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## Dietz, Klaus

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 Author ID: dietz.klaus Published as: Dietz, Klaus; Dietz, K. External Links: MGP · ORCID · Wikidata · GND · IdRef
 Documents Indexed: 67 Publications since 1960
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#### Co-Authors

 23 single-authored 6 Hadeler, Karl-Peter 4 Becker, Niels G. 4 Heesterbeek, J. A. P. 4 Schenzle, Dieter 3 Eichner, Martin 3 Safan, Muntaser 2 Born, Eike 2 Diekmann, Odo 2 Greenhalgh, David 2 Heesterbeek, Hans 2 Stilianakis, Nikolaos I. 2 Tudor, David W. 1 Bahrampour, Abbas 1 Breuer, Heinz-Peter 1 Downton, F. 1 Dürr, Hans-Peter 1 Grenfell, Bryan T. 1 Hillen, Thomas 1 Höhler, Gerhard 1 Holthaus, Martin 1 Ihm, Peter 1 Katzmann, Werner 1 Keiding, Niels 1 Läuter, Jürgen 1 Mode, Charles J. 1 Müller, Johannes 1 Nishiura, Hiroshi 1 Parthasarathy, Panamalai Ramarao 1 Pilkuhn, H. 1 Renner, H. 1 Roberts, Michael George 1 Römer, Hartmann 1 Sattenspiel, Lisa 1 Thieme, Horst R. 1 Ulrich, Rolf 1 Zehnder, Stefan
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#### Serials

 14 Mathematical Biosciences 7 Journal of Mathematical Biology 5 Journal of Physics A: Mathematical and General 3 Theoretical Population Biology 2 Biometrical Journal 2 Journal of Applied Probability 2 Il Nuovo Cimento, X. Series 1 Computers & Mathematics with Applications 1 Letters in Mathematical Physics 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Mathematical Psychology 1 Statistica Neerlandica 1 Physica D 1 Probability Theory and Related Fields 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 Stochastic Processes and their Applications 1 Open Systems & Information Dynamics 1 Mathematical Biosciences and Engineering 1 Oberwolfach Reports 1 Zeitschrift für Physik 1 Journal of Physics A: Mathematical and Theoretical 1 Journal of Theoretical Biology
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#### Fields

 51 Biology and other natural sciences (92-XX) 9 Probability theory and stochastic processes (60-XX) 7 Quantum theory (81-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 History and biography (01-XX) 4 Numerical analysis (65-XX) 3 Ordinary differential equations (34-XX) 3 Partial differential equations (35-XX) 3 Statistics (62-XX) 3 Systems theory; control (93-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Operator theory (47-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Mechanics of particles and systems (70-XX)

#### Citations contained in zbMATH Open

48 Publications have been cited 764 times in 583 Documents Cited by Year
Epidemiological models for sexually transmitted diseases. Zbl 0643.92015
1988
The incidence of infectious diseases under the influence of seasonal fluctuations. Zbl 0333.92014
Dietz, K.
1976
Transmission and control of arbovirus diseases. Zbl 0322.92023
Dietz, K.
1975
A structured epidemic model incorporating geographic mobility among regions. Zbl 0833.92020
Sattenspiel, Lisa; Dietz, Klaus
1995
The concept of $$R_ 0$$ in epidemic theory. Zbl 0854.92018
Heesterbeek, J. A. P.; Dietz, K.
1996
The effect of household distribution on transmission and control of highly infectious diseases. Zbl 0824.92025
Becker, Niels G.; Dietz, Klaus
1995
Proportionate mixing models for age-dependent infection transmission. Zbl 0558.92014
Dietz, Klaus; Schenzle, Dieter
1985
Mathematical models for infectious disease statistics. Zbl 0586.92017
Dietz, K.; Schenzle, D.
1985
Nonlinear hyperbolic partial differential equations for the dynamics of parasite populations. Zbl 0518.92021
1983
On the transmission dynamics of HIV. Zbl 0651.92019
Dietz, Klaus
1988
Daniel Bernoulli’s epidemiological model revisited. Zbl 1019.92028
Dietz, Klaus; Heesterbeek, J. A. P.
2002
Epidemiologic interference of virus populations. Zbl 0412.92024
Dietz, K.
1979
The evaluation of rubella vaccination strategies. Zbl 0502.92022
Dietz, K.
1981
The basic reproduction ratio for sexually transmitted diseases. I: Theoretical considerations. Zbl 0748.92010
Diekmann, O.; Dietz, K.; Heesterbeek, J. A. P.
1991
Contact tracing in stochastic and deterministic epidemic models. Zbl 0965.92027
Müller, Johannes; Kretzschmar, Mirjam; Dietz, Klaus
2000
Population dynamics of killing parasites which reproduce in the host. Zbl 0554.92015
1984
Analysis of a model for the pathogenesis of AIDS. Zbl 0896.92016
Stilianakis, Nikolaos I.; Dietz, Klaus; Schenzle, Dieter
1997
Evaluation of age-specific vaccination strategies. Zbl 0544.92023
Katzmann, Werner; Dietz, Klaus
1984
The minimum effort required to eradicate infections in models with backward bifurcation. Zbl 1113.92059
Safan, Muntaser; Heesterbeek, Hans; Dietz, Klaus
2006
The effect of pair formation and variable infectivity on the spread of an infection without recovery. Zbl 1002.92557
Kretzschmar, Mirjam; Dietz, Klaus
1998
The effect of immigration on genetic control. Zbl 0335.92015
Dietz, Klaus
1976
The basic reproduction ratio for sexually transmitted diseases. II: Effects of variable HIV infectivity. Zbl 0805.92024
Dietz, K.; Heesterbeek, J. A. P.; Tudor, D. W.
1993
Models for vector-borne parasitic diseases. Zbl 0441.92020
Dietz, K.
1980
Reproduction numbers and critical immunity levels for epidemics in a community of households. Zbl 0854.92016
Becker, Niels G.; Dietz, Klaus
1996
Some bounds on estimates for reproductive ratios derived from the age- specific force of infection. Zbl 0806.92019
Greenhalgh, David; Dietz, Klaus
1994
An integral equation for helminthic infections: Global existence of solutions. Zbl 0506.92021
1983
Modelling the immuno-epidemiology of macroparasites in naturally fluctuating host populations. Zbl 0843.92021
Grenfell, B. T.; Dietz, K.; Roberts, M. G.
1995
On the model of Weiss for the spread of epidemics by carriers. Zbl 0199.23803
Dietz, Klaus
1966
Threshold parameters for epidemics in different community settings. Zbl 0828.92027
Becker, Niels G.; Bahrampour, Abbas; Dietz, Klaus
1995
On the eradicability of infections with partially protective vaccination in models with backward bifurcation. Zbl 1176.92044
Safan, Muntaser; Dietz, Klaus
2009
Case fatality models for epidemics in growing populations. Zbl 1348.92152
Hadeler, Karl Peter; Dietz, Klaus; Safan, Muntaser
2016
Decoherence by Lindblad motion. Zbl 1100.82015
Dietz, Klaus
2004
Some problems in the theory of infectious disease transmission and control. Zbl 0850.92045
Dietz, Klaus
1995
Generalized Bloch spheres for $$m$$-qubit states. Zbl 1088.81031
Dietz, Klaus
2006
The first epidemic model: A historical note on P. D. En’ko. Zbl 0652.92012
Dietz, K.
1988
Epidemiological models for sexually transmitted infections. Zbl 0669.92013
Dietz, K.
1987
Parasite population dynamics within a dynamic host population. Zbl 0708.92020
Born, E.; Dietz, K.
1989
Models for parasitic disease control. Zbl 0352.92010
Dietz, Klaus
1975
On the antigenic diversity threshold model for AIDS. Zbl 0802.92010
Stilianakis, Nikolaos I.; Schenzle, Dieter; Dietz, Klaus
1994
Stochastic models for the eradication of poliomyelitis: Minimum population size for polio virus persistence. Zbl 1076.92500
Eichner, M.; Hadeler, K. P.; Dietz, K.
1996
Epidemics: the fitting of the first dynamic models to data. Zbl 1302.92127
Dietz, Klaus
2009
A simulation model for the control of Helminth diseases by chemotherapy. Zbl 0569.92022
Dietz, K.; Renner, H.
1985
Carrier-borne epidemics with immigration. I: Immigration of both susceptibles and carriers. Zbl 0266.60063
Dietz, K.; Downton, F.
1968
A pairing process. Zbl 0308.92018
Dietz, Klaus
1975
An age-structured model for measles vaccination. Zbl 0856.92012
Eichner, Martin; Zehnder, Stefan; Dietz, Klaus
1996
The effect of different mixing patterns on vaccination programs. Zbl 1076.92509
Greenhalgh, David; Dietz, Klaus
1996
Asymptotic solutions of Lindblad equations. Zbl 1049.81041
Dietz, Klaus
2002
On the classical dynamics of strongly driven anharmonic oscillators. Zbl 0725.58016
Breuer, H. P.; Dietz, K.; Holthaus, M.
1990
Case fatality models for epidemics in growing populations. Zbl 1348.92152
Hadeler, Karl Peter; Dietz, Klaus; Safan, Muntaser
2016
On the eradicability of infections with partially protective vaccination in models with backward bifurcation. Zbl 1176.92044
Safan, Muntaser; Dietz, Klaus
2009
Epidemics: the fitting of the first dynamic models to data. Zbl 1302.92127
Dietz, Klaus
2009
The minimum effort required to eradicate infections in models with backward bifurcation. Zbl 1113.92059
Safan, Muntaser; Heesterbeek, Hans; Dietz, Klaus
2006
Generalized Bloch spheres for $$m$$-qubit states. Zbl 1088.81031
Dietz, Klaus
2006
Decoherence by Lindblad motion. Zbl 1100.82015
Dietz, Klaus
2004
Daniel Bernoulli’s epidemiological model revisited. Zbl 1019.92028
Dietz, Klaus; Heesterbeek, J. A. P.
2002
Asymptotic solutions of Lindblad equations. Zbl 1049.81041
Dietz, Klaus
2002
Contact tracing in stochastic and deterministic epidemic models. Zbl 0965.92027
Müller, Johannes; Kretzschmar, Mirjam; Dietz, Klaus
2000
The effect of pair formation and variable infectivity on the spread of an infection without recovery. Zbl 1002.92557
Kretzschmar, Mirjam; Dietz, Klaus
1998
Analysis of a model for the pathogenesis of AIDS. Zbl 0896.92016
Stilianakis, Nikolaos I.; Dietz, Klaus; Schenzle, Dieter
1997
The concept of $$R_ 0$$ in epidemic theory. Zbl 0854.92018
Heesterbeek, J. A. P.; Dietz, K.
1996
Reproduction numbers and critical immunity levels for epidemics in a community of households. Zbl 0854.92016
Becker, Niels G.; Dietz, Klaus
1996
Stochastic models for the eradication of poliomyelitis: Minimum population size for polio virus persistence. Zbl 1076.92500
Eichner, M.; Hadeler, K. P.; Dietz, K.
1996
An age-structured model for measles vaccination. Zbl 0856.92012
Eichner, Martin; Zehnder, Stefan; Dietz, Klaus
1996
The effect of different mixing patterns on vaccination programs. Zbl 1076.92509
Greenhalgh, David; Dietz, Klaus
1996
A structured epidemic model incorporating geographic mobility among regions. Zbl 0833.92020
Sattenspiel, Lisa; Dietz, Klaus
1995
The effect of household distribution on transmission and control of highly infectious diseases. Zbl 0824.92025
Becker, Niels G.; Dietz, Klaus
1995
Modelling the immuno-epidemiology of macroparasites in naturally fluctuating host populations. Zbl 0843.92021
Grenfell, B. T.; Dietz, K.; Roberts, M. G.
1995
Threshold parameters for epidemics in different community settings. Zbl 0828.92027
Becker, Niels G.; Bahrampour, Abbas; Dietz, Klaus
1995
Some problems in the theory of infectious disease transmission and control. Zbl 0850.92045
Dietz, Klaus
1995
Some bounds on estimates for reproductive ratios derived from the age- specific force of infection. Zbl 0806.92019
Greenhalgh, David; Dietz, Klaus
1994
On the antigenic diversity threshold model for AIDS. Zbl 0802.92010
Stilianakis, Nikolaos I.; Schenzle, Dieter; Dietz, Klaus
1994
The basic reproduction ratio for sexually transmitted diseases. II: Effects of variable HIV infectivity. Zbl 0805.92024
Dietz, K.; Heesterbeek, J. A. P.; Tudor, D. W.
1993
The basic reproduction ratio for sexually transmitted diseases. I: Theoretical considerations. Zbl 0748.92010
Diekmann, O.; Dietz, K.; Heesterbeek, J. A. P.
1991
On the classical dynamics of strongly driven anharmonic oscillators. Zbl 0725.58016
Breuer, H. P.; Dietz, K.; Holthaus, M.
1990
Parasite population dynamics within a dynamic host population. Zbl 0708.92020
Born, E.; Dietz, K.
1989
Epidemiological models for sexually transmitted diseases. Zbl 0643.92015
1988
On the transmission dynamics of HIV. Zbl 0651.92019
Dietz, Klaus
1988
The first epidemic model: A historical note on P. D. En’ko. Zbl 0652.92012
Dietz, K.
1988
Epidemiological models for sexually transmitted infections. Zbl 0669.92013
Dietz, K.
1987
Proportionate mixing models for age-dependent infection transmission. Zbl 0558.92014
Dietz, Klaus; Schenzle, Dieter
1985
Mathematical models for infectious disease statistics. Zbl 0586.92017
Dietz, K.; Schenzle, D.
1985
A simulation model for the control of Helminth diseases by chemotherapy. Zbl 0569.92022
Dietz, K.; Renner, H.
1985
Population dynamics of killing parasites which reproduce in the host. Zbl 0554.92015
1984
Evaluation of age-specific vaccination strategies. Zbl 0544.92023
Katzmann, Werner; Dietz, Klaus
1984
Nonlinear hyperbolic partial differential equations for the dynamics of parasite populations. Zbl 0518.92021
1983
An integral equation for helminthic infections: Global existence of solutions. Zbl 0506.92021
1983
The evaluation of rubella vaccination strategies. Zbl 0502.92022
Dietz, K.
1981
Models for vector-borne parasitic diseases. Zbl 0441.92020
Dietz, K.
1980
Epidemiologic interference of virus populations. Zbl 0412.92024
Dietz, K.
1979
The incidence of infectious diseases under the influence of seasonal fluctuations. Zbl 0333.92014
Dietz, K.
1976
The effect of immigration on genetic control. Zbl 0335.92015
Dietz, Klaus
1976
Transmission and control of arbovirus diseases. Zbl 0322.92023
Dietz, K.
1975
Models for parasitic disease control. Zbl 0352.92010
Dietz, Klaus
1975
A pairing process. Zbl 0308.92018
Dietz, Klaus
1975
Carrier-borne epidemics with immigration. I: Immigration of both susceptibles and carriers. Zbl 0266.60063
Dietz, K.; Downton, F.
1968
On the model of Weiss for the spread of epidemics by carriers. Zbl 0199.23803
Dietz, Klaus
1966
all top 5

#### Cited by 872 Authors

 20 Ball, Frank G. 19 Dietz, Klaus 18 Castillo-Chavez, Carlos 16 Hadeler, Karl-Peter 12 Greenhalgh, David 11 Becker, Niels G. 11 Feng, Zhilan 11 Thieme, Horst R. 9 Hethcote, Herbert W. 8 Andreasen, Viggo 8 Macías-Díaz, Jorge Eduardo 8 O’Neill, Philip D. 8 van den Driessche, Pauline 7 Britton, Tom 7 Milner, Fabio Augusto 7 Safan, Muntaser 6 Diekmann, Odo 6 Esteva, Lourdes 6 Liu, Junli 6 Mode, Charles J. 6 Sallet, Gauthier 6 Webb, Glenn Francis 5 Anderson, Roy M. 5 Heesterbeek, J. A. P. 5 Levin, Simon Asher 5 Li, Jia 5 May, Robert McCredie 5 Müller, Johannes 5 Neal, Peter J. 5 Pugliese, Andrea 5 Puri, Ashok 5 Ruan, Shigui 5 Trapman, Pieter 5 Yang, Hyun Mo 5 Zhou, Yicang 4 Chowell, Gerardo 4 Ferguson, Neil M. 4 Gumel, Abba B. 4 Hyman, James M. 4 Inaba, Hisashi 4 Koopman, James S. 4 Kribs-Zaleta, Christopher M. 4 Lloyd, Alun L. 4 Magal, Pierre 4 Pellis, Lorenzo 4 Porco, Travis C. 4 Rohani, Pejman 4 Schwartz, Ira Bruce 3 Arino, Julien 3 Bacaër, Nicolas 3 Bichara, Derdei Mahamat 3 Busenberg, Stavros N. 3 Chattopadhyay, Joydev 3 d’Onofrio, Alberto 3 Glass, Kathryn 3 Halloran, M. Elizabeth 3 Hilker, Frank M. 3 Huang, Wenzhang 3 Jacquez, John A. 3 Jin, Zhen 3 Kault, David Abraham 3 Kepgnou, Brice Samegni 3 Knock, Edward S. 3 Kretzschmar, Mirjam E. E. 3 Lee, Jonggul 3 Lefèvre, Claude 3 Lyne, Owen D. 3 Ma, Junling 3 Manfredi, Piero 3 Martcheva, Maia 3 Pardoux, Etienne 3 Rouderfer, Vladimir 3 Sattenspiel, Lisa 3 Simon, Carl P. 3 Sleeman, Candace K. 3 Stone, Lewi 3 Struchiner, Cláudio José 3 Vargas, Cristobal 3 Vlad, Marcel Ovidiu 3 Wanduku, Divine 3 Wehner, Stephanie 3 Zhang, Tailei 2 Adams, Ben 2 Adler, Frederick R. 2 Allen, Linda J. S. 2 Altmann, Michael 2 Auger, Pierre M. 2 Bahrampour, Abbas 2 Bai, Zhenguo 2 Balcan, Duygu 2 Billard, Lynne 2 Blythe, Stephen P. 2 Born, Eike 2 Chick, Stephen E. 2 Clancy, Damian 2 Colizza, Vittoria 2 Cosner, Chris 2 Cruz-Pacheco, Gustavo 2 Deardon, Rob 2 Demiris, Nikolaos ...and 772 more Authors
all top 5

#### Cited in 116 Serials

 174 Mathematical Biosciences 56 Journal of Mathematical Biology 43 Journal of Theoretical Biology 31 Theoretical Population Biology 20 Bulletin of Mathematical Biology 19 Mathematical and Computer Modelling 16 Applied Mathematics and Computation 9 Mathematical Population Studies 9 Journal of Biological Dynamics 8 Journal of Mathematical Analysis and Applications 8 Mathematical Biosciences and Engineering 7 Advances in Applied Probability 7 Computational & Mathematical Methods in Medicine 6 Nonlinear Analysis. Real World Applications 6 Discrete and Continuous Dynamical Systems. Series B 5 Computers & Mathematics with Applications 5 Mathematical Methods in the Applied Sciences 5 Chaos, Solitons and Fractals 5 Journal of Applied Probability 5 Journal of Computational and Applied Mathematics 5 Applied Mathematical Modelling 4 International Journal of Biomathematics 3 Journal of Mathematical Physics 3 Ricerche di Matematica 3 SIAM Journal on Applied Mathematics 3 Discrete Dynamics in Nature and Society 3 Advances in Difference Equations 3 Mathematical Modelling of Natural Phenomena 2 International Journal of Systems Science 2 Physics Reports 2 Rocky Mountain Journal of Mathematics 2 Scandinavian Journal of Statistics 2 Biometrical Journal 2 Blätter (Deutsche Gesellschaft für Versicherungsmathematik) 2 Mathematics and Computers in Simulation 2 Stochastic Analysis and Applications 2 Acta Applicandae Mathematicae 2 Physica D 2 Applied Numerical Mathematics 2 Acta Mathematicae Applicatae Sinica. English Series 2 Annals of Operations Research 2 International Journal of Computer Mathematics 2 Journal of Difference Equations and Applications 2 Open Systems & Information Dynamics 2 Statistical Methods in Medical Research 2 Journal of Statistical Mechanics: Theory and Experiment 1 Applicable Analysis 1 The Canadian Journal of Statistics 1 International Journal of Control 1 International Journal of Theoretical Physics 1 Inverse Problems 1 Journal of the Franklin Institute 1 Physica A 1 Theoretical and Mathematical Physics 1 The Annals of Probability 1 Automatica 1 Biometrics 1 Journal of Differential Equations 1 Journal of Mathematical Economics 1 Journal of Mathematical Psychology 1 Mathematische Zeitschrift 1 Memoirs of the American Mathematical Society 1 Statistica Neerlandica 1 Zeitschrift für Analysis und ihre Anwendungen 1 Statistics & Probability Letters 1 Probability Theory and Related Fields 1 Computers & Operations Research 1 Numerical Methods for Partial Differential Equations 1 Applied Mathematics Letters 1 Journal of Integral Equations and Applications 1 The Annals of Applied Probability 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 Communications in Statistics. Theory and Methods 1 European Journal of Operational Research 1 Proceedings of the National Academy of Sciences of the United States of America 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Stochastic Processes and their Applications 1 Bulletin of the American Mathematical Society. New Series 1 Computational Statistics and Data Analysis 1 Journal of Dynamics and Differential Equations 1 Journal of Nonlinear Science 1 Journal of Mathematical Sciences (New York) 1 Computational and Applied Mathematics 1 Lifetime Data Analysis 1 Bernoulli 1 Mathematical Problems in Engineering 1 European Mathematical Society Newsletter 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 Australian & New Zealand Journal of Statistics 1 Journal of the Royal Statistical Society. Series B. Statistical Methodology 1 New Journal of Physics 1 Natural Resource Modeling 1 Communications in Nonlinear Science and Numerical Simulation 1 International Journal of Applied Mathematics and Computer Science 1 CEJOR. Central European Journal of Operations Research 1 Journal of Biological Systems 1 Probability in the Engineering and Informational Sciences 1 Methodology and Computing in Applied Probability 1 Biostatistics ...and 16 more Serials
all top 5

#### Cited in 30 Fields

 548 Biology and other natural sciences (92-XX) 132 Ordinary differential equations (34-XX) 98 Probability theory and stochastic processes (60-XX) 65 Partial differential equations (35-XX) 48 Dynamical systems and ergodic theory (37-XX) 45 Numerical analysis (65-XX) 34 Statistics (62-XX) 30 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 30 Systems theory; control (93-XX) 19 Integral equations (45-XX) 18 Calculus of variations and optimal control; optimization (49-XX) 11 Combinatorics (05-XX) 10 Operations research, mathematical programming (90-XX) 9 Operator theory (47-XX) 8 Quantum theory (81-XX) 6 Difference and functional equations (39-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 History and biography (01-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 4 Computer science (68-XX) 3 Functional analysis (46-XX) 2 General and overarching topics; collections (00-XX) 2 Real functions (26-XX) 2 Optics, electromagnetic theory (78-XX) 2 Information and communication theory, circuits (94-XX) 1 Number theory (11-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of deformable solids (74-XX) 1 Relativity and gravitational theory (83-XX)

#### Wikidata Timeline

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