Picture of Johannes Müller

Prof. Dr. Johannes Müller

Technical University of Munich

Associate Professorship of Applied Mathematics in Ecology and Medicine (Prof. Müller)

Postal address

Boltzmannstr. 3
85748 Garching b. München

  • Phone: +49 (89) 289 - 18392
  • johannes.mueller(at)mytum.de

Raum 02.06.033


  • Ordinary differential equations and bifurcation theory
  • Cellular Automata
  • Partial differential equations and dimension reduction methods
  • Stochastic branching processes
  • Particle processes
  • Parameter estimation, model comparison


Public Health:

  • Models describing the spread of diseases in populations
  • Control measures like mass vaccination, ring vaccination, contact tracing
  • Comparison of different control measures under various aspects (effectivity, economics)


  • Population dynamics 
  • Quroum Sensing and bacterial communication strategies


  • Effect of switching environment on evolution
  • evolutionary stable nutirent uptake strategies

Social Sciences

  • elections and neutral models
  • communication models



Volker Hösel, Christina Kutter, Johannes Müller
Mathematical Population Genetics and Evolution of Bacterial Cooperation
World Scientific Press, 2020

K.P.Hadeler, J. Müller
Cellular Automata - theory and applications
Monographie Springer, 2017.

J. Müller, Ch. Kuttler.
Methods and Models in Mathematical Biology. Springer, 2015.

G. de Vries, Th. Hillen, M. Lewis, B. Schönfisch, J. Müller.
A short course in Mathematical Biology. SIAM, 2006.


J. Müller. 
Optimal vaccination patterns in age structured populations. 
Dissertation, Fakultät für Mathematik, Tübingen, 1994.

J. Müller. 
The Mathematics of Infection. 
Habilitation theses, Tübingen, 2000


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  • Gsänger, Matthias; Hösel, Volker; Mohamad-Klotzbach, Christoph; Müller, Johannes: Opinion Models, Election Data, and Political Theory. Entropy 26 (3), 2024, 212 mehr… BibTeX Volltext ( DOI )


  • Adebanji, Atinuke O.; Aschl, Franz; Chumo, Ednah Chepkemoi; Owiredu, Emmanuel Odame; Müller, Johannes; Mbegalo, Tukae: Social Response and Measles Dynamics. Stats 6 (4), 2023, 1280-1297 mehr… BibTeX Volltext ( DOI )
  • John, Sona; Müller, Johannes: Age structure, replicator equation, and the prisoner’s dilemma. Mathematical Biosciences, 2023, 109076 mehr… BibTeX Volltext ( DOI )
  • Müller, Johannes; Hösel, Volker: Contact tracing & super-spreaders in the branching-process model. Journal of Mathematical Biology 86 (2), 2023 mehr… BibTeX Volltext ( DOI )
  • Okolie, Augustine; Müller, Johannes; Kretzschmar, Mirjam: Parameter estimation for contact tracing in graph-based models. Journal of The Royal Society Interface 20 (208), 2023 mehr… BibTeX Volltext ( DOI )


  • Musundi, Beryl; Müller, Johannes; Feng, Zhilan: A Multi-Scale Model for Cholera Outbreaks. Mathematics 10 (17), 2022, 3114 mehr… BibTeX Volltext ( DOI )
  • Müller, Johannes; Tellier, Aurélien: Life-History traits and the replicator equation. Mathematical Biosciences 349, 2022, 108826 mehr… BibTeX Volltext ( DOI )
  • Müller, Johannes; Tellier, Aurélien; Kurschilgen, Michael: Echo chambers and opinion dynamics explain the occurrence of vaccination hesitancy. Royal Society Open Science 9 (10), 2022 mehr… BibTeX Volltext ( DOI )
  • Sanusi, Usman; John, Sona; Mueller, Johannes; Tellier, Aurélien: Quiescence Generates Moving Average in a Stochastic Epidemiological Model with One Host and Two Parasites. Mathematics 10 (13), 2022, 2289 mehr… BibTeX Volltext ( DOI )


  • Kretzschmar, Mirjam; Müller, Johannes: Should I stay or should I go? eLife 10, 2021 mehr… BibTeX Volltext ( DOI )
  • Müller, Johannes; Kretzschmar, Mirjam: Contact tracing – Old models and new challenges. Infectious Disease Modelling 6, 2021, 222-231 mehr… BibTeX Volltext ( DOI )
  • Müller, Johannes; Kretzschmar, Mirjam: Forward thinking on backward tracing. Nature Physics 17 (5), 2021, 555-556 mehr… BibTeX Volltext ( DOI )
  • Pollmann, Tina R.; Schönert, Stefan; Müller, Johannes; Pollmann, Julia; Resconi, Elisa; Wiesinger, Christoph; Haack, Christian; Shtembari, Lolian; Turcati, Andrea; Neumair, Birgit; Meighen-Berger, Stephan; Zattera, Giovanni; Neumair, Matthias; Apel, Uljana; Okolie, Augustine: The impact of digital contact tracing on the SARS-CoV-2 pandemic—a comprehensive modelling study. EPJ Data Science 10 (1), 2021 mehr… BibTeX Volltext ( DOI )


  • Hösel, Volker; Kuttler, Christina; Müller, Johannes: Mathematical Population Genetics and Evolution of Bacterial Cooperation. WORLD SCIENTIFIC, 2020 mehr… BibTeX Volltext ( DOI )
  • Okolie, Augustine; Müller, Johannes: Exact and approximate formulas for contact tracing on random trees. Mathematical Biosciences 321, 2020, 108320 mehr… BibTeX Volltext ( DOI )
  • Spriewald, Stefanie; Stadler, Eva; Hense, Burkhard A.; Münch, Philipp C.; McHardy, Alice C.; Weiss, Anna S.; Obeng, Nancy; Müller, Johannes; Stecher, Bärbel: Evolutionary Stabilization of Cooperative Toxin Production through a Bacterium-Plasmid-Phage Interplay. mBio 11 (4), 2020 mehr… BibTeX Volltext ( DOI )


  • Hösel, Volker; Müller, Johannes; Tellier, Aurelien: Universality of neutral models: decision process in politics. Palgrave Communications 5 (1), 2019 mehr… BibTeX Volltext ( DOI )
  • Meehan, Michael T.; Cocks, Daniel G.; Müller, Johannes; McBryde, Emma S.: Global stability properties of a class of renewal epidemic models. Journal of Mathematical Biology 78 (6), 2019, 1713-1725 mehr… BibTeX Volltext ( DOI )
  • Müller, Johannes; Spriewald, Stefanie; Stecher, Bärbel; Stadler, Eva; Fuchs, Thilo M.: Evolutionary Stability of Salmonella Competition with the Gut Microbiota: How the Environment Fosters Heterogeneity in Exploitative and Interference Competition. Journal of Molecular Biology 431 (23), 2019, 4732-4748 mehr… BibTeX Volltext ( DOI )
  • Münch, Karin; Münch, Richard; Biedendieck, Rebekka; Jahn, Dieter; Müller, Johannes: Evolutionary model for the unequal segregation of high copy plasmids. PLOS Computational Biology 15 (3), 2019, e1006724 mehr… BibTeX Volltext ( DOI )
  • Sellinger, Thibaut; Müller, Johannes; Hösel, Volker; Tellier, Aurélien: Are the better cooperators dormant or quiescent? Mathematical Biosciences 318, 2019, 108272 mehr… BibTeX Volltext ( DOI )


  • Heinrich, Lukas; Müller, Johannes; Tellier, Aurélien; Živković, Daniel: Effects of population- and seed bank size fluctuations on neutral evolution and efficacy of natural selection. Theoretical Population Biology 123, 2018, 45-69 mehr… BibTeX Volltext ( DOI )


  • Hadeler, Karl-Peter; Müller, Johannes: Cellular Automata: Analysis and Applications. Springer International Publishing, 2017 mehr… BibTeX Volltext ( DOI )
  • Koopmann, Bendix; Müller, Johannes; Tellier, Aurélien; Živković, Daniel: Fisher–Wright model with deterministic seed bank and selection. Theoretical Population Biology 114, 2017, 29-39 mehr… BibTeX Volltext ( DOI )
  • Stadler, Eva; Müller, Johannes;: Analyzing plasmid segregation: Existence and stability of the eigensolution in a non-compact case. Discrete &Continuous Dynamical Systems - B 22 (11), 2017, 0-0 mehr… BibTeX Volltext ( DOI )


  • Müller, Johannes; Koopmann, Bendix: The effect of delay on contact tracing. Mathematical Biosciences 282, 2016, 204-214 mehr… BibTeX Volltext ( DOI )
  • Nuss, Aaron Mischa; Schuster, Franziska; Roselius, Louisa; Klein, Johannes; Bücker, René; Herbst, Katharina; Heroven, Ann Kathrin; Pisano, Fabio; Wittmann, Christoph; Münch, Richard; Müller, Johannes; Jahn, Dieter; Dersch, Petra: A Precise Temperature-Responsive Bistable Switch Controlling Yersinia Virulence. PLOS Pathogens 12 (12), 2016, e1006091 mehr… BibTeX Volltext ( DOI )


  • Cui, H.; Hense, B.A.; Müller, J.; Schröder, P.: Short term uptake and transport process for metformin in roots of Phragmites australis and Typha latifolia. Chemosphere 134, 2015, 307-312 mehr… BibTeX Volltext ( DOI )
  • Hense, B. A.; Kuttler, Ch.; Müller, J.: Functionality of autoinducer systems in complex envirronments – 5. In: Hagen, Stepen J. (Hrsg.): The Physical Basis of Bacterial Quorum Communication. Springer, 2015, 83-103 mehr… BibTeX Volltext ( DOI )
  • Kohler, D.; Müller, J.; Wever, U.: Cellular non-deterministic automata and partial differential equations. Physica D: Nonlinear Phenomena 311-312, 2015, 1-16 mehr… BibTeX Volltext ( DOI )
  • Kohler, Dominic; Marzouk, Youssef M.; Müller, Johannes; Wever, Utz: A new network approach to Bayesian inference in partial differential equations. International Journal for Numerical Methods in Engineering 104, 2015, 313-329 mehr… BibTeX Volltext ( DOI )
  • Matur, Meltem Gölgeli; Müller, Johannes; Kuttler, Christina; Hense, Burkhard A.: An Approximative Approach for Single Cell Spatial Modeling of Quorum Sensing. Journal of Computational Biology 22 (3), 2015, 227-235 mehr… BibTeX Volltext ( DOI )
  • Müller, Johannes; Jiang, Hengrui: Graphical limit sets for general cellular automata. Theoretical Computer Science 580, 2015, 14-27 mehr… BibTeX Volltext ( DOI )
  • Müller, Johannes; Kuttler, Christina: Methods and Models in Mathematical Biology – Deterministic and stochastic approaches. Springer Berlin Heidelberg, 2015 mehr… BibTeX Volltext ( DOI )
  • Münch, Karin M.; Müller, Johannes; Wienecke, Sarah; Bergmann, Simone; Heyber, Steffi; Biedendieck, Rebekka; Münch, Richard; Jahn, Dieter: Polar Fixation of Plasmids during Recombinant Protein Production in Bacillus megaterium Results in Population Heterogeneity. Applied and Environmental Microbiology 81 (17), 2015, 5976-5986 mehr… BibTeX Volltext ( DOI )
  • Stavropoulou, Faidra; Müller, Johannes: Parametrization of Random Vectors in Polynomial Chaos Expansions via Optimal Transportation. SIAM Journal on Scientific Computing 37, 2015, A2535-A2557 mehr… BibTeX Volltext ( DOI )


  • Kohler, Dominic; Müller, Johannes; Wever, Utz: Cellular Probabilistic Automata---A Novel Method for Uncertainty Propagation. SIAM/ASA Journal on Uncertainty Quantification 2 (1), 2014, 29-54 mehr… BibTeX Volltext ( DOI )
  • Müller, J.; Hense, B.A.; Marozava, S.; Kuttler, Ch.; Meckenstock, R.U.: Model selection for microbial nutrient uptake using a cost-benefit approach. Mathematical Biosciences 255, 2014, 52-70 mehr… BibTeX Volltext ( DOI )
  • Onyango, Nelson Owuor; Müller, Johannes: Determination of optimal vaccination strategies using an orbital stability threshold from periodically driven systems. Journal of Mathematical Biology 68 (3), 2014, 763-784 mehr… BibTeX Volltext ( DOI )
  • Roselius, Louisa; Langemann, Dirk; Müller, Johannes; Hense, Burkhard A.; Filges, Stefan; Jahn, Dieter; Münch, Richard: Modelling and analysis of a gene-regulatory feed-forward loop with basal expression of the second regulator. Journal of Theoretical Biology 363, 2014, 290-299 mehr… BibTeX Volltext ( DOI )
  • Uecke, Hannes; Müller, Johannes; Hense, Burkhard A.: Individual-Based Model for Quorum Sensing with Background Flow. Bulletin of Mathematical Biology 76, 2014, 1727-1746 mehr… BibTeX Volltext ( DOI )


  • Dräxl, Stephan; Müller, Johannes; Li, Wei B.; Michalke, Bernhard; Scherb, Hagen; Hense, Burkhard A.; Tschiersch, Jochen; Kanter, Ulrike; Schäffner, Anton R.: Caesium accumulation in yeast and plants is selectively repressed by loss of the SNARE Sec22p/SEC22. Nature Communications 4, 2013, 2092 mehr… BibTeX Volltext ( DOI )
  • Müller, J.; Hense, B.A.; Fuchs, T.M.; Utz, M.; Pötzsche, Ch.: Bet-hedging in stochastically switching environments. Journal of Theoretical Biology 336, 2013, 144-157 mehr… BibTeX Volltext ( DOI )
  • Müller, Johannes; Uecker, Hannes: Approximating the dynamics of communicating cells in a diffusive medium by ODEs—homogenization with localization. Journal of Mathematical Biology 67 (5), 2013, 1023-1065 mehr… BibTeX Volltext ( DOI )


  • Falkinger, Marita; Schell, Stefan; Müller, Johannes; Wilkens, Jan J.: Prioritized optimization in intensity modulated proton therapy. Zeitschrift für Medizinische Physik 22 (1), 2012, 21-28 mehr… BibTeX Volltext ( DOI )
  • Henkel, A.; Müller, J.; Pötzsche, C.: Modeling the spread of Phytophthora. Journal of Mathematical Biology 65 (6-7), 2012, 1359-1385 mehr… BibTeX Volltext ( DOI )
  • Hense, Burkhard A.; Müller, Johannes; Kuttler, Christina; Hartmann, Anton: Spatial Heterogeneity of Autoinducer Regulation Systems. Sensors 12 (4), 2012, 4156-4171 mehr… BibTeX Volltext ( DOI )
  • Meyer, Andrea; Megerle, Judith A; Kuttler, Christina; Müller, Johannes; Aguilar, Claudio; Eberl, Leo; Hense, Burkhard A; Rädler, Joachim O: Dynamics of AHL mediated quorum sensing under flow and non-flow conditions. Physical Biology 9 (2), 2012, 026007 mehr… BibTeX Volltext ( DOI )


  • Stavropoulou, Faidra; Müller, Johannes: A polynomial chaos based Bayesian approach for on-line parameter estimation and control. 2011 IEEE International Symposium on Computer-Aided Control System Design (CACSD), Institute of Electrical and Electronics Engineers, 2011, 1391-1396 mehr… BibTeX Volltext ( DOI )


  • Falkinger, M.; Schell, S.; Müller, J.; Wilkens, J. J.: Sequentielle Optimierung für die intensitätsmodulierte Protonentherapie. Medizinische Physik 2010, 2010DGMP-Tagungsband, 78-81 mehr… BibTeX
  • Fekete, Agnes; Kuttler, Christina; Rothballer, Michael; Hense, Burkhard A.; Fischer, Doreen; Buddrus-Schiemann, Katharina; Lucio, Marianna; Müller, Johannes; Schmitt-Kopplin, Philippe; Hartmann, Anton: Dynamic regulation of N -acyl-homoserine lactone production and degradation in Pseudomonas putida IsoF de Dynamic regulation of N-acyl-homoserine lactone production and degradation in Pseudomonas putida IsoF. FEMS Microbiology Ecology 72 (1), 2010, 22-34 mehr… BibTeX Volltext ( DOI )
  • Frederick, M.; Kuttler, C.; Hense, B.A. ; Müller, J.; Eberl, H.J.: A mathematical model of quorum sensing in patchy biofilm communities with slow background flow. Canadian Applied Mathematics Quarterly 18 (3), 2010, 267-298 mehr… BibTeX


  • Efendiev, Messoud; Müller, Johannes: Classification of Existence and Non-Existence of Running Fronts in Case of Fast Diffusion. Journal of Advanced Mathematics and Applications 19, 2009, 285-293 mehr… BibTeX
  • Müller, Johannes; Spandl, Christoph: A Curtis–Hedlund–Lyndon theorem for Besicovitch and Weyl spaces. Theoretical Computer Science 410 (38-40), 2009, 3606-3615 mehr… BibTeX Volltext ( DOI )
  • Müller, Johannes; Spandl, Christoph: Embeddings of dynamical systems into cellular automata. Ergodic Theory and Dynamical Systems 29 (1), 2009, 165-177 mehr… BibTeX Volltext ( DOI )
  • Zeiser, Stefan; Franz, Uwe; Müller, Johannes ; Liebscher, Volkmar: Hybrid Modeling of Noise Reduction by a Negatively Autoregulated System. Bulletin of Mathematical Biology 71 (4), 2009, 1006-1024 mehr… BibTeX Volltext ( DOI )


  • Hense, B. A.; Kuttler, C.; Müller, J.; Rothballer, M.; Hartmann, A.; Kreft, J. U.: Efficiency sensing - was messen Autoinduktoren wirklich? BIOspektrum 1, 2008, 18-21 mehr… BibTeX
  • Müller, Johannes; Brandt, Stefan; Mayerhofer, Katrin; Tjardes, Thorsten; Maegele, Marc: Tolerance and threshold in the extrinsic coagulation system. Mathematical Biosciences 211 (2), 2008, 226-254 mehr… BibTeX Volltext ( DOI )
  • Müller, Johannes; Kuttler, Christina; Hense, Burkhard A.: Sensitivity of the quorum sensing system is achieved by low pass filtering. Biosystems 92 (1), 2008, 76-81 mehr… BibTeX Volltext ( DOI )
  • Müller, Johannes; Kuttler, Christina; Hense, Burkhard A.; Zeiser, Stefan; Liebscher, Volkmar: Transcription, intercellular variability and correlated random walk. Mathematical Biosciences 216 (1), 2008, 30-39 mehr… BibTeX Volltext ( DOI )
  • Stolte, Thomas; Hösel, Volker; Müller, Johannes; Speicher, Michael: Modeling Clonal Expansion from M-FISH Experiments. Journal of Computational Biology 15 (2), 2008, 221-230 mehr… BibTeX Volltext ( DOI )


  • Hadeler, K.P.; Müller, J.: Optimal harvesting and optimal vaccination. Mathematical Biosciences 206 (2), 2007, 249-272 mehr… BibTeX Volltext ( DOI )
  • Hense, B. A.; Kuttler, C.; Müller, J.; Rothballer, M.; Hartmann, A.; Kreft, J. U.: Does efficiency sensing unify diffusion and quorum sensing? Nature Reviews Microbiology 5 (3), 2007, 230-239 mehr… BibTeX
  • Müller, Johannes; Hösel, Volker: Estimating the Tracing Probability from Contact History at the Onset of an Epidemic. Mathematical Population Studies 14, 2007, 211-236 mehr… BibTeX Volltext ( DOI )
  • Zeiser, Stefan; Müller, Johannes; Liebscher, Volkmar: Modeling the Hes1 Oscillator. Journal of Computational Biology 14 (7), 2007, 984-1000 mehr… BibTeX Volltext ( DOI )


  • Müller, J.; Kuttler, C.; Hense, B. A.; Rothballer, M.; Hartmann, A.: Cell-cell communication by quorum sensing and dimension-reduction. Journal of Mathematical Biology 53 (4), 2006, 672-702 mehr… BibTeX Volltext ( DOI )


  • Müller, J.; Hadeler, K.P.; Müller, V.; Waldmann, J.; Landstorfer, F.M.; Wisniewski, R.; Kantz, J.; Lang, F.: Influence of low power cm-/mm-microwaves on cardiovascular function. International Journal of Environmental Health Research 14 (5), 2004, 331-341 mehr… BibTeX
  • Müller, Johannes: Contact tracing and stochastic trees. Oberwolfach Reports, 2004 mehr… BibTeX
  • Müller, Johannes: Kompartementmodelle im PET. In: Winkler, G. (Hrsg.): Beiträge zur biomedizinischen Bildgebung mit einem Seitenblick auf Molecular Imaging. GSF-Forschungszentrum, 2004, 209-256 mehr… BibTeX


  • Kanz, J.; Waldmann, J.; Landstorfer, F. M.; Lang, F.; Müller, J., Hadeler, K. P.: Einfluß von hohen GHz-Signalen auf das vegetative Nervensystem. Forschungsgemeinschaft Funk e. V. , 2003, mehr… BibTeX
  • Mertz, A.; Guttenberger, M.; Müller, J.; Schönfisch, B.; Hampp, R.: Isozyme Variability in Brazilian Populations of Araucaria angustifolia. Biociencias 11 (1), 2003, 3-8 mehr… BibTeX
  • Müller, Johannes; Möhle, Martin: Family trees of continuous-time birth-and-death processes. Journal of Applied Probability 40 (4), 2003, 980-994 mehr… BibTeX Volltext ( DOI )
  • Müller, Johannes; Tjardes, Thorsten: Modeling the Cytokine Network In Vitro and In Vivo. Journal of Theoretical Medicine 5 (2), 2003, 93-110 mehr… BibTeX Volltext ( DOI )


  • Schneider, G.; Müller, J.: Bifurcation analysis for a spatially extended random walk system in mathematical biology. Communications in Applied Analysis 5, 2001, 247-264 mehr… BibTeX
  • Toes, R.E.; Nussbaum, A.K.; Degermann, S.; Schirle, M.; Emmerich, N.P.; Kraft, M.; Laplace, C.; Zwinderman, A.; Dick, T.P.; Müller, J.; Schönfisch, B.; Schmid, C.; Fehling, H.J.; Stevanovic, S.; Rammensee, H.G.; Schild, H.: Discrete cleavage motifs of constitutive and immunoproteasomes revealed by quantitative analysis of cleavage products. Journal of Experimental Medicine 194 (1), 2001, 1-12 mehr… BibTeX


  • Müller, J. ; Hadeler, K. P.: Monotonicity of the Number of Passages in Linear Chains and of the Basic Reproduction Number in Epidemic Models. Zeitschrift für Analysis und ihre Anwendungen 19 (1), 2000, 61-75 mehr… BibTeX
  • Müller, J., Kretzschmar, M., Dietz, K.: Contact tracing in stochastic and deterministic epidemic models. Mathematical Biosciences 164 (1), 2000, 39-64 mehr… BibTeX Volltext ( DOI )
  • Müller, Johannes: The Mathematics of Infection. Habilitation theses, Tübingen, 2000 mehr… BibTeX
  • Müller, Johannes: Optimal vaccination patterns in age-structured populations: Endemic case. Mathematical and Computer Modelling 31 (4-5), 2000, 149-160 mehr… BibTeX Volltext ( DOI )
  • Müller, Johannes; Schönfisch, Birgitt; Kirkilionis, Markus: Ring vaccination. Journal of Mathematical Biology 41 (2), 2000, 143-171 mehr… BibTeX Volltext ( DOI )


  • Hadeler, K. P.; Müller, J.: Dynamical Systems of Population Dynamics. In: Fielder, Bernold (Hrsg.): Ergodic Theory, Analysis and Efficient Simulation of Dynamical Systems. Springer, 1999, 311-332 mehr… BibTeX
  • Müller, Johannes: Scaling Methods and Approximative Equations for Homogeneous Reaction—Diffusion Systems and Applications to Epidemics. Journal of Nonlinear Science 9 (2), 1999, 149-168 mehr… BibTeX Volltext ( DOI )
  • Müller, Johannes: Optimal vaccination patterns in age-structured populations. SIAM Journal on Applied Mathematics 59 (1), 1999, 222-241 mehr… BibTeX


  • Müller, Johannes; Hillen, Thomas: Modulation equations and parabolic limits of reaction random-walk systems. Mathematical Methods in the Applied Sciences 21 (13), 1998, 1207-1226 mehr… BibTeX Volltext ( DOI )



  • Müller, Johannes: Optimal vaccination patterns in age structured populations. Dissertation, Fakultät für Mathematik, Tübingen, 1994 mehr… BibTeX


  • Hadeler, K. P.; Müller, J.: Vaccination in age-structured populations I: The reproduction number. In: Isham, Valerie; Medley, Graham (Hrsg.): Models for Infectious Human Diseases: Thieir Structure and Relation to Data. Cambridge University Press, 1993, 90-101 mehr… BibTeX
  • Hadeler, K. P.; Müller, J.: Vaccination in age-structured populations II: Optimal vaccination strategies. In: Isham, Valerie; Medley, Graham (Hrsg.): Models for Infectious Human Diseases: Thieir Structure and Relation to Data. Cambridge University Press, 1993, 102-114 mehr… BibTeX
  • Hadeler, K. P.; Müller, J.: The effects of vaccination on sexually transmitted disease in heterosexual populations. Mathematical Population Dynamics: Proceedings of the third International Conference, Wuerz Puiblishing Ltd., 1993, 251-278 mehr… BibTeX


A list of previous courses can be found on TUMonline.