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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: https://link.springer.com/journal/11538/volumes-and-issues
https://www.sciencedirect.com/journal/bulletin-of-mathematical-biology
Predecessor: The Bulletin of Mathematical Biophysics
Comments: Journal; Indexed cover-to-cover
Documents Indexed: 3,761 Publications (since 1973)
References Indexed: 3,122 Publications with 113,614 References.
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Latest Issues

86, No. 6 (2024)
86, No. 5 (2024)
86, No. 4 (2024)
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81, No. 1 (2019)
80, No. 12 (2018)
80, No. 11 (2018)
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79, No. 12 (2017)
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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)
...and 219 more Volumes
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Authors

43 Maini, Philip Kumar
35 Lewis, Mark Alun
26 Byrne, Helen Mary
26 Gaffney, Eamonn A.
24 Perelson, Alan S.
20 Rosen, Gerald
19 Sherratt, Jonathan A.
18 Simpson, Matthew J.
17 Edelstein-Keshet, Leah
17 King, John Robert
17 Levy, Doron
16 Chaplain, Mark A. J.
16 McElwain, D. L. Sean
16 Powell, James A.
16 Wang, Hao
15 Britton, Nicholas Ferris
15 Kim, Peter S.
15 van den Driessche, Pauline
14 Hastings, Alan Matthew
13 Baker, Ruth Elizabeth
13 Friedman, Avner
13 Krause, Andrew L.
13 Painter, Kevin J.
13 Segel, Lee Aaron
13 Sneyd, James
13 Tang, Sanyi
12 Myerscough, Mary R.
12 Othmer, Hans G.
12 Roose, Tiina
11 Anderson, Alexander R. A.
11 Gumel, Abba B.
11 Layton, Anita T.
11 van Pelt, Jaap
10 Allen, Linda J. S.
10 Feng, Zhilan
10 Lutscher, Frithjof
10 Martcheva, Maia
10 Massad, Eduardo
10 Michel, Christian J.
10 Schuster, Peter
10 Stadler, Peter F.
10 Willson, Stephen Jeffrey
10 Xiao, Yanni
10 Zou, Xingfu
9 Brindley, John
9 Eberl, Hermann J.
9 Enderling, Heiko
9 Freedman, Herbert Irving
9 Gedeon, Tomáš
9 Gyllenberg, Mats
9 Huber, Katharina T.
9 Kiss, István Z.
9 Kuang, Yang
9 Lenhart, Suzanne M.
9 Matis, James H.
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 Verwer, Ronald W. H.
9 Wang, Yuanshi
9 Waterman, Michael S.
9 Zhu, Huaiping
8 Adler, Frederick R.
8 Broom, Mark
8 Coutinho, Francisco Antonio Bezerra
8 De Boer, Rob J.
8 Erban, Radek
8 Gilligan, Christopher A.
8 Hilker, Frank M.
8 Komarova, Natalia L.
8 Landman, Kerry A.
8 Layton, Harold E.
8 Li, Michael Yi
8 Lorenzi, Tommaso
8 Lou, Yuan
8 Ma, Junling
8 Michelson, Seth
8 Moulton, Vincent L.
8 Parvinen, Kalle
8 Peace, Angela
8 Reidys, Christian Michael
8 Schnell, Santiago
8 Steel, Michael Anthony
8 Tindall, Marcus J.
8 Wu, Jianhong
7 Banerjee, Malay
7 Banks, Harvey Thomas
7 Bolker, Benjamin M.
7 Chapman, Stephen Jonathan
7 Conrad, Michael
7 de Vries, Gerda
7 Demiray, Hilmi
7 Diekmann, Odo
7 Earn, David J. D.
7 Flegg, Jennifer A.
7 Fowler, Andrew C.
...and 6,004 more Authors
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Fields

3,672 Biology and other natural sciences (92-XX)
412 Partial differential equations (35-XX)
409 Ordinary differential equations (34-XX)
294 Probability theory and stochastic processes (60-XX)
225 Numerical analysis (65-XX)
219 Dynamical systems and ergodic theory (37-XX)
168 Systems theory; control (93-XX)
158 Statistics (62-XX)
149 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
127 Fluid mechanics (76-XX)
114 Combinatorics (05-XX)
70 Computer science (68-XX)
62 Calculus of variations and optimal control; optimization (49-XX)
46 Information and communication theory, circuits (94-XX)
44 Operations research, mathematical programming (90-XX)
43 Difference and functional equations (39-XX)
40 General and overarching topics; collections (00-XX)
38 Integral equations (45-XX)
38 Classical thermodynamics, heat transfer (80-XX)
33 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 Operator theory (47-XX)
8 Optics, electromagnetic theory (78-XX)
6 Algebraic geometry (14-XX)
6 Differential geometry (53-XX)
6 Mechanics of particles and systems (70-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 Mathematical logic and foundations (03-XX)
3 Commutative algebra (13-XX)
3 Group theory and generalizations (20-XX)
3 Real functions (26-XX)
3 Measure and integration (28-XX)
3 Algebraic topology (55-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Topological groups, Lie groups (22-XX)
2 Special functions (33-XX)
2 Approximations and expansions (41-XX)
2 General topology (54-XX)
1 Number theory (11-XX)
1 Nonassociative rings and algebras (17-XX)
1 Potential theory (31-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Integral transforms, operational calculus (44-XX)

Publications by Year

Citations contained in zbMATH Open

2,811 Publications have been cited 30,633 times in 19,433 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.
452
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.
351
1994
Continuous and discrete mathematical models of tumor-induced angiogenesis. Zbl 0923.92011
Anderson, A. R. A.; Chaplain, M. A. J.
282
1998
Pulse vaccination strategy in the SIR epidemic model. Zbl 0941.92026
Shulgin, Boris; Stone, Lewi; Agur, Zvia
246
1998
A nonlocal continuum model for biological aggregation. Zbl 1334.92468
Topaz, Chad M.; Bertozzi, Andrea L.; Lewis, Mark A.
224
2006
Global properties of basic virus dynamics models. Zbl 1334.92409
Korobeinikov, Andrei
223
2004
A history of the study of solid tumour growth: the contribution of mathematical modelling. Zbl 1334.92187
Araujo, R. P.; McElwain, D. L. S.
213
2004
Lyapunov functions and global stability for \(SIR\) and \(SIRS\) epidemiological models with non-linear transmission. Zbl 1334.92410
Korobeinikov, Andrei
201
2006
The trade-off between mutual interference and time lags in predator-prey systems. Zbl 0535.92024
Freedman, H. I.; Sree Hari Rao, V.
192
1983
Global properties of infectious disease models with nonlinear incidence. Zbl 1298.92101
Korobeinikov, Andrei
181
2007
Multiple transmission pathways and disease dynamics in a waterborne pathogen model. Zbl 1198.92030
Tien, Joseph H.; Earn, David J. D.
170
2010
Survival analysis of stochastic competitive models in a polluted environment and stochastic competitive exclusion principle. Zbl 1225.92059
Liu, Meng; Wang, Ke; Wu, Qiong
164
2011
Explicit solutions of Fisher’s equation for a special wave speed. Zbl 0423.35079
Ablowitz, Mark J.; Zeppetella, Anthony
161
1979
HIV-1 infection and low steady state viral loads. Zbl 1334.92227
Callaway, Duncan S.; Perelson, Alan S.
159
2002
Predator-prey systems with group defence: The paradox of enrichment revisited. Zbl 0612.92017
Freedman, H. I.; Wolkowicz, G. S. K.
149
1986
Finite-difference schemes for reaction-diffusion equations modeling predator-prey interactions in MATLAB. Zbl 1298.92081
Garvie, Marcus R.
147
2007
Persistence in stochastic food web models. Zbl 0533.92028
Gard, Thomas C.
145
1984
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.
145
2011
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
144
2003
Evolutionary game dynamics in finite populations. Zbl 1334.92372
Taylor, Christine; Fudenberg, Drew; Sasaki, Akira; Nowak, Martin A.
144
2004
Integrated pest management models and their dynamical behaviour. Zbl 1334.91058
Tang, Sanyi; Xiao, Yanni; Chen, Lansun; Cheke, Robert A.
141
2005
Can a species keep pace with a shifting climate? Zbl 1169.92043
Berestycki, H.; Diekmann, O.; Nagelkerke, C. J.; Zegeling, P. A.
139
2009
Reaction and diffusion on growing domains: scenarios for robust pattern formation. Zbl 1323.92028
Crampin, Edmund J.; Gaffney, Eamonn A.; Maini, Philip K.
136
1999
A mathematical model of periodically pulsed chemotherapy: Tumor recurrence and metastasis in a competitive environment. Zbl 0859.92014
Panetta, John Carl
135
1996
Effects of heterogeneity on spread and persistence in rivers. Zbl 1296.92211
Lutscher, Frithjof; Lewis, Mark A.; McCauley, Edward
133
2006
About deterministic extinction in ratio-dependent predator-prey models. Zbl 1323.92173
Jost, Christian; Arino, Ovide; Arditi, Roger
123
1999
Formal language theory and DNA: An analysis of the generative capacity of specific recombinant behaviors. Zbl 0655.92008
Head, T.
115
1987
Approximation of the basic reproduction number \(R_{0}\) for vector-borne diseases with a periodic vector population. Zbl 1298.92093
Bacaër, Nicolas
113
2007
Global stability for delay SIR and SEIR epidemic models with nonlinear incidence rate. Zbl 1197.92040
Huang, Gang; Takeuchi, Yasuhiro; Ma, Wanbiao; Wei, Daijun
111
2010
How predation can slow, stop or reverse a prey invasion. Zbl 1323.92181
Owen, M. R.; Lewis, M. A.
110
2001
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.
109
2005
Multiple attractors, catastrophes and chaos in seasonally perturbed predator-prey communities. Zbl 0756.92026
Rinaldi, Sergio; Muratori, Simona; Kuznetsov, Yuri
107
1993
Modeling optimal intervention strategies for cholera. Zbl 1201.92045
Miller Neilan, Rachael L.; Schaefer, Elsa; Gaff, Holly; Fister, K. Renee; Lenhart, Suzanne
106
2010
Global dynamics of an in-host viral model with intracellular delay. Zbl 1198.92034
Li, Michael Y.; Shu, Hongying
105
2010
Climate and competition: the effect of moving range boundaries on habitat invasibility. Zbl 1334.92454
Potapov, A. B.; Lewis, M. A.
99
2004
Fixation of strategies for an evolutionary game in finite populations. Zbl 1296.92238
Antal, Tibor; Scheuring, István
98
2006
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.
93
1988
The minimal speed of traveling fronts for a diffusive Lotka-Volterra competition model. Zbl 1053.92519
Hosono, Yuzo
93
1998
Topological and phenomenological classification of bursting oscillations. Zbl 0813.92010
Bertram, Richard; Butte, Manish J.; Kiemel, Tim; Sherman, Arthur
91
1995
Generality of the final size formula for an epidemic of a newly invading infectious disease. Zbl 1334.92419
Ma, Junling; Earn, David J. D.
91
2006
Emergence of HIV-1 drug resistance during antiretroviral treatment. Zbl 1298.92053
Rong, Libin; Feng, Zhilan; Perelson, Alan S.
91
2007
Persistence in food webs - I. Lotka-Volterra food chains. Zbl 0422.92017
Gard, Thomas C.; Hallam, Thomas G.
91
1979
On the delayed Ross-Macdonald model for malaria transmission. Zbl 1142.92040
Ruan, Shigui; Xiao, Dongmei; Beier, John C.
86
2008
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
84
2001
Product-form stationary distributions for deficiency zero chemical reaction networks. Zbl 1201.92069
Anderson, David F.; Craciun, Gheorghe; Kurtz, Thomas G.
84
2010
Extending the quasi-steady state approximation by changing variables. Zbl 0866.92010
Borghans, José A. M.; de Boer, Rob J.; Segel, Lee A.
82
1996
Zooplankton mortality and the dynamical behaviour of plankton population models. Zbl 1323.92162
Edwards, Andrew M.; Brindley, John
81
1999
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
81
2010
On the origin of tiger bush. Zbl 0903.92031
Lefever, R.; Lejeune, O.
80
1997
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.
80
2005
Ratio-dependent predator-prey models of interacting populations. Zbl 1170.92027
Haque, Mainul
80
2009
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
79
2004
The modeling of global epidemics: stochastic dynamics and predictability. Zbl 1296.92225
Colizza, V.; Barrat, A.; Barthélemy, M.; Vespignani, A.
79
2006
Traveling waves and spread rates for a West Nile virus model. Zbl 1334.92414
Lewis, Mark; Rencławowicz, Joanna; van den Driessche, P.
78
2006
Modeling the fear effect in predator-prey interactions with adaptive avoidance of predators. Zbl 1372.92095
Wang, Xiaoying; Zou, Xingfu
78
2017
Survival and stationary distribution analysis of a stochastic competitive model of three species in a polluted environment. Zbl 1335.92087
Zhao, Yu; Yuan, Sanling; Ma, Junling
77
2015
On the validity of the steady state assumption of enzyme kinetics. Zbl 0653.92006
Segel, Lee A.
77
1988
The evolutionary dynamics of stochastic epidemic model with nonlinear incidence rate. Zbl 1339.92058
Li, Dan; Cui, Jing’an; Liu, Meng; Liu, Shengqiang
74
2015
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.
74
2008
Sliding mode control of outbreaks of emerging infectious diseases. Zbl 1312.92043
Xiao, Yanni; Xu, Xiaxia; Tang, Sanyi
73
2012
On a nonautonomous SEIRS model in epidemiology. Zbl 1245.34040
Zhang, Tailei; Teng, Zhidong
72
2007
Global stability of population models. Zbl 0451.92011
Cull, Paul
70
1981
Ocean plankton populations as excitable media. Zbl 0803.92026
Truscott, J. E.; Brindley, J.
68
1994
Stoichiometry in producer-grazer systems: linking energy flow with element cycling. Zbl 1323.92098
Loladze, Irakli; Kuang, Yang; Elser, James J.
68
2000
A two-current model for the dynamics of cardiac membrane. Zbl 1334.92097
Mitchell, Colleen C.; Schaeffer, David G.
68
2003
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; Thieffry, Denis; Kaufman, Marcelle
67
1995
Impacts of foraging facilitation among predators on predator-prey dynamics. Zbl 1184.92048
Berec, Luděk
67
2010
Pointwise bounds for a nonlinear heat conduction model of the human head. Zbl 0585.92011
Duggan, R. C.; Goodman, A. M.
66
1986
Bifurcation and stability analysis of a temperature-dependent mite predator-prey interaction model incorporating a prey refuge. Zbl 0810.92024
Collings, John B.
65
1995
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.
65
1999
Chemical reaction systems with toric steady states. Zbl 1251.92016
Millán, Mercedes Pérez; Dickenstein, Alicia; Shiu, Anne; Conradi, Carsten
64
2012
Pattern formation in reaction-diffusion models with nonuniform domain growth. Zbl 1334.92035
Crampin, E. J.; Hackborn, W. W.; Maini, P. K.
63
2002
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.
62
2002
Global stability of single-species diffusion Volterra models with continuous time delays. Zbl 0627.92021
Beretta, E.; Takeuchi, Y.
62
1987
Bifurcation analysis of nonlinear reaction diffusion equations I. Evolution equations and the steady state solutions. Zbl 0357.35048
Auchmuty, J. F. G.; Nicolis, G.
62
1975
A tuberculosis model with seasonality. Zbl 1191.92027
Liu, Luju; Zhao, Xiao-Qiang; Zhou, Yicang
62
2010
Theoretical assessment of public health impact of imperfect prophylactic HIV-1 vaccines with therapeutic benefits. Zbl 1334.91060
Elbasha, Elamin H.; Gumel, Abba B.
61
2006
Persistence and extinction in single-species reaction-diffusion models. Zbl 0543.92020
Allen, Linda J. S.
60
1983
Michaelis-Menten kinetics at high enzyme concentrations. Zbl 1334.92185
Tzafriri, A. R.
59
2003
Multiple stable periodic oscillations in a mathematical model of CTL response to HTLV-I infection. Zbl 1220.92040
Li, Michael Y.; Shu, Hongying
57
2011
Existence and bifurcation of stable equilibrium in two-prey, one-predator communities. Zbl 0524.92025
Takeuchi, Yasuhiro; Adachi, Norihiko
57
1983
Global properties of \(SIR\) and \(SEIR\) epidemic models with multiple parallel infectious stages. Zbl 1169.92041
Korobeinikov, Andrei
57
2009
Persistence in predator-prey systems with ratio-dependent predator influence. Zbl 0771.92017
Freedman, H. I.; Mathsen, R. M.
56
1993
A nonlocal model for contact attraction and repulsion in heterogeneous cell populations. Zbl 1335.92026
Painter, K. J.; Bloomfield, J. M.; Sherratt, J. A.; Gerisch, A.
56
2015
Mathematical models for tumour angiogenesis: Numerical simulations and nonlinear wave solutions. Zbl 0812.92011
Byrne, H. M.; Chaplain, M. A. J.
55
1995
A model for treatment strategy in the chemotherapy of AIDS. Zbl 0853.92009
Kirschner, Denise; Webb, G. F.
55
1996
Enzyme kinetics at high enzyme concentration. Zbl 1323.92099
Schnell, S.; Maini, P. K.
55
2000
Analytical results for individual and group selection of any intensity. Zbl 1144.92035
Traulsen, Arne; Shoresh, Noam; Nowak, Martin A.
55
2008
Integrodifference models for persistence in fragmented habitats. Zbl 0923.92031
Van Kirk, R. W.; Lewis, M. A.
54
1997
Modeling transcriptional control in gene networks – methods, recent results, and future directions. Zbl 1323.92088
Smolen, Paul; Baxter, Douglas A.; Byrne, John H.
54
2000
Algorithms for the optimal identification of segment neighborhoods. Zbl 0658.92010
Auger, Ivan E.; Lawrence, Charles E.
54
1989
Global stability in time-delayed single-species dynamics. Zbl 0606.92020
Freedman, H. I.; Gopalsamy, K.
54
1986
Multiple limit cycles in a Gause type predator-prey model with Holling type III functional response and Allee effect on prey. Zbl 1215.92061
González-Olivares, Eduardo; Rojas-Palma, Alejandro
54
2011
Multiple attractors in stage-structured population models with birth pulses. Zbl 1334.92371
Tang, Sanyi; Chen, Lansun
53
2003
Linearized oscillations in population dynamics. Zbl 0634.92013
Kulenović, M. R. S.; Ladas, G.
53
1987
Modeling the effects of space structure and combination therapies on phenotypic heterogeneity and drug resistance in solid tumors. Zbl 1334.92204
Lorz, Alexander; Lorenzi, Tommaso; Clairambault, Jean; Escargueil, Alexandre; Perthame, Benoît
53
2015
Multi-player matrix games. Zbl 0923.92034
Broom, M.; Cannings, C.; Vickers, G. T.
52
1997
Continuous models for cell migration in tissues and applications to cell sorting via differential chemotaxis. Zbl 1168.92010
Painter, Kevin J.
52
2009
The migration of cells in multicell tumor spheroids. Zbl 1323.92037
Pettet, G. J.; Please, C. P.; Tindall, M. J.; Mcelwain, D. L. S.
51
2001
A stochastic analysis of first-order reaction networks. Zbl 1334.92473
Gadgil, Chetan; Lee, Chang Hyeong; Othmer, Hans G.
51
2005
Novel aspects in pattern formation arise from coupling Turing reaction-diffusion and chemotaxis. Zbl 1530.92015
Fraga Delfino Kunz, Camile; Gerisch, Alf; Glover, James; Headon, Denis; Painter, Kevin John; Matthäus, Franziska
1
2024
Reframing optimal control problems for infectious disease management in low-income countries. Zbl 1512.92106
Igoe, Morganne; Casagrandi, Renato; Gatto, Marino; Hoover, Christopher M.; Mari, Lorenzo; Ngonghala, Calistus N.; Remais, Justin V.; Sanchirico, James N.; Sokolow, Susanne H.; Lenhart, Suzanne; de Leo, Giulio
3
2023
Asymptotic analysis of optimal vaccination policies. Zbl 1508.92148
Penn, Matthew J.; Donnelly, Christl A.
2
2023
A statistical mechanics approach to describe cell reorientation under stretch. Zbl 1519.92067
Loy, N.; Preziosi, L.
2
2023
A mathematical study of metal biosorption on algal-bacterial granular biofilms. Zbl 1519.92134
Russo, Fabiana; Tenore, Alberto; Mattei, Maria Rosaria; Frunzo, Luigi
2
2023
Tumor evolution models of phase-field type with nonlocal effects and angiogenesis. Zbl 1514.92027
Fritz, Marvin
2
2023
Nonlinear diffusion for bacterial traveling wave phenomenon. Zbl 1512.92048
Kim, Yong-Jung; Mimura, Masayasu; Yoon, Changwook
2
2023
Controlling biological invasions: a stochastic host-generalist parasitoid model. Zbl 1505.92178
Zhang, Shengqiang; Duan, Xichao; Zhang, Tonghua; Yuan, Sanling
2
2023
Ecological effects of predator harvesting and environmental noises on oceanic coral reefs. Zbl 1519.92341
Zhao, Xin; Liu, Lidan; Wang, Hao; Fan, Meng
2
2023
Modeling syphilis and HIV coinfection: a case study in the USA. Zbl 1508.92301
Wang, Cheng-Long; Gao, Shasha; Li, Xue-Zhi; Martcheva, Maia
1
2023
Chemical systems with limit cycles. Zbl 1519.92363
Erban, Radek; Kang, Hye-Won
1
2023
Spaces of phylogenetic diversity indices: combinatorial and geometric properties. Zbl 1519.92145
Manson, Kerry; Steel, Mike
1
2023
Modelling cell orientation under stretch: the effect of substrate elasticity. Zbl 1519.92064
Colombi, Annachiara; Preziosi, Luigi; Scianna, Marco
1
2023
A spatial kinetic model of crowd evacuation dynamics with infectious disease contagion. Zbl 1524.76035
Agnelli, Juan Pablo; Buffa, Bruno; Knopoff, Damián; Torres, Germán
1
2023
The evolution of the age of onset of resistance to infectious disease. Zbl 1514.92016
Buckingham, Lydia J.; Ashby, Ben
1
2023
Optimal interruption of P. vivax malaria transmission using mass drug administration. Zbl 1514.92056
Anwar, Md Nurul; Hickson, Roslyn I.; Mehra, Somya; Price, David J.; McCaw, James M.; Flegg, Mark B.; Flegg, Jennifer A.
1
2023
Labellable phylogenetic networks. Zbl 1514.92070
Francis, Andrew; Steel, Mike
1
2023
Natural parameter conditions for singular perturbations of chemical and biochemical reaction networks. Zbl 1519.92362
Eilertsen, Justin; Schnell, Santiago; Walcher, Sebastian
1
2023
Coupling the within-host process and between-host transmission of COVID-19 suggests vaccination and school closures are critical. Zbl 1505.92127
Xue, Yuyi; Chen, Daipeng; Smith?, Stacey R.; Ruan, Xiaoe; Tang, Sanyi
1
2023
Effects of stage structure on coexistence: mixed benefits. Zbl 1512.92063
Bardon, Gaël; Barraquand, Frédéric
1
2023
Minimal morphoelastic models of solid tumour spheroids: a tutorial. Zbl 1512.92004
Walker, Benjamin J.; Celora, Giulia L.; Goriely, Alain; Moulton, Derek E.; Byrne, Helen M.
1
2023
COVID-19 vaccination and healthcare demand. Zbl 1514.92057
Betti, Matthew I.; Abouleish, Amira Hassan; Spofford, Victoria; Peddigrew, Cory; Diener, Alan; Heffernan, Jane M.
1
2023
The role of mobility in the dynamics of the COVID-19 epidemic in Andalusia. Zbl 1519.92297
Rapti, Z.; Cuevas-Maraver, J.; Kontou, E.; Liu, S.; Drossinos, Y.; Kevrekidis, P. G.; Barmann, M.; Chen, Q.-Y.; Kevrekidis, G. A.
1
2023
Quantitative assessment of a dual epidemic caused by tuberculosis and HIV in the Philippines. Zbl 1519.92308
Torres, Monica; Tubay, Jerrold; de los Reyes V, Aurelio
1
2023
Temporal pattern of the emergence of a mutant virus escaping cross-immunity and stochastic extinction within a host. Zbl 1522.92037
Hayashi, Rena; Iwasa, Yoh
1
2023
Stochastic reaction networks within interacting compartments. Zbl 1521.92054
Anderson, David F.; Howells, Aidan S.
1
2023
VisualPDE: rapid interactive simulations of partial differential equations. Zbl 07761531
Walker, Benjamin J.; Townsend, Adam K.; Chudasama, Alexander K.; Krause, Andrew L.
1
2023
Forced traveling waves in a reaction-diffusion equation with strong Allee effect and shifting habitat. Zbl 1530.92301
Li, Bingtuan; Otto, Garrett
1
2023
Control strategies for a multi-strain epidemic model. Zbl 1478.92208
Lou, Yuan; Salako, Rachidi B.
9
2022
Controlling multiple COVID-19 epidemic waves: an insight from a multi-scale model linking the behaviour change dynamics to the disease transmission dynamics. Zbl 1498.92262
Tang, Biao; Zhou, Weike; Wang, Xia; Wu, Hulin; Xiao, Yanni
9
2022
Vaccination and quarantine effect on COVID-19 transmission dynamics incorporating Chinese-Spring-Festival travel rush: modeling and simulations. Zbl 1481.92083
Zou, Yukun; Yang, Wei; Lai, Junjie; Hou, Jiawen; Lin, Wei
6
2022
The heterogeneous severity of COVID-19 in african countries: a modeling approach. Zbl 1485.92145
Musa, Salihu Sabiu; Wang, Xueying; Zhao, Shi; Li, Shudong; Hussaini, Nafiu; Wang, Weiming; He, Daihai
6
2022
A multiscale model of COVID-19 dynamics. Zbl 1497.92310
Wang, Xueying; Wang, Sunpeng; Wang, Jin; Rong, Libin
5
2022
Balancing quarantine and self-distancing measures in adaptive epidemic networks. Zbl 1497.92153
Horstmeyer, Leonhard; Kuehn, Christian; Thurner, Stefan
5
2022
Orchard networks are trees with additional horizontal arcs. Zbl 1501.92097
van Iersel, Leo; Janssen, Remie; Jones, Mark; Murakami, Yukihiro
5
2022
An epidemic model with time-distributed recovery and death rates. Zbl 1497.92257
Ghosh, Samiran; Volpert, Vitaly; Banerjee, Malay
5
2022
Derivation and analysis of a discrete predator-prey model. Zbl 1497.92214
Streipert, Sabrina H.; Wolkowicz, Gail S. K.; Bohner, Martin
5
2022
Dynamics of stoichiometric autotroph-mixotroph-bacteria interactions in the epilimnion. Zbl 1478.92255
Yan, Yawen; Zhang, Jimin; Wang, Hao
5
2022
Ancestral lineages in mutation selection equilibria with moving optimum. Zbl 1497.92176
Forien, Raphaël; Garnier, Jimmy; Patout, Florian
5
2022
A comparison of deterministic and stochastic plant-vector-virus models based on probability of disease extinction and outbreak. Zbl 1486.92253
Maity, Sunil; Mandal, Partha Sarathi
4
2022
Evaluating strategies for tuberculosis to achieve the goals of WHO in China: a seasonal age-structured model study. Zbl 1492.92124
Xue, Ling; Jing, Shuanglin; Wang, Hao
4
2022
Multistationarity in cyclic sequestration-transmutation networks. Zbl 1491.92068
Craciun, Gheorghe; Joshi, Badal; Pantea, Casian; Tan, Ike
4
2022
The hard lessons and shifting modeling trends of COVID-19 dynamics: multiresolution modeling approach. Zbl 1478.92172
Akman, Olcay; Chauhan, Sudipa; Ghosh, Aditi; Liesman, Sara; Michael, Edwin; Mubayi, Anuj; Perlin, Rebecca; Seshaiyer, Padmanabhan; Tripathi, Jai Prakash
4
2022
Extinction of bistable populations is affected by the shape of their initial spatial distribution. Zbl 1484.92076
Li, Yifei; Johnston, Stuart T.; Buenzli, Pascal R.; van Heijster, Peter; Simpson, Matthew J.
4
2022
Effect of non-homogeneous mixing and asymptomatic individuals on final epidemic size and basic reproduction number in a meta-population model. Zbl 1486.92217
Cui, Jingan; Wu, Yucui; Guo, Songbai
3
2022
A hypothesis-free bridging of disease dynamics and non-pharmaceutical policies. Zbl 1486.92295
Wang, Xiunan; Wang, Hao; Ramazi, Pouria; Nah, Kyeongah; Lewis, Mark
3
2022
A multiscale mathematical model of Plasmodium vivax transmission. Zbl 1497.92227
Anwar, Md Nurul; Hickson, Roslyn I.; Mehra, Somya; McCaw, James M.; Flegg, Jennifer A.
3
2022
Testing and isolation efficacy: insights from a simple epidemic model. Zbl 1497.92256
Gharouni, Ali; Abdelmalek, Fred M.; Earn, David J. D.; Dushoff, Jonathan; Bolker, Benjamin M.
3
2022
Modeling and evaluation of the joint prevention and control mechanism for curbing COVID-19 in Wuhan. Zbl 1481.92180
Zhou, Linhua; Rong, Xinmiao; Fan, Meng; Yang, Liu; Chu, Huidi; Xue, Ling; Hu, Guorong; Liu, Siyu; Zeng, Zhijun; Chen, Ming; Sun, Wei; Liu, Jiamin; Liu, Yawen; Wang, Shishen; Zhu, Huaiping
3
2022
Disease-induced hydra effect with overcompensatory recruitment. Zbl 1484.92112
Jaramillo, J. M.; Ma, Junling; van den Driessche, P.; Yakubu, Abdul-Aziz
3
2022
Reaction network analysis of metabolic insulin signaling. Zbl 1500.92034
Lubenia, Patrick Vincent N.; Mendoza, Eduardo R.; Lao, Angelyn R.
3
2022
Assessing age-specific vaccination strategies and post-vaccination reopening policies for COVID-19 control using SEIR modeling approach. Zbl 1498.92119
Wang, Xia; Wu, Hulin; Tang, Sanyi
2
2022
Identifiable paths and cycles in linear compartmental models. Zbl 1486.92064
Bortner, Cashous; Meshkat, Nicolette
2
2022
The effects of migration and limited medical resources of the transmission of SARS-CoV-2 model with two patches. Zbl 1486.92234
Hu, Lin; Wang, Shengfu; Zheng, Tingting; Hu, Zhenxiang; Kang, Yuenan; Nie, Lin-Fei; Teng, Zhidong
2
2022
Modeling transport regulation in gene regulatory networks. Zbl 1497.92099
Fox, Erika; Cummins, Bree; Duncan, William; Gedeon, Tomáš
2
2022
Effect of human behavior on the evolution of viral strains during an epidemic. Zbl 1505.92136
Azizi, Asma; Kazanci, Caner; Komarova, Natalia L.; Wodarz, Dominik
2
2022
A mathematical description of bacterial chemotaxis in response to two stimuli. Zbl 1476.92011
Park, Jeungeun; Aminzare, Zahra
2
2022
Obituary: Edmund John Crampin (1973–2021). Zbl 1480.01049
Maini, Philip K.; Hunter, Peter J.; Gawthrop, Peter J.; Smith, Nic P.
2
2022
Designing drug regimens that mitigate nonadherence. Zbl 1484.92038
Counterman, Elijah D.; Lawley, Sean D.
2
2022
Analysing the effect of test-and-trace strategy in an SIR epidemic model. Zbl 1498.92281
Zhang, Dongni; Britton, Tom
2
2022
From policy to prediction: forecasting COVID-19 dynamics under imperfect vaccination. Zbl 1497.92160
Wang, Xiunan; Wang, Hao; Ramazi, Pouria; Nah, Kyeongah; Lewis, Mark
2
2022
A hybrid epidemic model to explore stochasticity in COVID-19 dynamics. Zbl 1497.92266
Hwang, Karen K. L.; Edholm, Christina J.; Saucedo, Omar; Allen, Linda J. S.; Shakiba, Nika
2
2022
Model-based projection of Zika infection risk with temperature effect: a case study in Southeast Asia. Zbl 1497.92336
Zhu, Guanghu; Shi, Yuanyuan; Li, Yuye; Xiao, Gaoxi; Xiao, Jianpeng; Liu, Qihuai
2
2022
Wolbachia dynamics in mosquitoes with incomplete CI and imperfect maternal transmission by a DDE system. Zbl 1497.92215
Su, Ying; Zheng, Bo; Zou, Xingfu
2
2022
The impact of quarantine and medical resources on the control of COVID-19 in Wuhan based on a household model. Zbl 1486.92223
Feng, Shanshan; Zhang, Juping; Li, Juan; Luo, Xiao-Feng; Zhu, Huaiping; Li, Michael Y.; Jin, Zhen
2
2022
On the fitness of predators with prey-induced dispersal in a habitat with spatial heterogeneity. Zbl 1498.92149
Chang, Youngseok; Choi, Wonhyung; Ahn, Inkyung
2
2022
Cell repolarization: a bifurcation study of spatio-temporal perturbations of polar cells. Zbl 1498.92076
Buttenschön, Andreas; Edelstein-Keshet, Leah
2
2022
A comparison study of predator-prey model in deterministic and stochastic environments with the impacts of fear and habitat complexity. Zbl 1498.92173
Mondal, Sudeshna; Samanta, Guruprasad; De la Sen, Manuel
2
2022
An analytical approach of one-compartmental pharmacokinetic models with sigmoidal Hill elimination. Zbl 1506.92045
Wu, Xiaotian; Zhang, Hao; Li, Jun
2
2022
A mosquito population suppression model by releasing Wolbachia-infected males. Zbl 1498.92318
Liu, Yunfeng; Yu, Jianshe; Li, Jia
2
2022
A hybrid discrete-continuum modelling approach to explore the impact of T-cell infiltration on anti-tumour immune response. Zbl 1503.92026
Almeida, Luis; Audebert, Chloe; Leschiera, Emma; Lorenzi, Tommaso
2
2022
The impact of phenotypic heterogeneity on chemotactic self-organisation. Zbl 1508.92030
Macfarlane, Fiona R.; Lorenzi, Tommaso; Painter, Kevin J.
2
2022
A PDE model for protocell evolution and the origin of chromosomes via multilevel selection. Zbl 1498.92026
Cooney, Daniel B.; Rossine, Fernando W.; Morris, Dylan H.; Levin, Simon A.
1
2022
Performance study of two serial interconnected chemostats with mortality. Zbl 1498.92123
Dali-Youcef, Manel; Rapaport, Alain; Sari, Tewfik
1
2022
Fixed and distributed gene expression time delays in reaction-diffusion systems. Zbl 1497.92093
Sargood, Alec; Gaffney, Eamonn A.; Krause, Andrew L.
1
2022
Modeling the interplay between seasonal flu outcomes and individual vaccination decisions. Zbl 1486.92113
Papst, Irena; O’Keeffe, Kevin P.; Strogatz, Steven H.
1
2022
Back to the roots: a discrete Kermack-McKendrick model adapted to Covid-19. Zbl 1486.92244
Kreck, Matthias; Scholz, Erhard
1
2022
Mathematical modeling of tumor and cancer stem cells treated with CAR-T therapy and inhibition of TGF-\(\beta\). Zbl 1486.92089
Swanson, Ellen R.; Köse, Emek; Zollinger, Elizabeth A.; Elliott, Samantha L.
1
2022
A mean-field approximation of SIR epidemics on an Erdös-Rényi network model. Zbl 1497.92253
Durón, Christina; Farrell, Alex
1
2022
Transmission dynamics of tuberculosis with age-specific disease progression. Zbl 1503.92069
Mu, Yu; Chan, Tsz-Lik; Yuan, Hsiang-Yu; Lo, Wing-Cheong
1
2022
Relation between the number of peaks and the number of reciprocal sign epistatic interactions. Zbl 1497.92180
Saona, Raimundo; Kondrashov, Fyodor A.; Khudiakova, Ksenia A.
1
2022
Combining mechanisms of growth arrest in solid tumours: a mathematical investigation. Zbl 1497.92049
Colson, Chloé; Byrne, Helen M.; Maini, Philip K.
1
2022
Mathematical modeling and analysis of CD200-CD200R in cancer treatment. Zbl 1497.92123
Liao, Kang-Ling; Watt, Kenton D.
1
2022
Structural features of microvascular networks trigger blood flow oscillations. Zbl 1497.92072
Ben-Ami, Y.; Atkinson, G. W.; Pitt-Francis, J. M.; Maini, P. K.; Byrne, H. M.
1
2022
Travelling-wave and asymptotic analysis of a multiphase moving boundary model for engineered tissue growth. Zbl 1497.92119
Jepson, Jacob M.; Fadai, Nabil T.; O’Dea, Reuben D.
1
2022
Analysis of a COVID-19 epidemic model with seasonality. Zbl 1505.92209
Li, Zhimin; Zhang, Tailei
1
2022
Allee effects plus noise induce population dynamics resembling binary Markov highs and lows. Zbl 1497.92201
Gordillo, Luis F.; Greenwood, Priscilla E.
1
2022
Host diversification may split epidemic spread into two successive fronts advancing at different speeds. Zbl 1491.92111
Hamelin, F. M.; Mammeri, Y.; Aigu, Y.; Strelkov, S. E.; Lewis, M. A.
1
2022
Stochastic modeling of in vitro bactericidal potency. Zbl 1478.92122
Bogdanov, Anita; Kevei, Péter; Szalai, Máté; Virok, Dezső
1
2022
Merging arcs to produce acyclic phylogenetic networks and normal networks. Zbl 1481.92094
Willson, Stephen J.
1
2022
On the validity of the stochastic quasi-steady-state approximation in open enzyme catalyzed reactions: timescale separation or singular perturbation? Zbl 1482.92037
Eilertsen, Justin; Schnell, Santiago
1
2022
Vector-borne disease models with active and inactive vectors: a simple way to consider biting behavior. Zbl 1481.92162
Simoy, Mario Ignacio; Aparicio, Juan Pablo
1
2022
Intermittent hormone therapy models analysis and Bayesian model comparison for prostate cancer. Zbl 1478.92089
Pasetto, S.; Enderling, H.; Gatenby, R. A.; Brady-Nicholls, R.
1
2022
Turing instabilities and rotating spiral waves in glycolytic processes. Zbl 1497.92087
Cisneros-Ake, Luis A.; Gonzalez-Rodriguez, Juan C.; González-Ramírez, Laura R.
1
2022
Analysis of the geographic transmission differences of COVID-19 in China caused by population movement and population density. Zbl 1497.92265
Hu, Yi; Wang, Kaifa; Wang, Wendi
1
2022
Local overfishing patterns have regional effects on health of coral, and economic transitions can promote its recovery. Zbl 1486.92321
Milne, Russell; Bauch, Chris T.; Anand, Madhur
1
2022
Modeling the dynamics of heroin and illicit opioid use disorder, treatment, and recovery. Zbl 1486.92216
Cole, Sandra; Wirkus, Stephen
1
2022
Time-scale analysis and parameter fitting for vector-borne diseases with spatial dynamics. Zbl 1500.92115
Sartori, Larissa; Pereira, Marcone; Oliva, Sergio
1
2022
Long-term forecast of HIV/AIDS epidemic in China with fear effect and 90-90-90 strategies. Zbl 1500.92122
Xue, Ling; Zhang, Kai; Wang, Hao
1
2022
Understanding the role of environmental transmission on COVID-19 herd immunity and invasion potential. Zbl 1498.92232
Masud, M. A.; Islam, Md. Hamidul; Kim, Byul Nim
1
2022
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Cited by 23,053 Authors

133 Chen, Lansun
101 Teng, Zhi-dong
95 Jiang, Daqing
91 Tang, Sanyi
90 Maini, Philip Kumar
89 Wang, Hao
79 Byrne, Helen Mary
78 Chaplain, Mark A. J.
75 Jin, Zhen
72 Xiao, Yanni
68 Simpson, Matthew J.
67 Hayat, Tasawar
67 Takeuchi, Yasuhiro
66 Elaiw, Ahmed M.
64 Ruan, Shigui
63 Chattopadhyay, Joydev
60 Zhao, Xiao-Qiang
59 Wu, Jianhong
58 Banerjee, Malay
56 Song, Xinyu
53 Gumel, Abba B.
53 Sherratt, Jonathan A.
52 Kumar Upadhyay, Ranjit
52 Yuan, Sanling
51 Lewis, Mark Alun
50 Liu, Meng
49 Meng, Xinzhu
49 Zhang, Tonghua
48 Gaffney, Eamonn A.
48 Kuang, Yang
48 Wei, Junjie
48 Xu, Rui
48 Zou, Xingfu
46 Cheke, Robert A.
46 Demiray, Hilmi
46 Qiu, Zhipeng
46 Sun, Guiquan
45 Carrillo de la Plata, José Antonio
45 Liu, Qun
45 Lou, Yuan
45 Rong, Libin
44 Martcheva, Maia
44 Nowak, Martin Andreas
44 van den Driessche, Pauline
44 Wang, Xia
43 Allen, Linda J. S.
43 Lutscher, Frithjof
43 Rychtár, Jan
43 Wang, Jin
42 Feng, Zhilan
42 Gao, Shujing
42 Venturino, Ezio
42 Wang, Jinliang
42 Wang, Wendi
41 Friedman, Avner
41 Li, Xuezhi
41 Shi, Junping
40 Broom, Mark
40 Wang, Ke
39 Baker, Ruth Elizabeth
39 Banks, Harvey Thomas
39 Bressloff, Paul C.
39 Cui, Jingan
38 Al-saedi, Ahmed Eid Salem
38 Kang, Yun
38 Ma, Wanbiao
38 Samanta, Guru Prasad
38 Zhu, Huaiping
37 King, John Robert
37 Li, Wan-Tong
36 Chen, Yuming
36 Kar, Tapan Kumar
36 Liu, Xianning
36 Painter, Kevin J.
36 Samanta, Sudip
36 Wang, Yuanshi
35 Jang, Sophia R.-J.
35 Misra, Arvind Kumar
35 Song, Yongli
35 Wang, Weiming
34 Li, Jia
34 Zhao, Hongyong
33 d’Onofrio, Alberto
33 Lenhart, Suzanne M.
33 Lorenzi, Tommaso
33 Petrovskii, Sergei V.
33 Winkler, Michael
33 Yakubu, Abdul-Aziz
33 Zhang, Tailei
32 Jiao, Jianjun
32 Lin, Zhigui
32 Pei, Yongzhen
32 Perelson, Alan S.
32 Volpert, Vitaly A.
32 Wang, Zhian
31 Layton, Anita T.
31 Liu, Shengqiang
31 Nie, Linfei
31 Preziosi, Luigi
31 Stadler, Peter F.
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1,695 Bulletin of Mathematical Biology
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999 Journal of Mathematical Biology
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135 Applied Mathematics Letters
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89 Computational & Mathematical Methods in Medicine
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88 ZAMP. Zeitschrift für angewandte Mathematik und Physik
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55 Advances in Applied Mathematics
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52 Mathematical Problems in Engineering
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50 Acta Applicandae Mathematicae
50 Complexity
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37 Automatica
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35 Nonlinear Analysis. Modelling and Control
34 Applied Numerical Mathematics
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34 Nonlinear Analysis. Theory, Methods & Applications
34 AIMS Mathematics
33 Ricerche di Matematica
32 International Journal of Nonlinear Sciences and Numerical Simulation
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31 The ANZIAM Journal
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30 Acta Mathematicae Applicatae Sinica. English Series
30 Neural Computation
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27 Optimal Control Applications & Methods
27 Natural Computing
27 Multiscale Modeling & Simulation
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26 Japan Journal of Industrial and Applied Mathematics
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9 Field theory and polynomials (12-XX)
8 Functions of a complex variable (30-XX)
8 Relativity and gravitational theory (83-XX)
7 Geometry (51-XX)
6 Several complex variables and analytic spaces (32-XX)
4 Topological groups, Lie groups (22-XX)
3 Sequences, series, summability (40-XX)
2 Associative rings and algebras (16-XX)
2 Potential theory (31-XX)
2 Abstract harmonic analysis (43-XX)
2 Astronomy and astrophysics (85-XX)
1 General algebraic systems (08-XX)

Citations by Year