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Bulletin of Mathematical Biology

A Journal Devoted to Research at the Junction of Computational, Theoretical and Experimental Biology. Official Journal of The Society for Mathematical Biology

Short Title: Bull. Math. Biol.
Publisher: Springer US, New York, NY
ISSN: 0092-8240; 1522-9602/e
Online: http://link.springer.com/journal/volumesAndIssues/11538
http://www.sciencedirect.com/science/journal/00928240
Predecessor: The Bulletin of Mathematical Biophysics
Comments: Indexed cover-to-cover
Documents Indexed: 3,483 Publications (since 1973)
References Indexed: 2,842 Publications with 99,645 References.
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Latest Issues

84, No. 6 (2022)
84, No. 5 (2022)
84, No. 4 (2022)
84, No. 3 (2022)
84, No. 2 (2022)
84, No. 1 (2022)
83, No. 12 (2021)
83, No. 11 (2021)
83, No. 10 (2021)
83, No. 9 (2021)
83, No. 8 (2021)
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82, No. 12 (2020)
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81, No. 12 (2019)
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81, No. 8 (2019)
81, No. 7 (2019)
81, No. 6 (2019)
81, No. 5 (2019)
81, No. 4 (2019)
81, No. 3 (2019)
81, No. 2 (2019)
81, No. 1 (2019)
80, No. 12 (2018)
80, No. 11 (2018)
80, No. 10 (2018)
80, No. 9 (2018)
80, No. 8 (2018)
80, No. 7 (2018)
80, No. 6 (2018)
80, No. 5 (2018)
80, No. 4 (2018)
80, No. 3 (2018)
80, No. 2 (2018)
80, No. 1 (2018)
79, No. 12 (2017)
79, No. 11 (2017)
79, No. 10 (2017)
79, No. 9 (2017)
79, No. 8 (2017)
79, No. 7 (2017)
79, No. 6 (2017)
79, No. 5 (2017)
79, No. 4 (2017)
79, No. 3 (2017)
79, No. 2 (2017)
79, No. 1 (2017)
78, No. 12 (2016)
78, No. 11 (2016)
78, No. 10 (2016)
78, No. 9 (2016)
78, No. 8 (2016)
78, No. 7 (2016)
78, No. 6 (2016)
78, No. 5 (2016)
78, No. 4 (2016)
78, No. 3 (2016)
78, No. 2 (2016)
78, No. 1 (2016)
77, No. 12 (2015)
77, No. 11 (2015)
77, No. 10 (2015)
77, No. 9 (2015)
77, No. 8 (2015)
77, No. 7 (2015)
77, No. 6 (2015)
77, No. 5 (2015)
77, No. 4 (2015)
77, No. 3 (2015)
77, No. 2 (2015)
77, No. 1 (2015)
76, No. 12 (2014)
76, No. 11 (2014)
76, No. 10 (2014)
76, No. 9 (2014)
76, No. 8 (2014)
76, No. 7 (2014)
76, No. 6 (2014)
76, No. 5 (2014)
76, No. 4 (2014)
76, No. 3 (2014)
...and 195 more Volumes
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Authors

38 Maini, Philip Kumar
31 Lewis, Mark Alun
24 Perelson, Alan S.
21 Gaffney, Eamonn A.
20 Rosen, Gerald
19 Byrne, Helen Mary
19 Sherratt, Jonathan A.
17 King, John Robert
17 Simpson, Matthew J.
16 Chaplain, Mark A. J.
16 Mcelwain, D. L. Sean
15 Britton, Nicholas Ferris
15 Kim, Peter S.
15 Levy, Doron
14 Edelstein-Keshet, Leah
14 van den Driessche, Pauline
13 Segel, Lee Aaron
12 Baker, Ruth Elizabeth
12 Friedman, Avner
12 Hastings, Alan
12 Othmer, Hans G.
12 Roose, Tiina
11 Gumel, Abba B.
11 Powell, James A.
11 Sneyd, James
11 van Pelt, Jaap
10 Anderson, Alexander R. A.
10 Feng, Zhilan
10 Layton, Anita T.
10 Lutscher, Frithjof
10 Massad, Eduardo
10 Myerscough, Mary R.
10 Painter, Kevin J.
10 Schuster, Peter
10 Stadler, Peter F.
10 Wang, Hao
9 Brindley, John
9 Eberl, Hermann J.
9 Freedman, Herbert Irving
9 Gyllenberg, Mats
9 Matis, James H.
9 Michel, Christian J.
9 Nisbet, Roger M.
9 Owen, Markus Roger
9 Parnas, Hanna
9 Petrovskii, Sergei V.
9 Plank, Michael J.
9 Ruan, Shigui
9 Stone, Lewi
9 Tang, Sanyi
9 Verwer, Ronald W. H.
9 Wang, Yuanshi
9 Willson, Stephen Jeffrey
9 Zhu, Huaiping
8 Adler, Frederick R.
8 Allen, Linda J. S.
8 Broom, Mark
8 Coutinho, Francisco Antonio Bezerra
8 De Boer, Rob J.
8 Gilligan, Christopher A.
8 Hilker, Frank M.
8 Krause, Andrew L.
8 Landman, Kerry A.
8 Layton, Harold E.
8 Lenhart, Suzanne M.
8 Li, Michael Yi
8 Lou, Yuan
8 Ma, Junling
8 Martcheva, Maia
8 Michelson, Seth
8 Parvinen, Kalle
8 Peace, Angela
8 Tindall, Marcus J.
8 Waterman, Michael S.
8 Wu, Jianhong
8 Xiao, Yanni
8 Zou, Xingfu
7 Chapman, Stephen Jonathan
7 Conrad, Michael
7 de Vries, Gerda
7 Demiray, Hilmi
7 Diekmann, Odo
7 Erban, Radek
7 Fowler, Andrew C.
7 Franks, Nigel R.
7 Gopalsamy, Kondalsamy
7 Huber, Katharina T.
7 Keener, James P.
7 Kirschner, Denise E.
7 Kiss, István Z.
7 Komarova, Natalia L.
7 Kuang, Yang
7 Morozov, Andrew Yu.
7 Moulton, Vincent L.
7 Peskin, Charles S.
7 Reidys, Christian Michael
7 Rescigno, Aldo
7 Sherman, Arthur S.
7 Solimano, Fortunata
7 Varon, Ramón
...and 5,425 more Authors
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Fields

3,400 Biology and other natural sciences (92-XX)
361 Ordinary differential equations (34-XX)
352 Partial differential equations (35-XX)
270 Probability theory and stochastic processes (60-XX)
218 Numerical analysis (65-XX)
215 Dynamical systems and ergodic theory (37-XX)
164 Systems theory; control (93-XX)
145 Statistics (62-XX)
133 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
122 Fluid mechanics (76-XX)
104 Combinatorics (05-XX)
67 Computer science (68-XX)
53 Calculus of variations and optimal control; optimization (49-XX)
46 Information and communication theory, circuits (94-XX)
42 Difference and functional equations (39-XX)
39 General and overarching topics; collections (00-XX)
38 Classical thermodynamics, heat transfer (80-XX)
38 Operations research, mathematical programming (90-XX)
34 Integral equations (45-XX)
31 Mechanics of deformable solids (74-XX)
19 Linear and multilinear algebra; matrix theory (15-XX)
17 Statistical mechanics, structure of matter (82-XX)
12 Convex and discrete geometry (52-XX)
12 Global analysis, analysis on manifolds (58-XX)
11 Category theory; homological algebra (18-XX)
9 History and biography (01-XX)
8 Optics, electromagnetic theory (78-XX)
7 Operator theory (47-XX)
6 Differential geometry (53-XX)
6 Mechanics of particles and systems (70-XX)
5 Algebraic geometry (14-XX)
4 Functional analysis (46-XX)
4 Geometry (51-XX)
4 Manifolds and cell complexes (57-XX)
4 Quantum theory (81-XX)
4 Geophysics (86-XX)
4 Mathematics education (97-XX)
3 Commutative algebra (13-XX)
3 Group theory and generalizations (20-XX)
3 Measure and integration (28-XX)
2 Mathematical logic and foundations (03-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Topological groups, Lie groups (22-XX)
2 Real functions (26-XX)
2 Approximations and expansions (41-XX)
2 General topology (54-XX)
2 Algebraic topology (55-XX)
1 Number theory (11-XX)
1 Nonassociative rings and algebras (17-XX)
1 Potential theory (31-XX)
1 Special functions (33-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Integral transforms, operational calculus (44-XX)

Publications by Year

Citations contained in zbMATH Open

2,526 Publications have been cited 23,670 times in 15,159 Documents Cited by Year
Determining important parameters in the spread of malaria through the sensitivity analysis of a mathematical model. Zbl 1142.92025
Chitnis, Nakul; Hyman, James M.; Cushing, Jim M.
296
2008
Nonlinear dynamics of immunogenic tumors: Parameter estimation and global bifurcation analysis. Zbl 0789.92019
Kuznetsov, Vladimir A.; Makalkin, Iliya A.; Taylor, Mark A.; Perelson, Alan S.
252
1994
Continuous and discrete mathematical models of tumor-induced angiogenesis. Zbl 0923.92011
Anderson, A. R. A.; Chaplain, M. A. J.
225
1998
Pulse vaccination strategy in the SIR epidemic model. Zbl 0941.92026
Shulgin, Boris; Stone, Lewi; Agur, Zvia
211
1998
Global properties of basic virus dynamics models. Zbl 1334.92409
Korobeinikov, Andrei
183
2004
A nonlocal continuum model for biological aggregation. Zbl 1334.92468
Topaz, Chad M.; Bertozzi, Andrea L.; Lewis, Mark A.
178
2006
A history of the study of solid tumour growth: the contribution of mathematical modelling. Zbl 1334.92187
Araujo, R. P.; McElwain, D. L. S.
172
2004
Lyapunov functions and global stability for \(SIR\) and \(SIRS\) epidemiological models with non-linear transmission. Zbl 1334.92410
Korobeinikov, Andrei
160
2006
The trade-off between mutual interference and time lags in predator-prey systems. Zbl 0535.92024
Freedman, H. I.; Sree Hari Rao, V.
159
1983
Global properties of infectious disease models with nonlinear incidence. Zbl 1298.92101
Korobeinikov, Andrei
149
2007
Multiple transmission pathways and disease dynamics in a waterborne pathogen model. Zbl 1198.92030
Tien, Joseph H.; Earn, David J. D.
124
2010
Persistence in stochastic food web models. Zbl 0533.92028
Gard, Thomas C.
122
1984
A mathematical model of periodically pulsed chemotherapy: Tumor recurrence and metastasis in a competitive environment. Zbl 0859.92014
Panetta, John Carl
121
1996
HIV-1 infection and low steady state viral loads. Zbl 1334.92227
Callaway, Duncan S.; Perelson, Alan S.
121
2002
Explicit solutions of Fisher’s equation for a special wave speed. Zbl 0423.35079
Ablowitz, Mark J.; Zeppetella, Anthony
119
1979
Integrated pest management models and their dynamical behaviour. Zbl 1334.91058
Tang, Sanyi; Xiao, Yanni; Chen, Lansun; Cheke, Robert A.
118
2005
Predator-prey systems with group defence: The paradox of enrichment revisited. Zbl 0612.92017
Freedman, H. I.; Wolkowicz, G. S. K.
115
1986
Evolutionary game dynamics in finite populations. Zbl 1334.92372
Taylor, Christine; Fudenberg, Drew; Sasaki, Akira; Nowak, Martin A.
113
2004
Survival analysis of stochastic competitive models in a polluted environment and stochastic competitive exclusion principle. Zbl 1225.92059
Liu, Meng; Wang, Ke; Wu, Qiong
112
2011
Reaction and diffusion on growing domains: scenarios for robust pattern formation. Zbl 1323.92028
Crampin, Edmund J.; Gaffney, Eamonn A.; Maini, Philip K.
111
1999
About deterministic extinction in ratio-dependent predator-prey models. Zbl 1323.92173
Jost, Christian; Arino, Ovide; Arditi, Roger
109
1999
Finite-difference schemes for reaction-diffusion equations modeling predator-prey interactions in MATLAB. Zbl 1298.92081
Garvie, Marcus R.
109
2007
Chemotactic signaling, microglia, and Alzheimer’s disease senile plaques: Is there a connection? Zbl 1334.92077
Luca, Magdalena; Chavez-Ross, Alexandra; Edelstein-Keshet, Leah; Mogilner, Alex
105
2003
Interactions between the immune system and cancer: A brief review of non-spatial mathematical models. Zbl 1209.92028
Eftimie, Raluca; Bramson, Jonathan L.; Earn, David J. D.
104
2011
Approximation of the basic reproduction number \(R_{0}\) for vector-borne diseases with a periodic vector population. Zbl 1298.92093
Bacaër, Nicolas
103
2007
Formal language theory and DNA: An analysis of the generative capacity of specific recombinant behaviors. Zbl 0655.92008
Head, T.
102
1987
Effects of heterogeneity on spread and persistence in rivers. Zbl 1296.92211
Lutscher, Frithjof; Lewis, Mark A.; McCauley, Edward
100
2006
Multiple attractors, catastrophes and chaos in seasonally perturbed predator-prey communities. Zbl 0756.92026
Rinaldi, Sergio; Muratori, Simona; Kuznetsov, Yuri
96
1993
A mathematical model for assessing control strategies against West Nile virus. Zbl 1334.92392
Bowman, C.; Gumel, A. B.; van den Driessche, P.; Wu, J.; Zhu, H.
94
2005
How predation can slow, stop or reverse a prey invasion. Zbl 1323.92181
Owen, M. R.; Lewis, M. A.
93
2001
Can a species keep pace with a shifting climate? Zbl 1169.92043
Berestycki, H.; Diekmann, O.; Nagelkerke, C. J.; Zegeling, P. A.
92
2009
Global dynamics of an in-host viral model with intracellular delay. Zbl 1198.92034
Li, Michael Y.; Shu, Hongying
91
2010
Metastability in a temperature-dependent model system for predator-prey mite outbreak interactions on fruit trees. Zbl 0652.92019
Wollkind, David J.; Collings, John B.; Logan, Jesse A.
78
1988
Global stability for delay SIR and SEIR epidemic models with nonlinear incidence rate. Zbl 1197.92040
Huang, Gang; Takeuchi, Yasuhiro; Ma, Wanbiao; Wei, Daijun
77
2010
Fixation of strategies for an evolutionary game in finite populations. Zbl 1296.92238
Antal, Tibor; Scheuring, István
76
2006
Modeling optimal intervention strategies for cholera. Zbl 1201.92045
Miller Neilan, Rachael L.; Schaefer, Elsa; Gaff, Holly; Fister, K. Renee; Lenhart, Suzanne
73
2010
Persistence in food webs - I. Lotka-Volterra food chains. Zbl 0422.92017
Gard, Thomas C.; Hallam, Thomas G.
72
1979
Topological and phenomenological classification of bursting oscillations. Zbl 0813.92010
Bertram, Richard; Butte, Manish J.; Kiemel, Tim; Sherman, Arthur
72
1995
Climate and competition: the effect of moving range boundaries on habitat invasibility. Zbl 1334.92454
Potapov, A. B.; Lewis, M. A.
72
2004
Emergence of HIV-1 drug resistance during antiretroviral treatment. Zbl 1298.92053
Rong, Libin; Feng, Zhilan; Perelson, Alan S.
71
2007
Extending the quasi-steady state approximation by changing variables. Zbl 0866.92010
Borghans, José A. M.; de Boer, Rob J.; Segel, Lee A.
70
1996
The minimal speed of traveling fronts for a diffusive Lotka-Volterra competition model. Zbl 1053.92519
Hosono, Yuzo
70
1998
Generality of the final size formula for an epidemic of a newly invading infectious disease. Zbl 1334.92419
Ma, Junling; Earn, David J. D.
70
2006
Zooplankton mortality and the dynamical behaviour of plankton population models. Zbl 1323.92162
Edwards, Andrew M.; Brindley, John
69
1999
Nonlinear simulation of tumor necrosis, neo-vascularization and tissue invasion via an adaptive finite-element/level-set method. Zbl 1334.92214
Zheng, X.; Wise, S. M.; Cristini, V.
66
2005
Mathematical modeling of capillary formation and development in tumor angiogenesis: penetration into the stroma. Zbl 1323.92029
Levine, Howard A.; Pamuk, Serdal; Sleeman, Brian D.; Nilsen-Hamilton, Marit
64
2001
Backward bifurcation and optimal control in transmission dynamics of West Nile virus. Zbl 1191.92024
Blayneh, Kbenesh W.; Gumel, Abba B.; Lenhart, Suzanne; Clayton, Tim
64
2010
Qualitative simulation of genetic regulatory networks using piecewise-linear models. Zbl 1334.92282
de Jong, Hidde; Gouzé, Jean-Luc; Hernandez, Céline; Page, Michel; Sari, Tewfik; Geiselmann, Johannes
63
2004
On a nonautonomous SEIRS model in epidemiology. Zbl 1245.34040
Zhang, Tailei; Teng, Zhidong
63
2007
Global stability of population models. Zbl 0451.92011
Cull, Paul
62
1981
Product-form stationary distributions for deficiency zero chemical reaction networks. Zbl 1201.92069
Anderson, David F.; Craciun, Gheorghe; Kurtz, Thomas G.
61
2010
Overview of mathematical approaches used to model bacterial chemotaxis. II: Bacterial populations. Zbl 1209.92006
Tindall, M. J.; Maini, P. K.; Porter, S. L.; Armitage, J. P.
60
2008
On the validity of the steady state assumption of enzyme kinetics. Zbl 0653.92006
Segel, Lee A.
60
1988
Ratio-dependent predator-prey models of interacting populations. Zbl 1170.92027
Haque, Mainul
59
2009
On the delayed Ross-Macdonald model for malaria transmission. Zbl 1142.92040
Ruan, Shigui; Xiao, Dongmei; Beier, John C.
59
2008
A two-current model for the dynamics of cardiac membrane. Zbl 1334.92097
Mitchell, Colleen C.; Schaeffer, David G.
59
2003
The modeling of global epidemics: stochastic dynamics and predictability. Zbl 1296.92225
Colizza, V.; Barrat, A.; Barthélemy, M.; Vespignani, A.
59
2006
Sliding mode control of outbreaks of emerging infectious diseases. Zbl 1312.92043
Xiao, Yanni; Xu, Xiaxia; Tang, Sanyi
58
2012
On the origin of tiger bush. Zbl 0903.92031
Lefever, R.; Lejeune, O.
57
1997
Persistence and extinction in single-species reaction-diffusion models. Zbl 0543.92020
Allen, Linda J. S.
57
1983
Global stability of single-species diffusion Volterra models with continuous time delays. Zbl 0627.92021
Beretta, E.; Takeuchi, Y.
57
1987
Traveling waves and spread rates for a West Nile virus model. Zbl 1334.92414
Lewis, Mark; Rencławowicz, Joanna; van den Driessche, P.
55
2006
A tuberculosis model with seasonality. Zbl 1191.92027
Liu, Luju; Zhao, Xiao-Qiang; Zhou, Yicang
53
2010
Bifurcation analysis of nonlinear reaction diffusion equations I. Evolution equations and the steady state solutions. Zbl 0357.35048
Auchmuty, J. F. G.; Nicolis, G.
52
1975
Pointwise bounds for a nonlinear heat conduction model of the human head. Zbl 0585.92011
Duggan, R. C.; Goodman, A. M.
52
1986
Ocean plankton populations as excitable media. Zbl 0803.92026
Truscott, J. E.; Brindley, J.
52
1994
Multiple attractors in stage-structured population models with birth pulses. Zbl 1334.92371
Tang, Sanyi; Chen, Lansun
52
2003
Stoichiometry in producer-grazer systems: linking energy flow with element cycling. Zbl 1323.92098
Loladze, Irakli; Kuang, Yang; Elser, James J.
51
2000
Theoretical assessment of public health impact of imperfect prophylactic HIV-1 vaccines with therapeutic benefits. Zbl 1334.91060
Elbasha, Elamin H.; Gumel, Abba B.
51
2006
Integrodifference models for persistence in fragmented habitats. Zbl 0923.92031
Van Kirk, R. W.; Lewis, M. A.
50
1997
Existence and bifurcation of stable equilibrium in two-prey, one-predator communities. Zbl 0524.92025
Takeuchi, Yasuhiro; Adachi, Norihiko
50
1983
Analytical results for individual and group selection of any intensity. Zbl 1144.92035
Traulsen, Arne; Shoresh, Noam; Nowak, Martin A.
49
2008
Bifurcation and stability analysis of a temperature-dependent mite predator-prey interaction model incorporating a prey refuge. Zbl 0810.92024
Collings, John B.
49
1995
Persistence in predator-prey systems with ratio-dependent predator influence. Zbl 0771.92017
Freedman, H. I.; Mathsen, R. M.
48
1993
Dynamical behaviour of biological regulatory networks. I: Biological role of feedback loops and practical use of the concept of the loop- characteristic state. Zbl 0821.92009
Thomas, René; Thieffrey, Denis; Kaufman, Marcelle
48
1995
Global stability in time-delayed single-species dynamics. Zbl 0606.92020
Freedman, H. I.; Gopalsamy, K.
48
1986
Mathematical modelling of flow through vascular networks: implications for tumour-induced angiogenesis and chemotherapy strategies. Zbl 1334.92106
McDougall, S. R.; Anderson, A. R. A.; Chaplain, M. A. J.; Sherratt, J. A.
48
2002
Pattern formation in reaction-diffusion models with nonuniform domain growth. Zbl 1334.92035
Crampin, E. J.; Hackborn, W. W.; Maini, P. K.
48
2002
A two-dimensional numerical study of spatial pattern formation in interacting Turing systems. Zbl 1323.92026
Barrio, R. A.; Varea, C.; Aragón, J. L.; Maini, P. K.
47
1999
Chemical reaction systems with toric steady states. Zbl 1251.92016
Millán, Mercedes Pérez; Dickenstein, Alicia; Shiu, Anne; Conradi, Carsten
47
2012
Linearized oscillations in population dynamics. Zbl 0634.92013
Kulenović, M. R. S.; Ladas, G.
47
1987
A stochastic analysis of first-order reaction networks. Zbl 1334.92473
Gadgil, Chetan; Lee, Chang Hyeong; Othmer, Hans G.
47
2005
Modelling the dynamics of West Nile virus. Zbl 1334.92397
Cruz-Pacheco, Gustavo; Esteva, Lourdes; Montaõ-Hirose, Juan Antonio; Vargas, Cristobal
47
2005
Stability analysis of a predator-prey system with mutual interference and density-dependent death rates. Zbl 0387.92016
Freedman, H. I.
46
1979
Global properties of \(SIR\) and \(SEIR\) epidemic models with multiple parallel infectious stages. Zbl 1169.92041
Korobeinikov, Andrei
46
2009
Michaelis-Menten kinetics at high enzyme concentrations. Zbl 1334.92185
Tzafriri, A. R.
46
2003
Modeling transcriptional control in gene networks – methods, recent results, and future directions. Zbl 1323.92088
Smolen, Paul; Baxter, Douglas A.; Byrne, John H.
45
2000
Enzyme kinetics at high enzyme concentration. Zbl 1323.92099
Schnell, S.; Maini, P. K.
45
2000
The migration of cells in multicell tumor spheroids. Zbl 1323.92037
Pettet, G. J.; Please, C. P.; Tindall, M. J.; Mcelwain, D. L. S.
45
2001
A model for treatment strategy in the chemotherapy of AIDS. Zbl 0853.92009
Kirschner, Denise; Webb, G. F.
45
1996
Threshold conditions for a non-autonomous epidemic system describing the population dynamics of dengue. Zbl 1296.92226
Coutinho, F. A. B.; Burattini, M. N.; Lopez, L. F.; Massad, E.
45
2006
Mathematical models for tumour angiogenesis: Numerical simulations and nonlinear wave solutions. Zbl 0812.92011
Byrne, H. M.; Chaplain, M. A. J.
44
1995
Fractional reproduction-dispersal equations and heavy tail dispersal kernels. Zbl 1296.92195
Baeumer, Boris; Kovács, Mihály; Meerschaert, Mark M.
44
2007
Analysis of intra-uterine fluid motion induced by uterine contractions. Zbl 1323.92063
Eytan, Osnat; Elad, David
43
1999
Consensus n-trees. Zbl 0455.92019
Margush, T.; McMorris, F. R.
43
1981
A mathematical model for quorum sensing in Pseudomonas aeruginosa. Zbl 1323.92123
Dockery, Jack D.; Keener, James P.
42
2001
Multiple stable periodic oscillations in a mathematical model of CTL response to HTLV-I infection. Zbl 1220.92040
Li, Michael Y.; Shu, Hongying
42
2011
Bifurcating spatially heterogeneous solutions in a chemotaxis model for biological pattern generation. Zbl 0725.92004
Maini, P. K.; Myerscough, M. R.; Winters, K. H.; Murray, J. D.
42
1991
Logical identification of all steady states: The concept of feedback loop characteristic states. Zbl 0784.92002
Snoussi, El Houssine; Thomas, René
42
1993
The evolutionary dynamics of stochastic epidemic model with nonlinear incidence rate. Zbl 1339.92058
Li, Dan; Cui, Jing’an; Liu, Meng; Liu, Shengqiang
42
2015
A mathematical description of bacterial chemotaxis in response to two stimuli. Zbl 1476.92011
Park, Jeungeun; Aminzare, Zahra
2
2022
Control strategies for a multi-strain epidemic model. Zbl 1478.92208
Lou, Yuan; Salako, Rachidi B.
1
2022
Sequential data assimilation of the stochastic SEIR epidemic model for regional COVID-19 dynamics. Zbl 1457.92163
Engbert, Ralf; Rabe, Maximilian M.; Kliegl, Reinhold; Reich, Sebastian
6
2021
Propagation of epidemics along lines with fast diffusion. Zbl 1457.92156
Berestycki, Henri; Roquejoffre, Jean-Michel; Rossi, Luca
4
2021
Competitive exclusion in a general multi-species chemostat model with stochastic perturbations. Zbl 1460.92129
Xu, Chaoqun; Yuan, Sanling; Zhang, Tonghua
4
2021
Invading and receding sharp-fronted travelling waves. Zbl 1460.92232
El-Hachem, Maud; McCue, Scott W.; Simpson, Matthew J.
4
2021
Global dynamics of a reaction-diffusion model of Zika virus transmission with seasonality. Zbl 1464.35370
Li, Fuxiang; Zhao, Xiao-Qiang
3
2021
Mosquito control based on pesticides and endosymbiotic bacterium Wolbachia. Zbl 1466.92186
Hu, Linchao; Yang, Cui; Hui, Yuanxian; Yu, Jianshe
3
2021
Bayesian-weighted triplet and quartet methods for species tree inference. Zbl 1470.92221
Richards, Andrew; Kubatko, Laura
2
2021
A dynamic model to assess human papillomavirus vaccination strategies in a heterosexual population combined with men who have sex with men. Zbl 1460.92119
Gao, Shasha; Martcheva, Maia; Miao, Hongyu; Rong, Libin
2
2021
Antibody dynamics for Plasmodium vivax malaria: a mathematical model. Zbl 1460.92055
Mehra, Somya; McCaw, James M.; Flegg, Mark B.; Taylor, Peter G.; Flegg, Jennifer A.
2
2021
A network immuno-epidemiological HIV model. Zbl 1460.92200
Gupta, Churni; Tuncer, Necibe; Martcheva, Maia
2
2021
Bespoke Turing systems. Zbl 1460.92028
Woolley, Thomas E.; Krause, Andrew L.; Gaffney, Eamonn A.
2
2021
The role of cytoplasmic MEX-5/6 polarity in asymmetric cell division. Zbl 1466.92016
Seirin-Lee, Sungrim
2
2021
Controlling the spatial spread of a Xylella epidemic. Zbl 1464.35352
Aniţa, Sebastian; Capasso, Vincenzo; Scacchi, Simone
2
2021
Pattern formation in a three-species cyclic competition model. Zbl 1466.92014
Manna, Kalyan; Volpert, Vitaly; Banerjee, Malay
2
2021
Leadership through influence: what mechanisms allow leaders to steer a swarm? Zbl 1480.92238
Bernardi, Sara; Eftimie, Raluca; Painter, Kevin J.
2
2021
A mathematical study of the influence of hypoxia and acidity on the evolutionary dynamics of cancer. Zbl 1467.92057
Fiandaca, Giada; Delitala, Marcello; Lorenzi, Tommaso
2
2021
A comparison of the “reduced losses” and “increased production” models for mussel bed dynamics. Zbl 1478.92251
Sherratt, Jonathan A.; Liu, Quan-Xing; van de Koppel, Johan
1
2021
Modelling preferential phagocytosis in atherosclerosis: delineating timescales in plaque development. Zbl 1471.92100
Lui, Gigi; Myerscough, Mary R.
1
2021
Atto-foxes and other minutiae. Zbl 1476.92033
Fowler, A. C.
1
2021
A Zika endemic model for the contribution of multiple transmission routes. Zbl 1482.37100
Yuan, Xiaoyan; Lou, Yijun; He, Daihai; Wang, Jinliang; Gao, Daozhou
1
2021
Reduced models of cardiomyocytes excitability: comparing Karma and FitzHugh-Nagumo. Zbl 1468.92029
Gonzalez Herrero, Maria Elena; Kuehn, Christian; Tsaneva-Atanasova, Krasimira
1
2021
An age-structured model for tilapia lake virus transmission in freshwater with vertical and horizontal transmission. Zbl 1475.35356
Kenne, Cyrille; Dorville, René; Mophou, Gisèle; Zongo, Pascal
1
2021
A random walk approach to transport in tissues and complex media: from microscale descriptions to macroscale models. Zbl 1470.92100
Stotsky, Jay A.; Gou, Jia; Othmer, Hans G.
1
2021
Optimal control of mitigation strategies for dengue virus transmission. Zbl 1460.92123
Xue, Ling; Ren, Xue; Magpantay, Felicia; Sun, Wei; Zhu, Huaiping
1
2021
Thermodynamic inhibition in a biofilm reactor with suspended bacteria. Zbl 1460.92126
Gaebler, Harry J.; Hughes, Jack M.; Eberl, Hermann J.
1
2021
Red light and the dormancy-germination decision in Arabidopsis seeds. Zbl 1460.92130
FitzGerald, Cody; Keener, James
1
2021
Dispersal and good habitat quality promote neutral genetic diversity in metapopulations. Zbl 1466.37071
Garnier, Jimmy; Lafontaine, Pierre
1
2021
Topological data analysis approaches to uncovering the timing of ring structure onset in filamentous networks. Zbl 1460.92063
Ciocanel, Maria-Veronica; Juenemann, Riley; Dawes, Adriana T.; McKinley, Scott A.
1
2021
Mathematical model of tumour spheroid experiments with real-time cell cycle imaging. Zbl 1458.92043
Jin, Wang; Spoerri, Loredana; Haass, Nikolas K.; Simpson, Matthew J.
1
2021
Modeling the effect of HIV/AIDS stigma on HIV infection dynamics in Kenya. Zbl 1466.92193
Levy, Ben; Correia, Hannah E.; Chirove, Faraimunashe; Ronoh, Marilyn; Abebe, Ash; Kgosimore, Moatlhodi; Chimbola, Obias; Machingauta, M. Hellen; Lenhart, Suzanne; White, K. A. Jane
1
2021
The signature of endemic populations in the spread of mountain pine beetle outbreaks. Zbl 1464.92247
Koch, Dean; Lewis, Mark A.; Lele, Subhash
1
2021
Stochastic chlamydia dynamics and optimal spread. Zbl 1472.92210
Enciso, German; Sütterlin, Christine; Tan, Ming; Wan, Frederic Y. M.
1
2021
On the threshold of release of confinement in an epidemic SEIR model taking into account the protective effect of mask. Zbl 1466.92168
Auger, Pierre; Moussaoui, Ali
1
2021
Calcium dynamics and water transport in salivary acinar cells. Zbl 1466.92049
Sneyd, James; Vera-Sigüenza, Elias; Rugis, John; Pages, Nathan; Yule, David I.
1
2021
Dynamics of competitive systems with diffusion between source-sink patches. Zbl 1467.34053
Wu, Hong; Wang, Yuanshi
1
2021
A mathematical model supporting a hyperpredation effect in the apparent competition between invasive Eastern cottontail and native European hare. Zbl 1466.92141
Caudera, Elisa; Viale, Simona; Bertolino, Sandro; Cerri, Jacopo; Venturino, Ezio
1
2021
The role of stochasticity in noise-induced tipping point cascades: a master equation approach. Zbl 1466.92152
Mallela, Abhishek; Hastings, Alan
1
2021
The effect of covert and overt infections on disease dynamics in honey-bee colonies. Zbl 1467.92179
Britton, Nicholas F.; Jane White, K. A.
1
2021
Correction to: “Red light and the dormancy-germination decision in Arabidopsis seeds”. Zbl 1466.92120
FitzGerald, Cody; Keener, James
1
2021
Generalized stoichiometry and biogeochemistry for astrobiological applications. Zbl 1467.92009
Kempes, Christopher P.; Follows, Michael J.; Smith, Hillary; Graham, Heather; House, Christopher H.; Levin, Simon A.
1
2021
Mechanical models of pattern and form in biological tissues: the role of stress-strain constitutive equations. Zbl 1467.92038
Villa, Chiara; Chaplain, Mark A. J.; Gerisch, Alf; Lorenzi, Tommaso
1
2021
Isolating patterns in open reaction-diffusion systems. Zbl 1467.92034
Krause, Andrew L.; Klika, Václav; Maini, Philip K.; Headon, Denis; Gaffney, Eamonn A.
1
2021
Correction to: “Oscillations and pattern formation in a slow-fast prey-predator system”. Zbl 1478.92151
Chowdhury, Pranali Roy; Petrovskii, Sergei; Banerjee, Malay
1
2021
Commentary on Ferguson, et al., “Impact of non-pharmaceutical interventions (NPIs) to reduce COVID-19 mortality and healthcare demand”. Zbl 1434.92030
Eubank, S.; Eckstrand, I.; Lewis, B.; Venkatramanan, S.; Marathe, M.; Barrett, C. L.
11
2020
Noise-induced transitions in a nonsmooth producer-grazer model with stoichiometric constraints. Zbl 1443.92195
Yuan, Sanling; Wu, Dongmei; Lan, Guijie; Wang, Hao
9
2020
Optimal control of the COVID-19 pandemic with non-pharmaceutical interventions. Zbl 1448.92139
Perkins, T. Alex; España, Guido
5
2020
Modeling the effects of meteorological factors and unreported cases on seasonal influenza outbreaks in Gansu Province, China. Zbl 1444.92116
Jing, Shuang-Lin; Huo, Hai-Feng; Xiang, Hong
5
2020
Population dynamics with threshold effects give rise to a diverse family of allee effects. Zbl 1444.92086
Fadai, Nabil T.; Simpson, Matthew J.
5
2020
A mathematical dissection of the adaptation of cell populations to fluctuating oxygen levels. Zbl 1453.92093
Ardaševa, Aleksandra; Gatenby, Robert A.; Anderson, Alexander R. A.; Byrne, Helen M.; Maini, Philip K.; Lorenzi, Tommaso
5
2020
On the regional control of a reaction-diffusion system SIR. Zbl 1432.92091
El Alami Laaroussi, Adil; Rachik, Mostafa
5
2020
Mix and match: phenotypic coexistence as a key facilitator of cancer invasion. Zbl 1432.92031
Strobl, Maximilian A. R.; Krause, Andrew L.; Damaghi, Mehdi; Gillies, Robert; Anderson, Alexander R. A.; Maini, Philip K.
5
2020
Speed switch in glioblastoma growth rate due to enhanced hypoxia-induced migration. Zbl 1435.92014
Curtin, Lee; Hawkins-Daarud, Andrea; van der Zee, Kristoffer G.; Swanson, Kristin R.; Owen, Markus R.
4
2020
Modelling the effect of incubation and latent periods on the dynamics of vector-borne plant viral diseases. Zbl 1451.92273
Al Basir, Fahad; Adhurya, Sagar; Banerjee, Malay; Venturino, Ezio; Ray, Santanu
3
2020
Modeling and dynamics analysis of Zika transmission with limited medical resources. Zbl 07233393
Zhao, Hongyong; Wang, Liping; Oliva, Sergio Muniz; Zhu, Huaiping
3
2020
Game-theoretical model of retroactive hepatitis B vaccination in China. Zbl 1453.92186
Chouhan, Ali; Maiwand, Sohail; Ngo, Matthew; Putalapattu, Vooha; Rychtář, Jan; Taylor, Dewey
3
2020
Multiple attractors and long transients in spatially structured populations with an Allee effect. Zbl 1453.92267
Vortkamp, Irina; Schreiber, Sebastian J.; Hastings, Alan; Hilker, Frank M.
3
2020
Turing patterning in stratified domains. Zbl 1453.92043
Krause, Andrew L.; Klika, Václav; Halatek, Jacob; Grant, Paul K.; Woolley, Thomas E.; Dalchau, Neil; Gaffney, Eamonn A.
3
2020
Disease emergence in multi-patch stochastic epidemic models with demographic and seasonal variability. Zbl 1457.92173
Nipa, Kaniz Fatema; Allen, Linda J. S.
3
2020
The effect of movement behavior on population density in patchy landscapes. Zbl 1432.92086
Zaker, Nazanin; Ketchemen, Laurence; Lutscher, Frithjof
3
2020
Spreading speed in an integrodifference predator-prey system without comparison principle. Zbl 1437.92154
Lin, Guo; Niu, Yibin; Pan, Shuxia; Ruan, Shigui
3
2020
A non-local cross-diffusion model of population dynamics I: emergent spatial and spatiotemporal patterns. Zbl 1448.92253
Taylor, Nick P.; Kim, Hyunyeon; Krause, Andrew L.; Van Gorder, Robert A.
2
2020
A non-local cross-diffusion model of population dynamics II: exact, approximate, and numerical traveling waves in single- and multi-species populations. Zbl 1448.92212
Krause, Andrew L.; Van Gorder, Robert A.
2
2020
Cell-scale degradation of peritumoural extracellular matrix fibre network and its role within tissue-scale cancer invasion. Zbl 1444.92028
Shuttleworth, Robyn; Trucu, Dumitru
2
2020
The space of tree-based phylogenetic networks. Zbl 1444.92070
Fischer, Mareike; Francis, Andrew
2
2020
Thermodynamic inhibition in chemostat models. With an application to bioreduction of uranium. Zbl 1444.92064
Gaebler, Harry J.; Eberl, Hermann J.
2
2020
A framework for network-based epidemiological modeling of tuberculosis dynamics using synthetic datasets. Zbl 1444.92122
Renardy, Marissa; Kirschner, Denise E.
2
2020
Characterizing chemotherapy-induced neutropenia and monocytopenia through mathematical modelling. Zbl 1448.92096
Cassidy, Tyler; Humphries, Antony R.; Craig, Morgan; Mackey, Michael C.
2
2020
The de Rham-Hodge analysis and modeling of biomolecules. Zbl 1448.92158
Zhao, Rundong; Wang, Menglun; Chen, Jiahui; Tong, Yiying; Wei, Guo-Wei
2
2020
On nonlinear pest/vector control via the sterile insect technique: impact of residual fertility. Zbl 1448.92391
Aronna, M. Soledad; Dumont, Yves
2
2020
Optimal management of public perceptions during a flu outbreak: a game-theoretic perspective. Zbl 1453.92188
Deka, Aniruddha; Pantha, Buddhi; Bhattacharyya, Samit
2
2020
Spatial dynamics and spread of ecosystem engineers: two patch analysis. Zbl 1454.92035
Arroyo-Esquivel, Jorge; Hastings, Alan
2
2020
The timing and nature of behavioural responses affect the course of an epidemic. Zbl 1432.92101
Tyson, Rebecca C.; Hamilton, Stephanie D.; Lo, Aboubakr S.; Baumgaertner, Bert O.; Krone, Stephen M.
2
2020
Statistically consistent and computationally efficient inference of ancestral DNA sequences in the TKF91 model under dense taxon sampling. Zbl 1435.92044
Fan, Wai-Tong; Roch, Sebastien
2
2020
A current perspective on wound healing and tumour-induced angiogenesis. Zbl 1432.92008
Flegg, Jennifer A.; Menon, Shakti N.; Byrne, Helen M.; McElwain, D. L. Sean
2
2020
Should I stay or should I go: partially sedentary populations can outperform fully dispersing populations in response to climate-induced range shifts. Zbl 1432.92104
Cobbold, Christina A.; Stana, Remus
2
2020
Resonance of periodic combination antiviral therapy and intracellular delays in virus model. Zbl 1432.92052
Browne, Cameron J.; Pan, Xuejun; Shu, Hongying; Wang, Xiang-Sheng
2
2020
An activation-clearance model for Plasmodium vivax malaria. Zbl 1432.92094
Mehra, Somya; McCaw, James M.; Flegg, Mark B.; Taylor, Peter G.; Flegg, Jennifer A.
2
2020
A note on observation processes in epidemic models. Zbl 1435.92081
Park, Sang Woo; Bolker, Benjamin M.
2
2020
Toward predicting the spatio-temporal dynamics of alopecia areata lesions using partial differential equation analysis. Zbl 1433.92011
Dobreva, Atanaska; Paus, Ralf; Cogan, N. G.
2
2020
Dynamic analysis of the time-delayed genetic regulatory network between two auto-regulated and mutually inhibitory genes. Zbl 1437.92053
Wang, Guiyuan; Yang, Zhuoqin; Turcotte, Marc
2
2020
Are two-patch models sufficient? The evolution of dispersal and topology of river network modules. Zbl 1467.34049
Jiang, Hongyan; Lam, King-Yeung; Lou, Yuan
2
2020
Effects of latency on estimates of the COVID-19 replication number. Zbl 1448.92334
Sadun, Lorenzo
1
2020
Learning equations from biological data with limited time samples. Zbl 1448.92241
Nardini, John T.; Lagergren, John H.; Hawkins-Daarud, Andrea; Curtin, Lee; Morris, Bethan; Rutter, Erica M.; Swanson, Kristin R.; Flores, Kevin B.
1
2020
Modeling the effect of memory in the adaptive immune response. Zbl 1448.92067
Wyatt, Asia; Levy, Doron
1
2020
Stochastic model of bovine babesiosis with juvenile and adult cattle. Zbl 1437.92144
Wang, Xueying; Saad-Roy, Chadi M.; van den Driessche, P.
1
2020
Parameter estimation for evaporation-driven tear film thinning. Zbl 1444.92020
Luke, Rayanne A.; Braun, Richard J.; Driscoll, Tobin A.; Begley, Carolyn G.; Awisi-Gyau, Deborah
1
2020
Optimizing the timing and composition of therapeutic phage cocktails: a control-theoretic approach. Zbl 1444.92044
Li, Guanlin; Leung, Chung Yin; Wardi, Yorai; Debarbieux, Laurent; Weitz, Joshua S.
1
2020
Modeling the 2014–2015 Ebola virus disease outbreaks in Sierra Leone, Guinea, and Liberia with effect of high- and low-risk susceptible individuals. Zbl 1448.92316
Lin, Qianying; Musa, Salihu S.; Zhao, Shi; He, Daihai
1
2020
A cellular automata model of oncolytic virotherapy in pancreatic cancer. Zbl 1448.92097
Chen, J.; Weihs, D.; Vermolen, F. J.
1
2020
Stoichiometric modeling of aboveground-belowground interaction of herbaceous plant and two herbivores. Zbl 1448.92381
Rong, Xinmiao; Sun, Yazhou; Fan, Meng; Wang, Hao
1
2020
Pushing the boundaries: models for the spatial spread of ecosystem engineers. Zbl 1452.35222
Lutscher, Frithjof; Fink, Justus; Zhu, Yingjie
1
2020
Predicting \(N\)-strain coexistence from co-colonization interactions: epidemiology meets ecology and the replicator equation. Zbl 1453.92308
Madec, Sten; Gjini, Erida
1
2020
A mechanistic investigation into ischemia-driven distal recurrence of glioblastoma. Zbl 1453.92070
Curtin, Lee; Hawkins-Daarud, Andrea; Porter, Alyx B.; van der Zee, Kristoffer G.; Owen, Markus R.; Swanson, Kristin R.
1
2020
Control of intracellular molecular networks using algebraic methods. Zbl 1432.92040
Sordo Vieira, Luis; Laubenbacher, Reinhard C.; Murrugarra, David
1
2020
Inside dynamics of integrodifference equations with mutations. Zbl 1432.92066
Marculis, Nathan G.; Lewis, Mark A.
1
2020
Mathematical modelling of auxin transport in plant tissues: flux meets signalling and growth. Zbl 1432.92041
Allen, Henry R.; Ptashnyk, Mariya
1
2020
Additional analytical support for a new method to compute the likelihood of diversification models. Zbl 1432.92065
Laudanno, Giovanni; Haegeman, Bart; Etienne, Rampal S.
1
2020
Maternal passive immunity and dengue hemorrhagic fever in infants. Zbl 1433.92047
Adimy, Mostafa; Mancera, Paulo F. A.; Rodrigues, Diego S.; Santos, Fernando L. P.; Ferreira, Cláudia P.
1
2020
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129 Chen, Lansun
83 Teng, Zhi-dong
75 Tang, Sanyi
72 Chaplain, Mark A. J.
71 Maini, Philip Kumar
61 Byrne, Helen Mary
59 Takeuchi, Yasuhiro
58 Xiao, Yanni
57 Jin, Zhen
57 Ruan, Shigui
55 Elaiw, Ahmed M.
54 Song, Xinyu
54 Zhao, Xiao-Qiang
50 Simpson, Matthew J.
49 Chattopadhyay, Joydev
49 Gumel, Abba B.
49 Jiang, Daqing
47 Hayat, Tasawar
46 Sherratt, Jonathan A.
45 Liu, Meng
45 Wu, Jianhong
42 Banerjee, Malay
42 Lewis, Mark Alun
41 Kuang, Yang
40 Kumar Upadhyay, Ranjit
40 Lutscher, Frithjof
40 Xu, Rui
39 Gaffney, Eamonn A.
39 Qiu, Zhipeng
39 Rychtár, Jan
38 Carrillo de la Plata, José Antonio
38 van den Driessche, Pauline
38 Wang, Wendi
38 Wei, Junjie
37 Allen, Linda J. S.
37 Banks, Harvey Thomas
37 Cheke, Robert A.
37 Feng, Zhilan
37 Friedman, Avner
37 King, John Robert
37 Shi, Junping
37 Zou, Xingfu
36 Broom, Mark
36 Demiray, Hilmi
36 Martcheva, Maia
36 Meng, Xinzhu
36 Wang, Ke
36 Yuan, Sanling
35 Gao, Shujing
35 Lou, Yuan
35 Wang, Jin
34 Cui, Jingan
34 Nowak, Martin Andreas
34 Rong, Libin
34 Wang, Xia
33 Sun, Guiquan
33 Venturino, Ezio
33 Zhang, Tonghua
32 Kar, Tapan Kumar
31 Kang, Yun
31 Li, Wan-Tong
31 Li, Xuezhi
31 Yakubu, Abdul-Aziz
31 Zhu, Huaiping
30 Baker, Ruth Elizabeth
30 d’Onofrio, Alberto
30 Jang, Sophia R.-J.
30 Pei, Yongzhen
30 Samanta, Guru Prasad
30 Wang, Hao
30 Wang, Jinliang
29 Layton, Anita T.
29 Liu, Xianning
29 Lorenzi, Tommaso
29 Zhang, Tailei
28 Freedman, Herbert Irving
28 Petrovskii, Sergei V.
28 Wang, Weiming
27 Ma, Wanbiao
27 Madzvamuse, Anotida
27 Painter, Kevin J.
27 Perelson, Alan S.
27 Samanta, Sudip K.
27 Zhao, Min
26 Jiao, Jianjun
26 Kim, Peter S.
26 Liu, Shengqiang
26 Stadler, Peter F.
26 Wang, Yuanshi
25 Bressloff, Paul C.
25 Eftimie, Raluca
25 Lenhart, Suzanne M.
25 Preziosi, Luigi
25 Reidys, Christian Michael
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11 Mathematics education (97-XX)
10 Nonassociative rings and algebras (17-XX)
9 Integral transforms, operational calculus (44-XX)
8 Functions of a complex variable (30-XX)
7 Several complex variables and analytic spaces (32-XX)
6 Field theory and polynomials (12-XX)
5 Geometry (51-XX)
4 Topological groups, Lie groups (22-XX)
3 Relativity and gravitational theory (83-XX)
2 Associative rings and algebras (16-XX)
2 Sequences, series, summability (40-XX)
1 General algebraic systems (08-XX)
1 Abstract harmonic analysis (43-XX)
1 Astronomy and astrophysics (85-XX)

Citations by Year