz, Johan A. J. Finite dimensional state representation of physiologically structured populations. (English) Zbl 1433.92034 J. Math. Biol. 80, No. 1-2, 205-273 (2020); correction ibid. 81, No. 3, 905-906 (2020). Reviewer: E. Ahmed (Mansoura) MSC: 92D25 92D40 PDFBibTeX XMLCite \textit{O. Diekmann} et al., J. Math. Biol. 80, No. 1--2, 205--273 (2020; Zbl 1433.92034) Full Text: DOI
Diekmann, Odo; Gyllenberg, Mats; Metz, Johan A. J. On models of physiologically structured populations and their reduction to ordinary differential equations. (English) Zbl 1432.92071 J. Math. Biol. 80, No. 1-2, 189-204 (2020). MSC: 92D25 60K10 34C60 PDFBibTeX XMLCite \textit{O. Diekmann} et al., J. Math. Biol. 80, No. 1--2, 189--204 (2020; Zbl 1432.92071) Full Text: DOI
Diekmann, Odo; Gyllenberg, Mats; Metz, J. A. J. Finite dimensional state representation of linear and nonlinear delay systems. (English) Zbl 1405.34066 J. Dyn. Differ. Equations 30, No. 4, 1439-1467 (2018). MSC: 34K60 34K06 34K17 92D25 PDFBibTeX XMLCite \textit{O. Diekmann} et al., J. Dyn. Differ. Equations 30, No. 4, 1439--1467 (2018; Zbl 1405.34066) Full Text: DOI Link
Diekmann, Odo; Gyllenberg, Mats; Metz, J. A. J.; Nakaoka, Shinji; de Roos, André M. Erratum to: “Daphnia revisited: local stability and bifurcation theory for physiologically structured population models explained by way of an example”. (English) Zbl 1403.92324 J. Math. Biol. 75, No. 1, 259-261 (2017). MSC: 92D40 34K20 37N25 92D25 45D05 65L05 PDFBibTeX XMLCite \textit{O. Diekmann} et al., J. Math. Biol. 75, No. 1, 259--261 (2017; Zbl 1403.92324) Full Text: DOI
Metz, Johan A. Jacob; Staňková, Kateřina; Johansson, Jacob The canonical equation of adaptive dynamics for life histories: from fitness-returns to selection gradients and Pontryagin’s maximum principle. (English) Zbl 1365.92077 J. Math. Biol. 72, No. 4, 1125-1152 (2016). MSC: 92D15 92D40 37N25 49K15 49N90 PDFBibTeX XMLCite \textit{J. A. J. Metz} et al., J. Math. Biol. 72, No. 4, 1125--1152 (2016; Zbl 1365.92077) Full Text: DOI
Geritz, Stefan A. H.; Metz, Johan A. J.; Rueffler, Claus Mutual invadability near evolutionarily singular strategies for multivariate traits, with special reference to the strongly convergence stable case. (English) Zbl 1365.92074 J. Math. Biol. 72, No. 4, 1081-1099 (2016). MSC: 92D15 92D10 PDFBibTeX XMLCite \textit{S. A. H. Geritz} et al., J. Math. Biol. 72, No. 4, 1081--1099 (2016; Zbl 1365.92074) Full Text: DOI Link
Metz, Johan A. J.; Geritz, Stefan A. H. Frequency dependence 3.0: an attempt at codifying the evolutionary ecology perspective. (English) Zbl 1337.92151 J. Math. Biol. 72, No. 4, 1011-1037 (2016). MSC: 92D15 92D25 92D40 49K99 PDFBibTeX XMLCite \textit{J. A. J. Metz} and \textit{S. A. H. Geritz}, J. Math. Biol. 72, No. 4, 1011--1037 (2016; Zbl 1337.92151) Full Text: DOI
Gupta, Ankit; Metz, J. A. J.; Tran, Viet Chi A new proof for the convergence of an individual based model to the trait substitution sequence. (English) Zbl 1310.92038 Acta Appl. Math. 131, No. 1, 1-27 (2014). MSC: 92D15 60J80 60K35 60F99 PDFBibTeX XMLCite \textit{A. Gupta} et al., Acta Appl. Math. 131, No. 1, 1--27 (2014; Zbl 1310.92038) Full Text: DOI arXiv
Collet, Pierre; Méléard, Sylvie; Metz, Johan A. J. A rigorous model study of the adaptive dynamics of Mendelian diploids. (English) Zbl 1300.92075 J. Math. Biol. 67, No. 3, 569-607 (2013). MSC: 92D25 60J80 37N25 92D15 60J75 PDFBibTeX XMLCite \textit{P. Collet} et al., J. Math. Biol. 67, No. 3, 569--607 (2013; Zbl 1300.92075) Full Text: DOI arXiv
De Roos, André M.; Metz, Johan A. J.; Persson, Lennart Ontogenetic symmetry and asymmetry in energetics. (English) Zbl 1329.92104 J. Math. Biol. 66, No. 4-5, 889-914 (2013). MSC: 92D25 PDFBibTeX XMLCite \textit{A. M. De Roos} et al., J. Math. Biol. 66, No. 4--5, 889--914 (2013; Zbl 1329.92104) Full Text: DOI Link
Rueffler, Claus; Metz, Johan A. J. Necessary and sufficient conditions for \(R_0\) to be a sum of contributions of fertility loops. (English) Zbl 1329.92109 J. Math. Biol. 66, No. 4-5, 1099-1122 (2013). MSC: 92D25 92D15 PDFBibTeX XMLCite \textit{C. Rueffler} and \textit{J. A. J. Metz}, J. Math. Biol. 66, No. 4--5, 1099--1122 (2013; Zbl 1329.92109) Full Text: DOI
Metz, J. A. J. On the concept of individual in ecology and evolution. (English) Zbl 1259.92078 J. Math. Biol. 66, No. 4-5, 635-647 (2013). MSC: 92D25 92D15 92B05 PDFBibTeX XMLCite \textit{J. A. J. Metz}, J. Math. Biol. 66, No. 4--5, 635--647 (2013; Zbl 1259.92078) Full Text: DOI Link
Metz, J. A. J.; Tran, Viet Chi Daphnias: from the individual based model to the large population equation. (English) Zbl 1329.92144 J. Math. Biol. 66, No. 4-5, 915-933 (2013). MSC: 92D40 92D25 60J80 60K35 PDFBibTeX XMLCite \textit{J. A. J. Metz} and \textit{V. C. Tran}, J. Math. Biol. 66, No. 4--5, 915--933 (2013; Zbl 1329.92144) Full Text: DOI arXiv
Rueffler, Claus; Metz, Johan A. J.; Van Dooren, Tom J. M. What life cycle graphs can tell about the evolution of life histories. (English) Zbl 1258.92028 J. Math. Biol. 66, No. 1-2, 225-279 (2013). MSC: 92D15 05C90 65K10 65C20 PDFBibTeX XMLCite \textit{C. Rueffler} et al., J. Math. Biol. 66, No. 1--2, 225--279 (2013; Zbl 1258.92028) Full Text: DOI Link
Dieckmann, Ulf (ed.); Doebeli, Michael (ed.); Metz, Johan A. J. (ed.); Tautz, Diethard (ed.) Adaptive speciation. Reprint of the 2004 hardback ed. (English) Zbl 1239.92074 Cambridge Studies in Adaptive Dynamics 3. Cambridge: Cambridge University Press (ISBN 978-1-107-40418-2/pbk). xiv, 460 p. (2012). MSC: 92D15 92-06 PDFBibTeX XMLCite \textit{U. Dieckmann} (ed.) et al., Adaptive speciation. Reprint of the 2004 hardback ed. Cambridge: Cambridge University Press (2012; Zbl 1239.92074)
Metz, J. A. J.; Leimar, Olof A simple fitness proxy for structured populations with continuous traits, with case studies on the evolution of haplo-diploids and genetic dimorphisms. (English) Zbl 1403.92182 J. Biol. Dyn. 5, No. 2, 163-190 (2011). MSC: 92D15 92D10 PDFBibTeX XMLCite \textit{J. A. J. Metz} and \textit{O. Leimar}, J. Biol. Dyn. 5, No. 2, 163--190 (2011; Zbl 1403.92182) Full Text: DOI
Gyllenberg, Mats; Metz, J. A. J. (Hans); Service, Robert When do optimisation arguments make evolutionary sense? (English) Zbl 1379.92037 Chalub, Fabio A. C. C. (ed.) et al., The mathematics of Darwin’s legacy. Basel: Birkhäuser (ISBN 978-3-0348-0121-8/hbk; 978-3-0348-0122-5/ebook). Mathematics and Biosciences in Interaction, 233-268 (2011). MSC: 92D15 91A30 PDFBibTeX XMLCite \textit{M. Gyllenberg} et al., in: The mathematics of Darwin's legacy. Basel: Birkhäuser. 233--268 (2011; Zbl 1379.92037) Full Text: DOI Link
Diekmann, Odo; Gyllenberg, Mats; Metz, J. A. J.; Nakaoka, Shinji; de Roos, Andre M. Daphnia revisited: Local stability and bifurcation theory for physiologically structured population models explained by way of an example. (English) Zbl 1208.92082 J. Math. Biol. 61, No. 2, 277-318 (2010); erratum ibid. 75, No. 1, 259-261 (2017). MSC: 92D40 34K20 37N25 92D25 45D05 65L05 PDFBibTeX XMLCite \textit{O. Diekmann} et al., J. Math. Biol. 61, No. 2, 277--318 (2010; Zbl 1208.92082) Full Text: DOI
Parvinen, Kalle; Metz, Johan A. J. A novel fitness proxy in structured locally finite metapopulations with diploid genetics, with an application to dispersal evolution. (English) Zbl 1210.92025 Theor. Popul. Biol. 73, No. 4, 517-528 (2008). MSC: 92D15 92D40 91A22 92D10 91A40 PDFBibTeX XMLCite \textit{K. Parvinen} and \textit{J. A. J. Metz}, Theor. Popul. Biol. 73, No. 4, 517--528 (2008; Zbl 1210.92025) Full Text: DOI
Durinx, Michel; Metz, J. A. J. (Hans); Meszéna, Géza Adaptive dynamics for physiologically structured population models. (English) Zbl 1146.92027 J. Math. Biol. 56, No. 5, 673-742 (2008). MSC: 92D25 60J85 92D15 37N25 PDFBibTeX XMLCite \textit{M. Durinx} et al., J. Math. Biol. 56, No. 5, 673--742 (2008; Zbl 1146.92027) Full Text: DOI Link
Metz, Hans Deutsch, Andreas (ed.); Bravo de la Parra, Rafael (ed.); de Boer, Rob J. (ed.); Diekmann, Odo (ed.); Jagers, Peter (ed.); Kisdi, Eva (ed.); Kretzschmar, Mirjam (ed.); Lansky, Petr (ed.) Mathematical modeling of biological systems. Volume II: Epidemiology, evolution and ecology, immunology, neural systems and the brain, and innovative mathematical methods. Selected contributions of the European conference on mathematical and theoretical biology (ECMTB05, Dresden, Germany, July 2005). (English) Zbl 1130.92001 Modeling and Simulation in Science, Engineering and Technology. Boston, MA: Birkhäuser (ISBN 978-0-8176-4555-7/hbk). xviii, 386 p. (2008). MSC: 92-06 00B25 37N25 60-06 60K35 76Z05 93A30 PDFBibTeX XMLCite \textit{H. Metz} et al., Mathematical modeling of biological systems. Volume II: Epidemiology, evolution and ecology, immunology, neural systems and the brain, and innovative mathematical methods. Selected contributions of the European conference on mathematical and theoretical biology (ECMTB05, Dresden, Germany, July 2005). Boston, MA: Birkhäuser (2008; Zbl 1130.92001)
Dieckmann, Ulf; Metz, Johan A. J. Surprising evolutionary predictions from enhanced ecological realism. (English) Zbl 1117.92044 Theor. Popul. Biol. 69, No. 3, 263-281 (2006). MSC: 92D15 91A22 91A40 PDFBibTeX XMLCite \textit{U. Dieckmann} and \textit{J. A. J. Metz}, Theor. Popul. Biol. 69, No. 3, 263--281 (2006; Zbl 1117.92044) Full Text: DOI
Meszéna, Géza; Gyllenberg, Mats; Pásztor, Liz; Metz, Johan A. J. Competitive exclusion and limiting similarity: A unified theory. (English) Zbl 1085.92048 Theor. Popul. Biol. 69, No. 1, 68-87 (2006). MSC: 92D40 37N25 92D25 PDFBibTeX XMLCite \textit{G. Meszéna} et al., Theor. Popul. Biol. 69, No. 1, 68--87 (2006; Zbl 1085.92048) Full Text: DOI Link
Dieckmann, Ulf (ed.); Law, Richard (ed.); Metz, Johan A. J. (ed.) The geometry of ecological interactions: simplifying spatial complexity. 1st paperback ed. (English) Zbl 1170.92339 Cambridge Studies in Adaptive Dynamics 1. Cambridge: Cambridge University Press (ISBN 978-0-521-02209-5/pbk). xiv, 564 p. (2005). MSC: 92D40 92-06 62H11 62P10 PDFBibTeX XMLCite \textit{U. Dieckmann} (ed.) et al., The geometry of ecological interactions: simplifying spatial complexity. 1st paperback ed. Cambridge: Cambridge University Press (2005; Zbl 1170.92339)
Dieckmann, Ulf (ed.); Doebeli, Michael (ed.); Metz, Johan A. J. (ed.); Tautz, Diethard (ed.) Adaptive speciation. (English) Zbl 1141.92331 Cambridge Studies in Adaptive Dynamics 3. Cambridge: Cambridge University Press (ISBN 978-0-521-82842-0/hbk). xiv, 460 p. (2004). MSC: 92D15 92-06 PDFBibTeX XMLCite \textit{U. Dieckmann} (ed.) et al., Adaptive speciation. Cambridge: Cambridge University Press (2004; Zbl 1141.92331)
Rueffler, C.; Van Dooren, T. J. M.; Metz, J. A. J. Adaptive walks on changing landscapes: Levins’ approach extended. (English) Zbl 1106.92057 Theor. Popul. Biol. 65, No. 2, 165-178 (2004). MSC: 92D15 PDFBibTeX XMLCite \textit{C. Rueffler} et al., Theor. Popul. Biol. 65, No. 2, 165--178 (2004; Zbl 1106.92057) Full Text: DOI Link
Diekmann, O.; Gyllenberg, M.; Metz, J. A. J. Steady-state analysis of structured population models. (English) Zbl 1098.92062 Theor. Popul. Biol. 63, No. 4, 309-338 (2003). MSC: 92D40 37N25 92D25 34C60 PDFBibTeX XMLCite \textit{O. Diekmann} et al., Theor. Popul. Biol. 63, No. 4, 309--338 (2003; Zbl 1098.92062) Full Text: DOI
Gyllenberg, Mats; Jacobs, F. J. A.; Metz, J. A. J. On the concept of attractor for community-dynamical processes. II: The case of structured populations. (English) Zbl 1029.92024 J. Math. Biol. 47, No. 3, 235-248 (2003). MSC: 92D40 37N25 28C15 PDFBibTeX XMLCite \textit{M. Gyllenberg} et al., J. Math. Biol. 47, No. 3, 235--248 (2003; Zbl 1029.92024) Full Text: DOI
Jacobs, F. J. A.; Metz, J. A. J. On the concept of attractor for community-dynamical processes. I: The case of unstructured populations. (English) Zbl 1023.92035 J. Math. Biol. 47, No. 3, 222-234 (2003). MSC: 92D40 37N25 37C70 PDFBibTeX XMLCite \textit{F. J. A. Jacobs} and \textit{J. A. J. Metz}, J. Math. Biol. 47, No. 3, 222--234 (2003; Zbl 1023.92035) Full Text: DOI
Dieckmann, Ulf (ed.); Metz, Johan A. J (ed.); Sabelis, Maurice W (ed.); Sigmund, Karl (ed.) Adaptive dynamics of infectious diseases. In pursuit of virulence management. (English) Zbl 1228.92050 Cambridge Studies in Adaptive Dynamics 2. Cambridge: Cambridge University Press (ISBN 0-521-78165-5/hbk; 0-521-02213-4/pbk; 978-0-511-52572-8/ebook). xviii, 532 p. (2002). MSC: 92C60 92D30 92-06 00B15 PDFBibTeX XMLCite \textit{U. Dieckmann} (ed.) et al., Adaptive dynamics of infectious diseases. In pursuit of virulence management. Cambridge: Cambridge University Press (2002; Zbl 1228.92050) Full Text: DOI
Gyllenberg, Mats; Metz, J. A. J. On fitness in structured metapopulations. (English) Zbl 0995.92034 J. Math. Biol. 43, No. 6, 545-560 (2001). MSC: 92D15 92D25 PDFBibTeX XMLCite \textit{M. Gyllenberg} and \textit{J. A. J. Metz}, J. Math. Biol. 43, No. 6, 545--560 (2001; Zbl 0995.92034) Full Text: DOI Link
Diekmann, O.; Gyllenberg, M.; Huang, H.; Kirkilionis, M.; Metz, J. A. J. On the formulation and analysis of general deterministic structured population models. II. Nonlinear theory. (English) Zbl 1028.92019 J. Math. Biol. 43, No. 2, 157-189 (2001). Reviewer: Jim M.Cushing (Tucson) MSC: 92D25 47H20 PDFBibTeX XMLCite \textit{O. Diekmann} et al., J. Math. Biol. 43, No. 2, 157--189 (2001; Zbl 1028.92019) Full Text: DOI
Geritz, Stefan A. H.; van der Meijden, Ed; Metz, Johan A. J. Evolutionary dynamics of seed size and seedling competitive ability. (English) Zbl 0946.92015 Theor. Popul. Biol. 55, No. 3, 324-343 (1999). MSC: 92D15 92D40 PDFBibTeX XMLCite \textit{S. A. H. Geritz} et al., Theor. Popul. Biol. 55, No. 3, 324--343 (1999; Zbl 0946.92015) Full Text: DOI Link
Diekmann, O.; De Jong, M. C. M.; Metz, J. A. J. A deterministic epidemic model taking account of repeated contacts between the same individuals. (English) Zbl 0940.92023 J. Appl. Probab. 35, No. 2, 448-462 (1998). MSC: 92D30 05C80 60J85 05C90 PDFBibTeX XMLCite \textit{O. Diekmann} et al., J. Appl. Probab. 35, No. 2, 448--462 (1998; Zbl 0940.92023) Full Text: DOI Link
Diekmann, Odo; Gyllenberg, Mats; Metz, J. A. J.; Thieme, Horst R. On the formulation and analysis of general deterministic structured population models. I: Linear theory. (English) Zbl 0909.92023 J. Math. Biol. 36, No. 4, 349-388 (1998). Reviewer: J.M.Cushing (Tucson) MSC: 92D25 PDFBibTeX XMLCite \textit{O. Diekmann} et al., J. Math. Biol. 36, No. 4, 349--388 (1998; Zbl 0909.92023) Full Text: DOI
Diekmann, O.; de Koeijer, A. A.; Metz, J. A. J. On the final size of epidemics within herds. (English) Zbl 0852.92019 Can. Appl. Math. Q. 4, No. 1, 21-30 (1996). MSC: 92D30 45D05 45G10 PDFBibTeX XMLCite \textit{O. Diekmann} et al., Can. Appl. Math. Q. 4, No. 1, 21--30 (1996; Zbl 0852.92019)
Heesterbeek, J. A. P.; Metz, J. A. J. The saturating contact rate in epidemic models. (English) Zbl 1076.92510 Isham, Valerie (ed.) et al., Models for infectious human diseases: their structure and relation to data. Cambridge: Cambridge University Press (ISBN 0-521-45339-9/hbk). Publ. Newton Inst. 6, 308-310 (1996). MSC: 92D30 PDFBibTeX XMLCite \textit{J. A. P. Heesterbeek} and \textit{J. A. J. Metz}, Publ. Newton Inst. 6, 308--310 (1996; Zbl 1076.92510)
Metz, J. A. J.; Geritz, S. A. H.; Meszéna, G.; Jacobs, F. J. A.; van Heerwaarden, J. S. Adaptive dynamics, a geometrical study of the consequences of nearly faithful reproduction. (English) Zbl 0972.92024 van Strien, S. J. (ed.) et al., Stochastic and spatial structures of dynamical systems. Proceedings of the meeting, Amsterdam, Netherlands, January 1995. Amsterdam: North-Holland. Verh. Afd. Natuurkd., 1. Reeks, K. Ned. Akad. Wet. 45, 183-231 (1996). MSC: 92D15 91A40 92D25 37N25 PDFBibTeX XMLCite \textit{J. A. J. Metz} et al., Verh. Afd. Natuurkd., 1. Reeks, K. Ned. Akad. Wet. 45, 183--231 (1996; Zbl 0972.92024)
Metz, J. A. J.; van den Bosch, F. Velocities of epidemic spread. (English) Zbl 0843.92022 Mollison, Denis (ed.), Epidemic models: their structure and relation to data. Cambridge: Cambridge University Press. Publ. Newton Inst. 5, 150-186 (1995). MSC: 92D30 92D40 45K05 45M05 PDFBibTeX XMLCite \textit{J. A. J. Metz} and \textit{F. van den Bosch}, Publ. Newton Inst. 5, 150--186 (1995; Zbl 0843.92022)
Diekmann, Odo; Heesterbeek, Hans; Metz, Hans The legacy of Kermack and McKendrick. (English) Zbl 0839.92018 Mollison, Denis (ed.), Epidemic models: their structure and relation to data. Cambridge: Cambridge University Press. Publ. Newton Inst. 5, 95-115 (1995). MSC: 92D30 PDFBibTeX XMLCite \textit{O. Diekmann} et al., Publ. Newton Inst. 5, 95--115 (1995; Zbl 0839.92018)
Kornet, D. J.; Metz, J. A. J.; Schellinx, H. A. J. M. Internodons as equivalence classes in genealogical networks: Building- blocks for a rigorous species concept. (English) Zbl 0836.92014 J. Math. Biol. 34, No. 1, 110-122 (1995). MSC: 92D15 PDFBibTeX XMLCite \textit{D. J. Kornet} et al., J. Math. Biol. 34, No. 1, 110--122 (1995; Zbl 0836.92014) Full Text: DOI
Greiner, G.; Heesterbeek, J. A. P.; Metz, J. A. J. A singular perturbation theorem for evolution equations and time-scale arguments for structured population models. (English) Zbl 0828.60069 Can. Appl. Math. Q. 2, No. 4, 435-459 (1994). MSC: 60J70 92D25 PDFBibTeX XMLCite \textit{G. Greiner} et al., Can. Appl. Math. Q. 2, No. 4, 435--459 (1994; Zbl 0828.60069)
Diekmann, Odo; Metz, J. A. J. On the reciprocal relationship between life histories and population dynamics. (English) Zbl 0818.92015 Levin, S. A. (ed.), Frontiers in mathematical biology. Berlin: Springer- Verlag. Lect. Notes Biomath. 100, 263-279 (1994). MSC: 92D25 PDFBibTeX XMLCite \textit{O. Diekmann} and \textit{J. A. J. Metz}, Lect. Notes Biomath. 100, 263--279 (1994; Zbl 0818.92015)
van den Bosch, F.; Zadoks, J. C.; Metz, J. A. J. Continental expansion of plant disease: a survey of some recent results. (English) Zbl 1102.92309 Grasman, J. (ed.) et al., Predictability and nonlinear modelling in natural sciences and economics. Proceedings of the international conference, Wageningen, Netherlands, April 5–7, 1993. Dordrecht: Kluwer Academic Publishers (ISBN 0-7923-2943-0/hbk). 274-281 (1994). MSC: 92D40 92C80 PDFBibTeX XMLCite \textit{F. van den Bosch} et al., in: Predictability and nonlinear modelling in natural sciences and economics. Proceedings of the international conference, Wageningen, Netherlands, April 5--7, 1993. Dordrecht: Kluwer Academic Publishers. 274--281 (1994; Zbl 1102.92309)
Diekmann, O.; Gyllenberg, Mats; Metz, J. A. J.; Thieme, Horst The “cumulative” formulation of (physiologically) structured population models. (English) Zbl 0795.92021 Clément, Philippe (ed.) et al., Evolution equations, control theory, and biomathematics. 3rd international workshop-conference, held at the Han-sur-Lesse Conference Center of the Belgian Ministry of Education. Proceedings. Basel: Dekker. Lect. Notes Pure Appl. Math. 155, 145-154 (1993). Reviewer: O.Diekmann MSC: 92D25 45N05 45D05 PDFBibTeX XMLCite \textit{O. Diekmann} et al., Lect. Notes Pure Appl. Math. 155, 145--154 (1993; Zbl 0795.92021)
Heesterbeek, J. A. P.; Metz, J. A. J. The saturating contact rate in marriage- and epidemic models. (English) Zbl 0770.92021 J. Math. Biol. 31, No. 5, 529-539 (1993). MSC: 92D30 34D15 34E15 PDFBibTeX XMLCite \textit{J. A. P. Heesterbeek} and \textit{J. A. J. Metz}, J. Math. Biol. 31, No. 5, 529--539 (1993; Zbl 0770.92021) Full Text: DOI
Metz, J. A. J.; Diekmann, O. Exact finite dimensional representations of models for physiologically structured populations. I: The abstract foundations of linear chain trickery. (English) Zbl 0766.92017 Differential equations with applications in biology, physics, and engineering, Proc. Int. Conf., Leibnitz/Austria, Lect. Notes Pure Appl. Math. 133, 269-289 (1991). MSC: 92D25 34C99 35Q80 PDFBibTeX XMLCite \textit{J. A. J. Metz} and \textit{O. Diekmann}, Lect. Notes Pure Appl. Math. 133, 269--289 (1991; Zbl 0766.92017)
De Roos, A. M.; Metz, J. A. J. Towards a numerical analysis of the escalator boxcar train. (English) Zbl 0742.92016 Differential equations with applications in biology, physics, and engineering, Proc. Int. Conf., Leibnitz/Austria, Lect. Notes Pure Appl. Math. 133, 91-113 (1991). Reviewer: A.M.De Roos MSC: 92D25 65M25 35Q92 PDFBibTeX XMLCite \textit{A. M. De Roos} and \textit{J. A. J. Metz}, Lect. Notes Pure Appl. Math. 133, 91--113 (1991; Zbl 0742.92016)
Zonneveld, C.; Metz, J. A. J. Models on butterfly protandry: Virgin females are at risk to die. (English) Zbl 0737.92028 Theor. Popul. Biol. 40, No. 3, 308-321 (1991). MSC: 92D50 92D25 PDFBibTeX XMLCite \textit{C. Zonneveld} and \textit{J. A. J. Metz}, Theor. Popul. Biol. 40, No. 3, 308--321 (1991; Zbl 0737.92028) Full Text: DOI
van den Bosch, F.; Metz, J. A. J.; Diekmann, O. The velocity of spatial population expansion. (English) Zbl 0732.92026 J. Math. Biol. 28, No. 5, 529-565 (1990). Reviewer: G.Gripenberg (Espoo) MSC: 92D40 PDFBibTeX XMLCite \textit{F. van den Bosch} et al., J. Math. Biol. 28, No. 5, 529--565 (1990; Zbl 0732.92026) Full Text: DOI
Diekmann, O.; Heesterbeek, J. A. P.; Metz, J. A. J. On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations. (English) Zbl 0726.92018 J. Math. Biol. 28, No. 4, 365-382 (1990). Reviewer: S.Totaro (Firenze) MSC: 92D30 47A75 PDFBibTeX XMLCite \textit{O. Diekmann} et al., J. Math. Biol. 28, No. 4, 365--382 (1990; Zbl 0726.92018) Full Text: DOI
De Roos, A. M.; Metz, J. A. J.; Evers, E.; Leipoldt, A. A size dependent predator-prey interaction: Who pursues whom? (English) Zbl 0718.92026 J. Math. Biol. 28, No. 6, 609-643 (1990). MSC: 92D40 PDFBibTeX XMLCite \textit{A. M. De Roos} et al., J. Math. Biol. 28, No. 6, 609--643 (1990; Zbl 0718.92026) Full Text: DOI
Diekmann, O.; Heesterbeek, J. A. P.; Metz, J. A. J. Infectious diseases in structured populations. (English) Zbl 0709.92540 CWI Q. 3, No. 2, 151-158 (1990). MSC: 92-XX PDFBibTeX XMLCite \textit{O. Diekmann} et al., CWI Q. 3, No. 2, 151--158 (1990; Zbl 0709.92540)
Heijmans, H. J. A. M.; Metz, J. A. J. Small parameters in structured population models and the Trotter-Kato theorem. (English) Zbl 0696.92017 SIAM J. Math. Anal. 20, No. 4, 870-885 (1989). Reviewer: R.Manthey MSC: 92D25 35A35 47D03 PDFBibTeX XMLCite \textit{H. J. A. M. Heijmans} and \textit{J. A. J. Metz}, SIAM J. Math. Anal. 20, No. 4, 870--885 (1989; Zbl 0696.92017) Full Text: DOI
Diekmann, O.; Metz, J. A. J.; Sabelis, M. W. Reflections and calculations on a prey-predator-patch problem. (English) Zbl 0673.92012 Acta Appl. Math. 14, No. 1-2, 23-35 (1989). Reviewer: H.de Arazoza MSC: 92D40 34D99 PDFBibTeX XMLCite \textit{O. Diekmann} et al., Acta Appl. Math. 14, No. 1--2, 23--35 (1989; Zbl 0673.92012) Full Text: DOI
Diekmann, Odo; Metz, Hans Exploring linear chain trickery for physiologically structured populations. (English) Zbl 0664.92014 CWI Q. 2, No. 1, 3-14 (1989). MSC: 92D25 37-XX PDFBibTeX XMLCite \textit{O. Diekmann} and \textit{H. Metz}, CWI Q. 2, No. 1, 3--14 (1989; Zbl 0664.92014)
Geritz, S. A. H.; Metz, J. A. J.; Klinkhamer, P. G. L.; de Jong, T. J. Competition in safe-sites. (English) Zbl 0638.92022 Theor. Popul. Biol. 33, No. 2, 161-180 (1988). MSC: 92D40 PDFBibTeX XMLCite \textit{S. A. H. Geritz} et al., Theor. Popul. Biol. 33, No. 2, 161--180 (1988; Zbl 0638.92022) Full Text: DOI
Klinkhamer, P. G. L.; de Jong, T. J.; Metz, J. A. J.; Val, J. Life history tactics of annual organisms: The joint effects of dispersal and delayed germination. (English) Zbl 0614.92017 Theor. Popul. Biol. 32, 127-156 (1987). MSC: 92D40 65C20 92D25 PDFBibTeX XMLCite \textit{P. G. L. Klinkhamer} et al., Theor. Popul. Biol. 32, 127--156 (1987; Zbl 0614.92017) Full Text: DOI
Metz, J. A. J. (ed.); Diekmann, O. (ed.) [Voorn, W. J.; Koch, A. L.; Goudriaan, J.; Thieme, H. R.; Gourney, W. S. C.; Nisbet, R. M.; Blythe, S. P.] The dynamics of physiologically structured populations. (English) Zbl 0614.92014 Lecture Notes in Biomathematics, 68. Berlin etc.: Springer-Verlag. XII, 511 p. DM 90.00 (1986). Reviewer: M.Kimmel MSC: 92D25 92-02 35B40 47D03 45A05 PDFBibTeX XML
Lauwerier, H. A.; Metz, J. A. J. Hopf bifurcation in host-parasitoid models. (English) Zbl 0609.92029 IMA J. Math. Appl. Med. Biol. 3, 191-210 (1986). MSC: 92D25 37G99 34C05 PDFBibTeX XMLCite \textit{H. A. Lauwerier} and \textit{J. A. J. Metz}, IMA J. Math. Appl. Med. Biol. 3, 191--210 (1986; Zbl 0609.92029)
Metz, J. A. J.; van Batenburg, F. H. D. Holling’s ”hungry mantid” model for the invertebrate functional response considered as a Markov process. II: Negligible handling time. (English) Zbl 0616.92009 J. Math. Biol. 22, 239-257 (1985). MSC: 92D25 92D40 PDFBibTeX XMLCite \textit{J. A. J. Metz} and \textit{F. H. D. van Batenburg}, J. Math. Biol. 22, 239--257 (1985; Zbl 0616.92009) Full Text: DOI
Metz, J. A. J.; van Batenburg, F. H. D. Holling’s ”hungry mantid” model for the invertebrate functional response considered as a Markov process. I: The full model and some of its limits. (English) Zbl 0616.92008 J. Math. Biol. 22, 209-238 (1985). MSC: 92D25 92D40 PDFBibTeX XMLCite \textit{J. A. J. Metz} and \textit{F. H. D. van Batenburg}, J. Math. Biol. 22, 209--238 (1985; Zbl 0616.92008) Full Text: DOI
Nisbet, R. M.; Blythe, S. P.; Gurney, W. S. C.; Metz, J. A. J. Stage-structure models of populations with distinct growth and development processes. (English) Zbl 0613.92019 IMA J. Math. Appl. Med. Biol. 2, 57-68 (1985). MSC: 92D25 34K99 PDFBibTeX XMLCite \textit{R. M. Nisbet} et al., IMA J. Math. Appl. Med. Biol. 2, 57--68 (1985; Zbl 0613.92019)
Metz, J. A. J.; van Batenburg, F. H. D. Holling’s ”hungry mantid” model for the invertebrate functional response considered as a Markov process. Part 0: A survey of the main ideas and results. (English) Zbl 0538.92021 Mathematical ecology, Proc. Res. Semin., Miramare-Trieste/Italy 1982, Lect. Notes Biomath. 54, 29-41 (1984). MSC: 92D25 92D40 PDFBibTeX XML
Diekmann, O.; Metz, J. A. J.; Kooijman, S. A. L. M.; Heijmans, H. J. A. M. Continuum population dynamics with an application to Daphnia magra. (English) Zbl 0534.92022 Nieuw Arch. Wiskd., IV. Ser. 2, 82-109 (1984). Reviewer: D.A.Sanchez MSC: 92D25 47D03 PDFBibTeX XMLCite \textit{O. Diekmann} et al., Nieuw Arch. Wiskd., IV. Ser. 2, 82--109 (1984; Zbl 0534.92022)
Diekmann, O.; Lauwerier, H. A.; Aldenberg, T.; Metz, J. A. J. Growth, fission and the stable size distribution. (English) Zbl 0533.92016 J. Math. Biol. 18, 135-148 (1983). Reviewer: W.Nöbauer MSC: 92D25 PDFBibTeX XMLCite \textit{O. Diekmann} et al., J. Math. Biol. 18, 135--148 (1983; Zbl 0533.92016) Full Text: DOI
Metz, Hans A. J.; Dienske, Herman; de Jonge, Gerrit; Putters, Felix A. Continuous-time Markov chains as models for animal behaviour. (English) Zbl 0522.92027 Bull. Math. Biol. 45, 643-658 (1983). MSC: 92D50 60J27 62M05 PDFBibTeX XMLCite \textit{H. A. J. Metz} et al., Bull. Math. Biol. 45, 643--658 (1983; Zbl 0522.92027) Full Text: DOI
Metz, Hans A. J. State space models for animal behaviour. (English) Zbl 0376.92006 Ann. Syst. Res. 6(1977), 65-109 (1978). MSC: 92B05 PDFBibTeX XML