## Simon, Carl P.

Compute Distance To:
 Author ID: simon.carl-p Published as: Simon, Carl P.; Simon, Carl; Simon, C. Homepage: http://fordschool.umich.edu/faculty/carl-simon External Links: MGP · ResearchGate
 Documents Indexed: 39 Publications since 1971 Co-Authors: 21 Co-Authors with 26 Joint Publications 221 Co-Co-Authors
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### Co-Authors

 10 single-authored 9 Jacquez, John A. 7 Koopman, James S. 5 Titus, Charles J. 2 Jacquez, Geoffrey M. 2 Saari, Donald Gene 2 Sattenspiel, Lisa 1 Artzner, Philippe 1 Belyakov, Anton O. 1 Bergstrom, Theodore C. 1 Biesele, John 1 Chick, Stephen E. 1 Feichtinger, Gustav 1 Foxman, Betsy 1 Ghobadi, R. 1 Heshami, Kh 1 Kaviani, H. 1 Khazali, Mehrdad 1 Percha, Bethany 1 Perry, Timothy 1 Phair, Robert D. 1 Reiter, Stanley 1 Riolo, Christopher S. 1 Riolo, Rick 1 Saigal, Romesh 1 Sokolov, Igor’ Mikhaĭlovich 1 Sonnenschein, Hugo F. 1 Warren, C. P. 1 Zahedinejad, E.
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### Serials

 7 Mathematical Biosciences 3 Journal of Mathematical Economics 2 Inventiones Mathematicae 1 Econometrica 1 Journal of Economic Theory 1 Mathematical Programming 1 Proceedings of the American Mathematical Society 1 Theoretical Population Biology 1 Transactions of the American Mathematical Society 1 IMA Journal of Mathematics Applied in Medicine and Biology 1 Economics Letters 1 SIAM Journal on Applied Mathematics 1 SIAM Review 1 New Journal of Physics 1 Bulletin of the American Mathematical Society 1 Journal of Theoretical Biology
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### Fields

 16 Biology and other natural sciences (92-XX) 10 Dynamical systems and ergodic theory (37-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Ordinary differential equations (34-XX) 6 Algebraic topology (55-XX) 6 Manifolds and cell complexes (57-XX) 6 Systems theory; control (93-XX) 4 Operations research, mathematical programming (90-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 General topology (54-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functional analysis (46-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX)

### Citations contained in zbMATH Open

25 Publications have been cited 472 times in 413 Documents Cited by Year
Modeling and analyzing HIV transmission: The effect of contact patterns. Zbl 0686.92016
Jacquez, John A.; Simon, Carl P.; Koopman, James; Sattenspiel, Lisa; Perry, Timothy
1988
Qualitative theory of compartmental systems. Zbl 0776.92001
Jacquez, John A.; Simon, Carl P.
1993
Reproduction numbers and the stability of equilibria of SI models for heterogeneous populations. Zbl 0765.92019
Simon, Carl P.; Jacquez, John A.
1992
Effective price mechanisms. Zbl 0397.90018
Saari, Donald G.; Simon, Carl P.
1978
The stochastic SI model with recruitment and deaths. I: Comparison with the closed SIS model. Zbl 0785.92025
Jacquez, John A.; Simon, Carl P.
1993
The spread and persistence of infectious diseases in structured populations. Zbl 0659.92013
Sattenspiel, Lisa; Simon, Carl P.
1988
Percolation on heterogeneous networks as a model for epidemics. Zbl 1015.92035
Sander, L. M.; Warren, C. P.; Sokolov, I. M.; Simon, C.; Koopman, J.
2002
A bound for the fixed-point index of an area-preserving map with applications to mechanics. Zbl 0331.55006
Simon, Carl P.
1974
Qualitative theory of compartmental systems with lags. Zbl 1033.92002
Jacquez, John A.; Simon, Carl P.
2002
Core groups and the $$R_ 0s$$ for subgroups in heterogeneous SIS and SI models. Zbl 0839.92021
Jacquez, John; Simon, Carl; Koopman, James
1995
Generic properties of the complementarity problem. Zbl 0279.90036
Saigal, Romesh; Simon, Carl
1973
A 3-dimensional Abraham-Smale example. Zbl 0259.58006
Simon, Carl P.
1972
Characterization of optima in smooth Pareto economic systems. Zbl 0348.90020
Simon, Carl P.; Titus, Charles
1975
Stochastic effects on endemic infection levels of disseminating versus local contacts. Zbl 1021.92035
Koopman, James S.; Chick, Stephen E.; Simon, Carl P.; Riolo, Christopher S.; Jacquez, Geoffrey
2002
Singularity theory of utility mappings - I: Degenerate maxima and Pareto optima. Zbl 0394.90005
Saari, Donald G.; Simon, Carl P.
1977
On a classification of a Baire set of diffeomorphisms. Zbl 0227.58005
Simon, Carl P.
1971
Some fine-tuning for dominant diagonal matrices. Zbl 1328.15006
Simon, Carl P.
1989
Addendum to: A bound for the fixed-point index of an area-preserving map with applications to mechanics. Zbl 0336.55008
Simon, Carl P.
1976
Counting Groves-Ledyard equilibria via degree theory. Zbl 0536.90018
Bergstrom, Theodore; Simon, Carl P.; Titus, Charles J.
1983
Understanding compartmental systems with lags. Zbl 0929.93003
Jacquez, John A.; Simon, Carl P.
1996
A Liapunov function approach to computing $$R_ 0$$. Zbl 0851.92018
Simon, Carl P.; Jacquez, John A.; Koopman, James S.
1996
Instability in Diff$$^r$$(T$$^3$$) and the nongenericity of rational zeta functions. Zbl 0273.58007
Simon, Carl P.
1973
AIDS: The epidemiological significance of two different mean rates of partner change. Zbl 0704.92018
Jacquez, John A.; Simon, Carl P.
1990
Decentralized dynamic processes for finding equilibrium. Zbl 0751.90027
Reiter, Stanley; Simon, Carl P.
1992
Minimizing the dependency ratio in a population with below-replacement fertility through immigration. Zbl 1338.91113
Simon, C.; Belyakov, A. O.; Feichtinger, G.
2012
Minimizing the dependency ratio in a population with below-replacement fertility through immigration. Zbl 1338.91113
Simon, C.; Belyakov, A. O.; Feichtinger, G.
2012
Percolation on heterogeneous networks as a model for epidemics. Zbl 1015.92035
Sander, L. M.; Warren, C. P.; Sokolov, I. M.; Simon, C.; Koopman, J.
2002
Qualitative theory of compartmental systems with lags. Zbl 1033.92002
Jacquez, John A.; Simon, Carl P.
2002
Stochastic effects on endemic infection levels of disseminating versus local contacts. Zbl 1021.92035
Koopman, James S.; Chick, Stephen E.; Simon, Carl P.; Riolo, Christopher S.; Jacquez, Geoffrey
2002
Understanding compartmental systems with lags. Zbl 0929.93003
Jacquez, John A.; Simon, Carl P.
1996
A Liapunov function approach to computing $$R_ 0$$. Zbl 0851.92018
Simon, Carl P.; Jacquez, John A.; Koopman, James S.
1996
Core groups and the $$R_ 0s$$ for subgroups in heterogeneous SIS and SI models. Zbl 0839.92021
Jacquez, John; Simon, Carl; Koopman, James
1995
Qualitative theory of compartmental systems. Zbl 0776.92001
Jacquez, John A.; Simon, Carl P.
1993
The stochastic SI model with recruitment and deaths. I: Comparison with the closed SIS model. Zbl 0785.92025
Jacquez, John A.; Simon, Carl P.
1993
Reproduction numbers and the stability of equilibria of SI models for heterogeneous populations. Zbl 0765.92019
Simon, Carl P.; Jacquez, John A.
1992
Decentralized dynamic processes for finding equilibrium. Zbl 0751.90027
Reiter, Stanley; Simon, Carl P.
1992
AIDS: The epidemiological significance of two different mean rates of partner change. Zbl 0704.92018
Jacquez, John A.; Simon, Carl P.
1990
Some fine-tuning for dominant diagonal matrices. Zbl 1328.15006
Simon, Carl P.
1989
Modeling and analyzing HIV transmission: The effect of contact patterns. Zbl 0686.92016
Jacquez, John A.; Simon, Carl P.; Koopman, James; Sattenspiel, Lisa; Perry, Timothy
1988
The spread and persistence of infectious diseases in structured populations. Zbl 0659.92013
Sattenspiel, Lisa; Simon, Carl P.
1988
Counting Groves-Ledyard equilibria via degree theory. Zbl 0536.90018
Bergstrom, Theodore; Simon, Carl P.; Titus, Charles J.
1983
Effective price mechanisms. Zbl 0397.90018
Saari, Donald G.; Simon, Carl P.
1978
Singularity theory of utility mappings - I: Degenerate maxima and Pareto optima. Zbl 0394.90005
Saari, Donald G.; Simon, Carl P.
1977
Addendum to: A bound for the fixed-point index of an area-preserving map with applications to mechanics. Zbl 0336.55008
Simon, Carl P.
1976
Characterization of optima in smooth Pareto economic systems. Zbl 0348.90020
Simon, Carl P.; Titus, Charles
1975
A bound for the fixed-point index of an area-preserving map with applications to mechanics. Zbl 0331.55006
Simon, Carl P.
1974
Generic properties of the complementarity problem. Zbl 0279.90036
Saigal, Romesh; Simon, Carl
1973
Instability in Diff$$^r$$(T$$^3$$) and the nongenericity of rational zeta functions. Zbl 0273.58007
Simon, Carl P.
1973
A 3-dimensional Abraham-Smale example. Zbl 0259.58006
Simon, Carl P.
1972
On a classification of a Baire set of diffeomorphisms. Zbl 0227.58005
Simon, Carl P.
1971
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### Cited by 675 Authors

 11 Feng, Zhilan 11 Haddad, Wassim Michael 9 Bowong, Samuel 9 Castillo-Chavez, Carlos 9 Sallet, Gauthier 8 Simon, Carl P. 8 van den Driessche, Pauline 7 Chellaboina, Vijaysekhar 7 Glasser, John W. 7 Li, Jia 6 Hui, Qing 6 Hyman, James M. 6 Jacquez, John A. 6 Lin, Xiaodong 6 Tewa, Jean-Jules 5 Kurths, Jürgen 5 Li, Michael Yi 5 Tan, Wai-Yuan 4 Bichara, Derdei Mahamat 4 Gumel, Abba B. 4 Hayakawa, Tomohisa 4 Hethcote, Herbert W. 4 Hill, Andrew N. 4 Iggidr, Abderrahman 4 Kamgang, Jean-Claude 4 Kault, David Abraham 4 Koopman, James S. 4 Mushayabasa, Steady 4 Saari, Donald Gene 3 Asamoah, Joshua Kiddy K. 3 Bhunu, Claver Pedzisai 3 Bonatti, Christian 3 Dumont, Yves 3 Elbasha, Elamin H. 3 Gouzé, Jean-Luc 3 Greenhalgh, David 3 Gyori, Istvan 3 Heesterbeek, J. A. P. 3 Herings, P. Jean-Jacques 3 Jin, Zhen 3 Jordan, James S. 3 Lam, James 3 Le Calvez, Patrice 3 Mukandavire, Zindoga 3 Reiter, Stanley 3 Stanley, E. Ann 3 Watmough, James 3 Yorke, James Alan 2 Anguelov, Roumen 2 Arino, Julien 2 Bailey, James M. 2 Bassanezi, Rodney Carlos 2 Bernard, Olivier 2 Bernoux, Martial 2 Blanchini, Franco 2 Blythe, Stephen P. 2 Chen, Frederick H. 2 Chick, Stephen E. 2 Coogan, Samuel 2 Dietz, Klaus 2 Dushoff, Jonathan 2 Fall, A. A. 2 Fierro, Raúl 2 Floer, Andreas 2 Ginzburg, Viktor L’vovich 2 Giordano, Giulia 2 Guo, Hongbin 2 Hammoudi, Alaaeddine 2 Hartung, Ferenc 2 Hastings, Alan 2 Hayat, Tasawar 2 Hove-Musekwa, Senelani Dorothy 2 Iosifescu, Oana 2 Jiang, Daqing 2 Kaplan, Edward H. 2 Khan, Qamar Jalil Ahmed 2 Kosiński, Robert A. 2 Kuznetsov, Andrey V. 2 Kuznetsov, Ivan A. 2 Lee, Jea-Young 2 Lloyd, Alun L. 2 Lubuma, Jean Mbaro-Saman 2 Malunguza, Noble J. 2 Margheri, Alessandro 2 Mason, Oliver 2 Mbang, Joseph 2 Mewoli, Boulchard 2 Mohamady, Nahed A. 2 Morrison, Kent E. 2 Nåsell, Ingemar 2 Nyabadza, Farai 2 Obaya, Rafael 2 Palis, Jacob jun. 2 Parsons, Todd L. 2 Phạm Tiên So’n 2 Podder, Chandra Nath 2 Pryadko, Leonid P. 2 Quince, Christopher 2 Rasmussen, Martin 2 Ruiz del Portal, Francisco Romero ...and 575 more Authors
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### Cited in 134 Serials

 79 Mathematical Biosciences 19 Journal of Mathematical Biology 18 Journal of Mathematical Economics 18 Mathematical and Computer Modelling 13 Bulletin of Mathematical Biology 11 Journal of Mathematical Analysis and Applications 11 Theoretical Population Biology 9 Systems & Control Letters 9 Journal of Theoretical Biology 8 Applied Mathematics and Computation 7 Automatica 7 Mathematical Population Studies 5 Journal of the Franklin Institute 5 Journal of Economic Theory 5 Nonlinear Analysis. Real World Applications 5 Journal of Biological Dynamics 4 Chaos, Solitons and Fractals 4 Inventiones Mathematicae 4 Applied Mathematical Modelling 3 International Journal of Control 3 International Journal of Systems Science 3 Physica A 3 Mathematical Programming 3 Journal of Information & Optimization Sciences 3 Games and Economic Behavior 3 Economic Theory 3 Differential Equations and Dynamical Systems 3 Nonlinear Dynamics 3 Communications in Nonlinear Science and Numerical Simulation 3 Journal of Biological Systems 3 International Journal of Modern Physics C 3 Journal of Applied Mathematics and Computing 3 Computational & Mathematical Methods in Medicine 3 Mathematical Modelling of Natural Phenomena 3 International Journal of Systems Science. Principles and Applications of Systems and Integration 2 Nonlinearity 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Functional Analysis and its Applications 2 Publications Mathématiques 2 Journal of Computational and Applied Mathematics 2 Journal of Differential Equations 2 Journal of Optimization Theory and Applications 2 Proceedings of the American Mathematical Society 2 Ergodic Theory and Dynamical Systems 2 Economics Letters 2 European Journal of Operational Research 2 SIAM Journal on Optimization 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Computational and Applied Mathematics 2 European Journal of Control 2 Geometry & Topology 2 Discrete Dynamics in Nature and Society 2 International Game Theory Review 2 Review of Economic Design 2 Discrete and Continuous Dynamical Systems. Series B 2 Mathematical Biosciences and Engineering 2 ISRN Biomathematics 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Applicable Analysis 1 Computers & Mathematics with Applications 1 Communications in Mathematical Physics 1 Discrete Applied Mathematics 1 Journal of Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Mathematical Notes 1 Periodica Mathematica Hungarica 1 Physics Reports 1 Rocky Mountain Journal of Mathematics 1 Acta Mathematica 1 Duke Mathematical Journal 1 Information Sciences 1 International Journal of Game Theory 1 Manuscripta Mathematica 1 Nagoya Mathematical Journal 1 Networks 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Quarterly of Applied Mathematics 1 Ricerche di Matematica 1 Theory and Decision 1 Transactions of the American Mathematical Society 1 Operations Research Letters 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Physica D 1 Applied Numerical Mathematics 1 Journal of Complexity 1 Applied Mathematics Letters 1 Annals of Operations Research 1 International Journal of Adaptive Control and Signal Processing 1 Applications of Mathematics 1 Discrete Event Dynamic Systems 1 Communications in Statistics. Simulation and Computation 1 International Journal of Computer Mathematics 1 Linear Algebra and its Applications 1 Proceedings of the National Academy of Sciences of the United States of America 1 Bulletin of the American Mathematical Society. New Series 1 Computational Statistics and Data Analysis 1 Mathematical Programming. Series A. Series B 1 Journal of Dynamics and Differential Equations 1 International Journal of Robust and Nonlinear Control 1 Journal of Convex Analysis ...and 34 more Serials
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### Cited in 34 Fields

 266 Biology and other natural sciences (92-XX) 113 Ordinary differential equations (34-XX) 69 Dynamical systems and ergodic theory (37-XX) 65 Systems theory; control (93-XX) 53 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 38 Probability theory and stochastic processes (60-XX) 24 Numerical analysis (65-XX) 21 Operations research, mathematical programming (90-XX) 18 Statistics (62-XX) 16 Computer science (68-XX) 13 Combinatorics (05-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 9 Partial differential equations (35-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 7 Statistical mechanics, structure of matter (82-XX) 5 Integral equations (45-XX) 5 Differential geometry (53-XX) 5 General topology (54-XX) 5 Algebraic topology (55-XX) 4 Mechanics of particles and systems (70-XX) 3 Operator theory (47-XX) 3 Manifolds and cell complexes (57-XX) 2 General and overarching topics; collections (00-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Algebraic geometry (14-XX) 2 Geophysics (86-XX) 2 Information and communication theory, circuits (94-XX) 1 Category theory; homological algebra (18-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Convex and discrete geometry (52-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX)