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SIAM Journal on Applied Mathematics

Short Title: SIAM J. Appl. Math.
Publisher: Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA
ISSN: 0036-1399; 1095-712X/e
Online: http://epubs.siam.org/loi/smjmap
Predecessor: Journal of the Society for Industrial & Applied Mathematics
Comments: Indexed cover-to-cover
Documents Indexed: 5,836 Publications (since 1966)
References Indexed: 842 Publications with 30,957 References.
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Latest Issues

82, No. 2 (2022)
82, No. 1 (2022)
81, No. 6 (2021)
81, No. 5 (2021)
81, No. 4 (2021)
81, No. 3 (2021)
81, No. 2 (2021)
81, No. 1 (2021)
80, No. 6 (2020)
80, No. 5 (2020)
80, No. 4 (2020)
80, No. 3 (2020)
80, No. 2 (2020)
80, No. 1 (2020)
79, No. 6 (2019)
79, No. 5 (2019)
79, No. 4 (2019)
79, No. 3 (2019)
79, No. 2 (2019)
79, No. 1 (2019)
78, No. 6 (2018)
78, No. 5 (2018)
78, No. 4 (2018)
78, No. 3 (2018)
78, No. 2 (2018)
78, No. 1 (2018)
77, No. 6 (2017)
77, No. 5 (2017)
77, No. 4 (2017)
77, No. 3 (2017)
77, No. 2 (2017)
77, No. 1 (2017)
76, No. 6 (2016)
76, No. 5 (2016)
76, No. 4 (2016)
76, No. 3 (2016)
76, No. 2 (2016)
76, No. 1 (2016)
75, No. 6 (2015)
75, No. 5 (2015)
75, No. 4 (2015)
75, No. 3 (2015)
75, No. 2 (2015)
75, No. 1 (2015)
74, No. 6 (2014)
74, No. 5 (2014)
74, No. 4 (2014)
74, No. 3 (2014)
74, No. 2 (2014)
74, No. 1 (2014)
73, No. 6 (2013)
73, No. 5 (2013)
73, No. 4 (2013)
73, No. 3 (2013)
73, No. 2 (2013)
73, No. 1 (2013)
72, No. 6 (2012)
72, No. 5 (2012)
72, No. 4 (2012)
72, No. 3 (2012)
72, No. 2 (2012)
72, No. 1 (2012)
71, No. 6 (2011)
71, No. 5 (2011)
71, No. 4 (2011)
71, No. 3 (2011)
71, No. 2 (2011)
71, No. 1 (2011)
70, No. 8 (2010)
70, No. 7 (2010)
70, No. 6 (2010)
70, No. 5 (2009/2010)
70, No. 4 (2009)
70, No. 3 (2009)
70, No. 2 (2009)
70, No. 1 (2009)
69, No. 6 (2009)
69, No. 5 (2009)
69, No. 4 (2009)
69, No. 3 (2008)
69, No. 2 (2008)
69, No. 1 (2008)
68, No. 6 (2008)
68, No. 5 (2008)
68, No. 4 (2008)
68, No. 3 (2008)
68, No. 2 (2007)
68, No. 1 (2007)
67, No. 6 (2007)
67, No. 5 (2007)
67, No. 4 (2007)
67, No. 3 (2007)
67, No. 2 (2007)
67, No. 1 (2006)
66, No. 6 (2006)
66, No. 5 (2006)
66, No. 4 (2006)
66, No. 3 (2006)
66, No. 2 (2005)
66, No. 1 (2005)
...and 144 more Volumes
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Authors

67 Matkowsky, Bernard J.
44 Keller, Joseph Bishop
34 Knessl, Charles
33 Schuss, Zeev
32 Chapman, Stephen Jonathan
28 Keener, James P.
25 Ammari, Habib M.
24 Ward, Michael J.
23 Cohen, Donald Sussman
23 Morrison, John A.
22 Erneux, Thomas
22 Reiss, Edward L.
21 Papanicolaou, George C.
21 Zemanian, Armen H.
18 Olmstead, W. Edward
18 Smith, Hal Leslie
17 Bonilla, Luis Lopez
17 King, John Robert
17 Tier, Charles
16 Bressloff, Paul C.
16 Gautesen, Arthur K.
16 Klar, Axel
15 Fowler, Andrew C.
15 Margolis, Stephen B.
15 Miura, Robert M.
15 Santosa, Fadil N.
15 Waltman, Paul Elvis
14 Du, Qiang
14 Garnier, Josselin
14 Please, Colin P.
13 Geer, James F.
13 Haberman, Richard
13 Kang, Hyeonbae
13 Kriegsmann, Gregory A.
13 Seo, Jin Keun
13 Sherratt, Jonathan A.
12 Bertozzi, Andrea Louise
12 Colton, David Lem
12 de Hoop, Maarten V.
12 Gourley, Stephen A.
12 Hagan, Patrick S.
12 Howell, Peter D.
12 Kopell, Nancy J.
12 Ruan, Shigui
12 Sølna, Knut
12 Troy, William C.
11 Bayliss, Alvin
11 Calderer, Maria-Carme T.
11 Cannon, John Rozier
11 Ermentrout, George Bard
11 Kath, William L.
11 Schmeiser, Christian
11 Sivashinsky, Gregory I.
11 van den Driessche, Pauline
11 Zabarankin, Michael
11 Zhao, Xiao-Qiang
10 Carasso, Alfred S.
10 Hoppensteadt, Frank C.
10 Hsu, Szebi
10 Hyvönen, Nuutti
10 Kassoy, David R.
10 Klibanov, Michael V.
10 Lange, Charles G.
10 Liu, Hongyu
10 Majda, Andrew J.
10 Miksis, Michael J.
10 Monk, Peter B.
10 Murray, James Dickson
10 Ockendon, John R.
10 Ringhofer, Christian A.
10 Zhang, Bo
9 Bao, Gang
9 Dassios, George
9 Fibich, Gadi
9 Forest, Mark Gregory
9 Goldsztein, Guillermo H.
9 Harrach, Bastian
9 Kapila, Ashwani Kumar
9 Kuang, Yang
9 Larsen, Edward W.
9 Milton, Graeme Walter
9 Scherzer, Otmar
9 Ting, Lu
9 Wegener, Raimund
9 Wei, Juncheng
9 Wolkowicz, Gail S. K.
8 Abrahams, I. David
8 Campbell, Sue Ann
8 Cole, Julian David
8 Cook, L. Pamela
8 Craciun, Gheorghe
8 Cushing, Jim M.
8 Delsarte, Philippe
8 Haddar, Houssem
8 Hunter, John K.
8 Hyman, James M.
8 Joly, Patrick
8 Katsevich, Alexander I.
8 Keller, Herbert Bishop
8 Li, Bingtuan
...and 6,378 more Authors
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Fields

2,126 Partial differential equations (35-XX)
1,128 Fluid mechanics (76-XX)
1,024 Biology and other natural sciences (92-XX)
936 Ordinary differential equations (34-XX)
684 Numerical analysis (65-XX)
607 Probability theory and stochastic processes (60-XX)
584 Mechanics of deformable solids (74-XX)
415 Optics, electromagnetic theory (78-XX)
341 Dynamical systems and ergodic theory (37-XX)
331 Classical thermodynamics, heat transfer (80-XX)
287 Statistical mechanics, structure of matter (82-XX)
281 Operations research, mathematical programming (90-XX)
263 Integral equations (45-XX)
177 Information and communication theory, circuits (94-XX)
176 Systems theory; control (93-XX)
172 Calculus of variations and optimal control; optimization (49-XX)
162 Statistics (62-XX)
154 Linear and multilinear algebra; matrix theory (15-XX)
152 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
137 Mechanics of particles and systems (70-XX)
135 Approximations and expansions (41-XX)
134 Combinatorics (05-XX)
113 Computer science (68-XX)
110 Geophysics (86-XX)
109 Operator theory (47-XX)
73 Functions of a complex variable (30-XX)
69 Integral transforms, operational calculus (44-XX)
55 Potential theory (31-XX)
54 Harmonic analysis on Euclidean spaces (42-XX)
46 Global analysis, analysis on manifolds (58-XX)
46 Quantum theory (81-XX)
43 Special functions (33-XX)
39 Difference and functional equations (39-XX)
35 Functional analysis (46-XX)
24 Differential geometry (53-XX)
20 Real functions (26-XX)
19 Astronomy and astrophysics (85-XX)
18 Number theory (11-XX)
16 Convex and discrete geometry (52-XX)
13 Group theory and generalizations (20-XX)
12 Topological groups, Lie groups (22-XX)
12 Measure and integration (28-XX)
10 General topology (54-XX)
8 Order, lattices, ordered algebraic structures (06-XX)
7 Manifolds and cell complexes (57-XX)
6 Nonassociative rings and algebras (17-XX)
6 Geometry (51-XX)
5 General and overarching topics; collections (00-XX)
5 Field theory and polynomials (12-XX)
5 Sequences, series, summability (40-XX)
5 Abstract harmonic analysis (43-XX)
4 Commutative algebra (13-XX)
4 Mathematics education (97-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Algebraic topology (55-XX)
2 Relativity and gravitational theory (83-XX)
1 History and biography (01-XX)
1 Algebraic geometry (14-XX)

Publications by Year

Citations contained in zbMATH Open

4,794 Publications have been cited 64,831 times in 47,880 Documents Cited by Year
Variable exponent, linear growth functionals in image restoration. Zbl 1102.49010
Chen, Yunmei; Levine, Stacey; Rao, Murali
702
2006
The nucleolus of a characteristic function game. Zbl 0191.49502
Schmeidler, D.
454
1969
Bounds on multiprocessing timing anomalies. Zbl 0188.23101
Graham, R. L.
380
1969
Synchronization of pulse-coupled biological oscillators. Zbl 0712.92006
Mirollo, Renato E.; Strogatz, Steven H.
292
1990
A separator theorem for planar graphs. Zbl 0432.05022
Lipton, Richard J.; Tarjan, Robert Endre
291
1979
Analysis of a model representing stage-structured population growth with state-dependent time delay. Zbl 0760.92018
Aiello, Walter G.; Freedman, H. I.; Wu, J.
284
1992
L-shaped linear programs with applications to optimal control and stochastic programming. Zbl 0197.45602
van Slyke, R. M.; Wets, Roger
281
1969
Nonlinear aspects of competition between three species. Zbl 0314.92008
May, Robert M.; Leonard, Warren J.
272
1975
Resurrection of “second order” models of traffic flow. Zbl 0957.35086
Aw, A.; Rascle, M.
259
2000
A stochastic differential equation SIS epidemic model. Zbl 1263.34068
Gray, A.; Greenhalgh, D.; Hu, L.; Mao, X.; Pan, J.
246
2011
Global analysis in a predator-prey system with nonmonotonic functional response. Zbl 0986.34045
Ruan, Shigui; Xiao, Dongmei
243
2001
Global stability for a class of predator-prey systems. Zbl 0832.34035
Hsu, Sze-Bi; Huang, Tzy-Wei
241
1995
An algorithmic approach to network location problems. II: The p-medians. Zbl 0432.90075
Kariv, O.; Hakimi, S. L.
229
1979
Propagation and its failure in coupled systems of discrete excitable cells. Zbl 0649.34019
Keener, James P.
226
1987
Uncertainty principles and signal recovery. Zbl 0689.42001
Donoho, David L.; Stark, Philip B.
218
1989
The rectilinear Steiner tree problem is NP-complete. Zbl 0396.05009
Garey, M. R.; Johnson, D. S.
215
1977
Spatial structures and periodic travelling waves in an integro- differential reaction-diffusion population model. Zbl 0723.92019
Britton, N. F.
208
1990
Spectral bound and reproduction number for infinite-dimensional population structure and time heterogeneity. Zbl 1191.47089
Thieme, Horst R.
205
2009
Aggregation, blowup, and collapse: the ABC’s of taxis in reinforced random walks. Zbl 0990.35128
Othmer, Hans G.; Stevens, Angela
204
1997
The method of virtual power in continuum mechanics. II: Microstructure. Zbl 0273.73061
Germain, P.
202
1973
A mathematical theory for single-nutrient competition in continuous cultures of micro-organisms. Zbl 0354.92033
Hsu, S. B.; Hubbell, S.; Waltman, P.
197
1977
Steiner minimal trees. Zbl 0159.22001
Gilbert, E. N.; Pollak, H. O.
195
1968
Dynamics of director fields. Zbl 0761.35063
Hunter, John K.; Saxton, Ralph
195
1991
Virus dynamics: a global analysis. Zbl 1035.34045
De Leenheer, Patrick; Smith, Hal L.
190
2003
An algorithmic approach to network location problems. I: The p-centers. Zbl 0432.90074
Kariv, O.; Hakimi, S. L.
188
1979
Swarming patterns in a two-dimensional kinematic model for biological groups. Zbl 1071.92048
Topaz, Chad M.; Bertozzi, Andrea L.
183
2004
Algorithms for finding global minimizers of image segmentation and denoising models. Zbl 1117.94002
Chan, Tony F.; Esedoḡlu, Selim; Nikolova, Mila
183
2006
Global attractivity in delayed Hopfield neural network models. Zbl 0917.34036
van den Driessche, P.; Zou, Xingfu
182
1998
A nonlinear singular boundary value problem in the theory of pseudoplastic fluids. Zbl 0453.76002
Nachman, A.; Callegari, A.
175
1980
On the interface boundary condition of Beavers, Joseph, and Saffman. Zbl 0969.76088
Jäger, Willi; Mikelic, Andro
172
2000
Stable orbits and bifurcation of maps of the interval. Zbl 0391.58014
Singer, David
170
1978
The approximation of fixed points of a continuous mapping. Zbl 0153.49401
Scarf, H.
168
1967
Boundary conditions for the numerical solution of elliptic equations in exterior regions. Zbl 0479.65056
Bayliss, Alvin; Gunzburger, Max; Turkel, Eli
156
1982
Large time behavior of solutions of systems of nonlinear reaction- diffusion equations. Zbl 0383.35035
Conway, Edward; Hoff, David; Smoller, Joel
153
1978
Periodic time-dependent predator-prey systems. Zbl 0348.34031
Cushing, J. M.
152
1977
Hermitian and nonnegative definite solutions of linear matrix equations. Zbl 0359.65033
Khatri, C. G.; Mitra, Sujit Kumar
152
1976
Conditions for positive and nonnegative definiteness in terms of pseudoinverses. Zbl 0265.15002
Albert, Arthur
152
1969
The diffusion limit of transport equations. II: Chemotaxis equations. Zbl 1103.35098
Othmer, Hans G.; Hillen, Thomas
151
2002
Boundary-layer flow near the trailing edge of a flat plate. Zbl 0195.27701
Messiter, A. F.
149
1970
Aspects of Total variation regularized \(L^1\) function approximation. Zbl 1096.94004
Chan, Tony F.; Esedoglu, Selim
140
2005
The diffusion limit of transport equations derived from velocity-jump processes. Zbl 1002.35120
Hillen, Thomas; Othmer, Hans G.
138
2000
An inverse Sturm-Liouville problem with mixed given data. Zbl 0418.34032
Hochstadt, Harry; Lieberman, Burton
137
1978
Global results for an epidemic model with vaccination that exhibits backward bifurcation. Zbl 1034.92025
Arino, Julien; McCluskey, C. Connell; van den Driessche, P.
137
2003
Euler’s elastica and curvature-based inpainting. Zbl 1028.68185
Chan, Tony F.; Kang, Sung Ha; Shen, Jianhong
135
2002
Edge dominating sets in graphs. Zbl 0455.05047
Yannakakis, M.; Gavril, F.
134
1980
Condorcet social choice functions. Zbl 0369.90002
Fishburn, Peter C.
133
1977
Bifurcation analysis of a mathematical model for malaria transmission. Zbl 1107.92047
Chitnis, Nakul; Cushing, J. M.; Hyman, J. M.
131
2006
Shorted operators. II. Zbl 0295.47032
Anderson, W. N. jun.; Trapp, G. E.
126
1975
Bifurcation analysis of a predator-prey system with nonmonotonic functional response. Zbl 1036.34049
Zhu, Huaiping; Campbell, Sue Ann; Wolkowicz, Gail S. K.
121
2002
Fast reaction, slow diffusion, and curve shortening. Zbl 0701.35012
Rubinstein, Jacob; Sternberg, Peter; Keller, Joseph B.
121
1989
Global dynamics of a mathematical model of competition in the chemostat: General response functions and differential death rates. Zbl 0739.92025
Wolkowicz, Gail S. K.; Lu, Zhiqi
117
1992
Existence and uniqueness for electrode models for electric current computed tomography. Zbl 0759.35055
Somersalo, Erkki; Cheney, Margaret; Isaacson, David
117
1992
Limiting behavior for competing species. Zbl 0381.92014
Hsu, S. B.
115
1978
The complexity of computing Steiner minimal trees. Zbl 0399.05023
Garey, M. R.; Graham, R. L.; Johnson, D. S.
113
1977
Cucker-Smale flocking under hierarchical leadership. Zbl 1311.92196
Shen, Jackie (Jianhong)
111
2008
Global dynamics of an SEIR epidemic model with vertical transmission. Zbl 0991.92029
Li, Michael Y.; Smith, Hal L.; Wang, Liancheng
110
2001
Regularity properties of flows through porous media. Zbl 0187.03401
Aronson, D. G.
108
1969
How may infection-age-dependent infectivity affect the dynamics of HIV/AIDS? Zbl 0811.92021
Thieme, Horst R.; Castillo-Chavez, Carlos
108
1993
On cone-efficiency, cone-convexity and cone-compactness. Zbl 0379.90005
Hartley, Roger
106
1978
Frobenius theory of positive operators: Comparison theorems and applications. Zbl 0219.47022
Marek, Ivo
106
1970
Lyapunov functionals for delay differential equations model of viral infections. Zbl 1209.92035
Huang, Gang; Takeuchi, Yasuhiro; Ma, Wanbiao
104
2010
Mathematical models for local nontexture inpaintings. Zbl 1050.68157
Chan, Tony F.; Shen, Jianhong
103
2002
Complexity results for bandwidth minimization. Zbl 0385.05048
Garey, M. R.; Graham, R. L.; Johnson, D. S.; Knuth, D. E.
102
1978
The quantum hydrodynamic model for semiconductor devices. Zbl 0815.35111
Gardner, Carl L.
102
1994
Applications of the Drazin inverse to linear systems of differential equations with singular constant coefficients. Zbl 0341.34001
Campbell, Stephen L.; Meyer, Carl D. jun.; Rose, Nicholas J.
101
1976
A mathematical model of the chemostat with a general class of functions describing nutrient uptake. Zbl 0569.92020
Butler, G. J.; Wolkowicz, G. S. K.
101
1985
Parabolic bursting in an excitable system coupled with a slow oscillation. Zbl 0594.58033
Ermentrout, G. B.; Kopell, N.
101
1986
Pseudospectra of the Orr-Sommerfeld operator. Zbl 0778.34060
Reddy, Satish C.; Schmid, Peter J.; Henningson, Dan S.
100
1993
Bifurcations of a ratio-dependent predator-prey system with constant rate harvesting. Zbl 1094.34024
Xiao, Dongmei; Jennings, Leslie Stephen
100
2005
Spectral properties of matrices which have invariant cones. Zbl 0186.05701
Vandergraft, J. S.
100
1968
A variational approach to removing multiplicative noise. Zbl 1151.68713
Aubert, Gilles; Aujol, Jean-François
100
2008
The theory of Max-Min, with applications. Zbl 0144.43301
Danskin, J. M.
99
1966
A mathematical model of the chemostat with periodic washout rate. Zbl 0584.92027
Butler, G. J.; Hsu, S. B.; Waltman, Paul
99
1985
Stability, bifurcation, and multistability in a system of two coupled neurons with multiple time delays. Zbl 0992.92013
Shayer, Leslie P.; Campbell, Sue Ann
99
2000
Social choice scoring functions. Zbl 0277.92007
Young, H. P.
98
1975
Stable coexistence states in the Volterra-Lotka competition model with diffusion. Zbl 0562.92012
Cosner, Chris; Lazer, A. C.
98
1984
Travelling waves in a suspension bridge. Zbl 0699.73038
McKenna, P. J.; Walter, W.
97
1990
Global stability of infectious disease models using Lyapunov functions. Zbl 1308.34072
Shuai, Zhisheng; van den Driessche, P.
96
2013
Multiple equilibria in complex chemical reaction networks. I: The injectivity property. Zbl 1094.80005
Craciun, Gheorghe; Feinberg, Martin
95
2005
A system of reaction diffusion equations arising in the theory of reinforced random walks. Zbl 0874.35047
Levine, Howard A.; Sleeman, Brian D.
94
1997
Competing predators. Zbl 0394.92025
Hsu, S. B.; Hubbell, S. P.; Waltman, Paul
94
1978
A consistent extension of Condorcet’s election principle. Zbl 0385.90010
Young, H. P.; Levenglick, A.
93
1978
Matrix quadratic solutions. Zbl 0144.02001
Potter, James E.
93
1966
Spatially structured activity in synaptically coupled neuronal networks. I: Traveling fronts and pulses. Zbl 1001.92021
Pinto, David J.; Ermentrout, G. Bard
90
2001
Dynamics of a predator-prey model. Zbl 0934.92027
Sáez, E.; González-Olivares, E.
89
1999
From individual to collective behavior in bacterial chemotaxis. Zbl 1073.35116
Erban, Radek; Othmer, Hans G.
89
2004
Global stability of a nonlinear viral infection model with infinitely distributed intracellular delays and CTL immune responses. Zbl 1272.92031
Shu, Hongying; Wang, Lin; Watmough, James
88
2013
Determining surface temperatures from interior observations. Zbl 0498.35084
Carasso, Alfred
88
1982
Multiple bumps in a neuronal model of working memory. Zbl 1017.45006
Laing, Carlo R.; Troy, William C.; Gutkin, Boris; Ermentrout, G. Bard
85
2002
Matrix equation \(XA+BX = C\). Zbl 0157.22603
Smith, R. A.
85
1968
The index and the Drazin inverse of block triangular matrices. Zbl 0355.15009
Meyer, Carl D. jun.; Rose, Nicholas J.
84
1977
Group-invariant solutions of differential equations. Zbl 0621.35007
Olver, Peter J.; Rosenau, Philip
84
1987
Multiscale models of taxis-driven patterning in bacterial populations. Zbl 1184.35308
Xue, Chuan; Othmer, Hans G.
84
2009
Self-focusing with fourth-order dispersion. Zbl 1003.35112
Fibich, Gadi; Ilan, Boaz; Papanicolaou, George
83
2002
A stage-structured predator-prey model of Beddington-DeAngelis type. Zbl 1110.34059
Liu, Shengqiang; Beretta, Edoardo
83
2006
Impact of intracellular delays and target-cell dynamics on in vivo viral infections. Zbl 1209.92037
Li, Michael Y.; Shu, Hongying
83
2010
The derivation of chemotaxis equations as limit dynamics of moderately interacting stochastic many-particle systems. Zbl 0963.60093
Stevens, Angela
83
2000
A nonlocal and time-delayed reaction-diffusion model of dengue transmission. Zbl 1228.35118
Wang, Wendi; Zhao, Xiao-Qiang
82
2011
Modeling HIV-1 virus dynamics with both virus-to-cell infection and cell-to-cell transmission. Zbl 1304.34139
Lai, Xiulan; Zou, Xingfu
82
2014
Existence of Turing instabilities in a two-species fractional reaction-diffusion system. Zbl 1103.35047
Henry, B. I.; Wearne, S. L.
81
2002
A spatiotemporal model for the effects of toxicants on populations in a polluted river. Zbl 1481.92187
Zhou, Peng; Huang, Qihua
3
2022
On geometrical properties of electromagnetic transmission eigenfunctions and artificial mirage. Zbl 1482.35149
Deng, Youjun; Liu, Hongyu; Wang, Xianchao; Wu, Wei
1
2022
Modeling and analysis of the implementation of the Wolbachia incompatible and sterile insect technique for mosquito population suppression. Zbl 1468.34074
Zheng, Bo; Yu, Jianshe; Li, Jia
5
2021
A fragmentation phenomenon for a nonenergetic optimal control problem: optimization of the total population size in logistic diffusive models. Zbl 1458.35425
Mazari, Idriss; Ruiz-Balet, Domènec
4
2021
Controlling propagation of epidemics via mean-field control. Zbl 1458.92075
Lee, Wonjun; Liu, Siting; Tembine, Hamidou; Li, Wuchen; Osher, Stanley
4
2021
Ideal free dispersal under general spatial heterogeneity and time periodicity. Zbl 1468.35210
Cantrell, Robert Stephen; Cosner, Chris; Lam, King-Yeung
4
2021
Modeling the emergence of phenotypic heterogeneity in vascularized tumors. Zbl 1464.35382
Villa, Chiara; Chaplain, Mark A.; Lorenzi, Tommaso
3
2021
Inverse random source scattering for the Helmholtz equation with attenuation. Zbl 1465.78003
Li, Peijun; Wang, Xu
3
2021
How reaction-diffusion PDEs approximate the large-population limit of stochastic particle models. Zbl 07450615
Isaacson, Samuel A.; Ma, Jingwei; Spiliopoulos, Konstantinos
3
2021
Reconstruction of the emission coefficient in the nonlinear radiative transfer equation. Zbl 1458.35479
Klingenberg, Christian; Lai, Ru-Yu; Li, Qin
2
2021
The inviscid limit of third-order linear and nonlinear acoustic equations. Zbl 1475.35282
Kaltenbacher, Barbara; Nikolić, Vanja
2
2021
Recruitment dynamics of social insect colonies. Zbl 1470.92400
Feng, Tao; Qiu, Zhipeng; Kang, Yun
2
2021
Model for heterogeneous diffusion. Zbl 1467.35315
Kim, Yong-Jung; Seo, Hyowon
2
2021
A homogenized model for a reactive filter. Zbl 07347363
Kiradjiev, Kristian B.; Breward, Christopher J.; Griffiths, Ian; Schwendeman, Donald W.
2
2021
Mathematical analysis of a three-tiered model of anaerobic digestion. Zbl 1471.34095
Nouaoura, Sarra; Abdellatif, Nahla; Fekih-Salem, Radhouane; Sari, Tewfik
2
2021
Stochastic models of neural synaptic plasticity. Zbl 1471.92032
Robert, Philippe; Vignoud, Gaëtan
1
2021
Epidemic models with varying infectivity. Zbl 1471.92307
Forien, Raphaël; Pang, Guodong; Pardoux, Étienne
1
2021
Linear Lavrent’ev integral equation for the numerical solution of a nonlinear coefficient inverse problem. Zbl 1483.65150
Klibanov, Michael V.; Li, Jingzhi; Zhang, Wenlong
1
2021
Maximizing the electromagnetic chirality of thin dielectric tubes. Zbl 1478.78071
Arens, Tilo; Griesmaier, Roland; Knöller, Marvin
1
2021
Opinion dynamics on discourse sheaves. Zbl 1471.91394
Hansen, Jakob; Ghrist, Robert
1
2021
Direct flux gradient approximation to moment closure of kinetic equations. Zbl 07407710
Li, Ruo; Li, Weiming; Zheng, Lingchao
1
2021
Extinction and quasi-stationarity for discrete-time, endemic SIS and SIR models. Zbl 1471.92346
Schreiber, Sebastian J.; Huang, Shuo; Jiang, Jifa; Wang, Hao
1
2021
A surprising observation in the quarter-plane diffraction problem. Zbl 1461.30090
Assier, Raphael C.; Abrahams, I. David
1
2021
Existence and dynamics of strains in a nonlocal reaction-diffusion model of viral evolution. Zbl 1458.35417
Bessonov, Nikolai; Bocharov, Gennady; Meyerhans, Andreas; Popov, Vladimir; Volpert, Vitaly
1
2021
A next-generation mathematical model for drug-eluting stents. Zbl 1471.74055
Čanić, Sunčica; Wang, Yifan; Bukač, Martina
1
2021
Persistence and spread of solutions in a two-species Lotka-Volterra competition-diffusion model with a shifting habitat. Zbl 1470.92237
Dong, Fang-Di; Shang, Jin; Fagan, William; Li, Bingtuan
1
2021
Autocatalytic networks: an intimate relation between network topology and dynamics. Zbl 1471.92126
Joshi, Badal; Craciun, Gheorghe
1
2021
Modified Poisson-Nernst-Planck model with Coulomb and hard-sphere correlations. Zbl 07385392
Ma, Manman; Xu, Zhenli; Zhang, Liwei
1
2021
A nonlinear transient reaction-diffusion problem from electroanalytical chemistry. Zbl 1461.35024
Vynnycky, Michael; McKee, Sean; Bieniasz, Lesław
1
2021
Spectrum decomposition of translation operators in periodic waveguide. Zbl 1461.35178
Zhang, Ruming
1
2021
Joint state-parameter estimation for tumor growth model. Zbl 07340171
Collin, Annabelle; Kritter, Thibaut; Poignard, Clair; Saut, Olivier
1
2021
An asymptotic analysis of localized three-dimensional spot patterns for the Gierer-Meinhardt model: existence, linear stability, and slow dynamics. Zbl 1462.35031
Gomez, Daniel; Ward, Michael J.; Wei, Juncheng
1
2021
Theorems on the Stokesian hydrodynamics of a rigid filament in the limit of vanishing radius. Zbl 1464.76024
Gonzalez, Oscar
1
2021
Asymptotic reduction of a lithium-ion pouch cell model. Zbl 1462.78019
Timms, Robert; Marquis, Scott G.; Sulzer, Valentin; Please, Colin P.; Chapman, S. Jonathan
1
2021
Simulation of localized surface plasmon resonances in two dimensions via impedance-impedance operators. Zbl 1482.65221
Nicholls, David P.; Tong, Xin
1
2021
Stochastic methods for neutron transport equation. III: Generational many-to-one and \(k_{\text{\texttt{eff}}}\). Zbl 1467.82108
Cox, Alexander M.; Horton, Emma; Kyprianou, Andreas E.; Villemonais, Denis
1
2021
Surface localization of plasmons in three dimensions and convexity. Zbl 1466.45010
Ando, Kazunori; Kang, Hyeonbae; Miyanishi, Yoshihisa; Nakazawa, Takashi
1
2021
Boundary value problem on a weighted graph relevant to the static analysis of truss structures. Zbl 1468.74032
Kodsi, Costy; Jivkov, Andrey P.
1
2021
Detecting a prey in a spider orb-web from in-plane vibration. Zbl 1478.35239
Kawano, Alexandre; Morassi, Antonino; Zaera, Ramón
1
2021
Viscous Marangoni flow driven by insoluble surfactant and the complex Burgers equation. Zbl 1482.30102
Crowdy, Darren G.
1
2021
Mean field analysis of neural networks: a law of large numbers. Zbl 1440.60008
Sirignano, Justin; Spiliopoulos, Konstantinos
13
2020
Long-term analysis of a stochastic SIRS model with general incidence rates. Zbl 1437.34061
Nguyen, Dang Hai; Yin, George; Zhu, Chao
12
2020
A mathematical theory for Fano resonance in a periodic array of narrow slits. Zbl 1448.35098
Lin, Junshan; Shipman, Stephen P.; Zhang, Hai
7
2020
Phase transitions and bump solutions of the Keller-Segel model with volume exclusion. Zbl 1475.35036
Carrillo, Jose A.; Chen, Xinfu; Wang, Qi; Wang, Zhian; Zhang, Lu
7
2020
Analysis of a trace class Stekloff eigenvalue problem arising in inverse scattering. Zbl 1436.35121
Cogar, Samuel
7
2020
Sharp-interface model for simulating solid-state dewetting in three dimensions. Zbl 1440.74153
Jiang, Wei; Zhao, Quan; Bao, Weizhu
6
2020
A nonlinear hyperbolic model for radiative transfer equation in slab geometry. Zbl 1455.35247
Fan, Yuwei; Li, Ruo; Zheng, Lingchao
6
2020
An efficient characterization of complex-balanced, detailed-balanced, and weakly reversible systems. Zbl 1436.37097
Craciun, Gheorghe; Jin, Jiaxin; Yu, Polly Y.
6
2020
Nonlocal adhesion models for microorganisms on bounded domains. Zbl 1433.92012
Hillen, Thomas; Buttenschön, Andreas
6
2020
Analysis of propagation for impulsive reaction-diffusion models. Zbl 1432.92105
Fazly, Mostafa; Lewis, Mark; Wang, Hao
6
2020
Linearized inverse Schrödinger potential problem at a large wavenumber. Zbl 1430.35267
Isakov, Victor; Lu, Shuai; Xu, Boxi
5
2020
Sparse principal component analysis via variable projection. Zbl 1440.62231
Erichson, N. Benjamin; Zheng, Peng; Manohar, Krithika; Brunton, Steven L.; Kutz, J. Nathan; Aravkin, Aleksandr Y.
5
2020
Asymptotic profiles of basic reproduction number for epidemic spreading in heterogeneous environment. Zbl 1442.35467
Chen, Shanshan; Shi, Junping
5
2020
Degenerate period adding bifurcation structure of one-dimensional bimodal piecewise linear maps. Zbl 1444.37035
Segura, Juan; Hilker, Frank M.; Franco, Daniel
4
2020
Weakly nonlinear theory for oscillatory dynamics in a one-dimensional PDE-ODE model of membrane dynamics coupled by a bulk diffusion field. Zbl 1446.37071
Paquin-Lefebvre, Frédéric; Nagata, Wayne; Ward, Michael J.
4
2020
Micro-macro limit of a nonlocal generalized Aw-Rascle type model. Zbl 1445.35244
Chiarello, Felisia A.; Friedrich, Jan; Goatin, Paola; Göttlich, Simone
4
2020
Interacting particles with Lévy strategies: limits of transport equations for swarm robotic systems. Zbl 1437.93091
Estrada-Rodriguez, Gissell; Gimperlein, Heiko
4
2020
On the evolution of the vortex filament equation for regular \(M\)-polygons with nonzero torsion. Zbl 1434.65201
de la Hoz, Francisco; Kumar, Sandeep; Vega, Luis
4
2020
Kinetic foundation of the zero-inflated negative binomial model for single-cell RNA sequencing data. Zbl 1447.92182
Jia, Chen
3
2020
A reduced study for nematic equilibria on two-dimensional polygons. Zbl 1446.35204
Han, Yucen; Majumdar, Apala; Zhang, Lei
3
2020
Bifurcation analysis of a generalized impulsive Kolmogorov model with applications to pest and disease control. Zbl 1448.92392
Zhang, Qianqian; Tang, Biao; Cheng, Tianyu; Tang, Sanyi
3
2020
Optimal depth-dependent distinguishability bounds for electrical impedance tomography in arbitrary dimension. Zbl 1442.35278
Garde, Henrik; Hyvönen, Nuutti
3
2020
Effective permeability of a gap junction with age-structured switching. Zbl 1431.92041
Bressloff, Paul C.; Lawley, Sean D.; Murphy, Patrick
3
2020
Colloidal transport in locally periodic evolving porous media – an upscaling exercise. Zbl 1435.35038
Muntean, Adrian; Nikolopoulos, Christos
3
2020
Hypocoercivity properties of adaptive Langevin dynamics. Zbl 1434.60236
Leimkuhler, Benedict; Sachs, Matthias; Stoltz, Gabriel
3
2020
Transient dynamics of a stoichiometric cyanobacteria model via multiple-scale analysis. Zbl 1443.92153
Heggerud, Christopher M.; Wang, Hao; Lewis, Mark A.
3
2020
PDE models of adder mechanisms in cellular proliferation. Zbl 07212798
Xia, Mingtao; Greenman, Chris D.; Chou, Tom
2
2020
Control-theoretic models of environmental crime. Zbl 1441.49033
Cartee, Elliot; Vladimirsky, Alexander
2
2020
A delayed succession model with diffusion for the impact of diapause on population growth. Zbl 1443.35073
Bai, Zhenguo; Lou, Yijun; Zhao, Xiao-Qiang
2
2020
Variational phase field formulations of polarization and phase transition in ferroelectric thin films. Zbl 1447.78019
Du, Qiang; Li, Ruotai; Zhang, Lei
2
2020
Minimization of the first nonzero eigenvalue problem for two-phase conductors with Neumann boundary conditions. Zbl 1443.49053
Kang, Di; Choi, Patrick; Kao, Chiu-Yen
2
2020
Analysis of a Sugimoto model of nonlinear acoustics in an array of Helmholtz resonators. Zbl 1444.35113
Junca, Stéphane; Lombard, Bruno
2
2020
How does dispersal affect the infection size? Zbl 1453.92297
Gao, Daozhou
2
2020
Adaptation in general temporally changing environments. Zbl 1454.35400
Roques, Lionel; Patout, Florian; Bonnefon, Olivier; Martin, Guillaume
2
2020
Longitudinal thermocapillary flow over a dense bubble mattress. Zbl 1427.76057
Yariv, Ehud; Crowdy, Darren
2
2020
Stability analysis of quadrature-based moment methods for kinetic equations. Zbl 1432.35159
Huang, Qian; Li, Shuiqing; Yong, Wen-An
2
2020
Stability for the acoustic inverse source problem in inhomogeneous media. Zbl 1462.35466
Li, Peijun; Zhai, Jian; Zhao, Yue
2
2020
Selection of a Hele-Shaw bubble via exponential asymptotics. Zbl 1430.76153
Lustri, Christopher J.; Green, Christopher C.; McCue, Scott W.
2
2020
A partial differential equation for the mean-return-time phase of planar stochastic oscillators. Zbl 1435.60042
Cao, Alexander; Lindner, Benjamin; Thomas, Peter J.
2
2020
A mathematical framework for developing freezing protocols in the cryopreservation of cells. Zbl 1437.80003
Dalwadi, Mohit P.; Waters, Sarah L.; Byrne, Helen M.; Hewitt, Ian J.
2
2020
A two-dimensional electrostatic model of interdigitated comb drive in longitudinal mode. Zbl 1436.35123
Gaudiello, Antonio; Lenczner, Michel
2
2020
Modeling and analysis of an absorption column connected to a microalgae culture. Zbl 1437.34060
Martinez, Carlos; Ávila, Andrés; Mairet, Francis; Meier, Leslie; Jeison, David
2
2020
On a network model of two competitors with applications to the invasion and competition of Aedes albopictus and Aedes aegypti mosquitoes in the United States. Zbl 1439.35495
Liu, Zuhan; Tian, Canrong; Ruan, Shigui
2
2020
An extended charge-current formulation of the electromagnetic transmission problem. Zbl 1436.31018
Helsing, Johan; Karlsson, Anders
2
2020
Behavior near walls in the mean-field approach to crowd dynamics. Zbl 1439.49071
Aurell, Alexander; Djehiche, Boualem
2
2020
Generalized \(K\)-core percolation in networks with community structure. Zbl 1444.91179
Shang, Yilun
1
2020
Inclusions of general shapes having constant field inside the core and nonelliptical neutral coated inclusions with anisotropic conductivity. Zbl 1447.35318
Lim, Mikyoung; Milton, Graeme W.
1
2020
A method to deal with the critical case in stochastic population dynamics. Zbl 1447.92357
Nguyen, Dang H.; Strickler, Edouard
1
2020
(In)stability of travelling waves in a model of haptotaxis. Zbl 1443.35013
Harley, Kristen E.; van Heijster, Peter; Marangell, Robert; Pettet, Graeme J.; Roberts, Timothy V.; Wechselberger, Martin
1
2020
A Holling predator-prey model with handling and searching predators. Zbl 1450.34033
Hsu, Sze-Bi; Liu, Zhihua; Magal, Pierre
1
2020
A model for optimal human navigation with stochastic effects. Zbl 1446.49023
Parkinson, Christian; Arnold, David; Bertozzi, Andrea; Osher, Stanley
1
2020
On the microscopic modeling of vehicular traffic on general networks. Zbl 1448.90034
Colombo, Rinaldo M.; Holden, Helge; Marcellini, Francesca
1
2020
Reversal potential and reversal permanent charge with unequal diffusion coefficients via classical Poisson-Nernst-Planck models. Zbl 1454.34084
Mofidi, Hamid; Liu, Weishi
1
2020
Weakly reversible mass-action systems with infinitely many positive steady states. Zbl 1453.34068
Boros, Balázs; Craciun, Gheorghe; Yu, Polly Y.
1
2020
Mathematical and numerical analysis of the generalized complex-frequency eigenvalue problem for two-dimensional optical microcavities. Zbl 1452.65318
Spiridonov, Alexander O.; Oktyabrskaya, Alina; Karchevskii, Evgenii M.; Nosich, Alexander I.
1
2020
Interaction of multiple plane straight fractures in the presence of the Steigmann-Ogden surface energy. Zbl 1448.74094
Zemlyanova, Anna Y.
1
2020
Jump relations of certain hypersingular Stokes kernels on regular surfaces. Zbl 1452.31008
Fikl, Alexandru; Bodony, Daniel J.
1
2020
A new formulation of coupling and sliding motions of grain boundaries based on dislocation structure. Zbl 07282654
Zhang, Luchan; Xiang, Yang
1
2020
Amplitude blowup in radial isentropic Euler flow. Zbl 1456.35046
Jenssen, Helge Kristian; Tsikkou, Charis
1
2020
The deformation and stability of an elastic cell in a uniform flow. Zbl 1457.74060
Yorkston, Adam A.; Blyth, Mark G.; Părău, Emilian I.
1
2020
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Cited by 47,419 Authors

129 Chen, Lansun
100 Ammari, Habib M.
87 Ruan, Shigui
80 Jiang, Daqing
79 Teng, Zhi-dong
76 Ha, Seung-Yeal
70 Ward, Michael J.
69 Zhao, Xiao-Qiang
67 Agarwal, Ravi P.
66 Li, Wan-Tong
64 Shi, Junping
62 Carrillo de la Plata, José Antonio
61 Elaiw, Ahmed M.
61 Wei, Junjie
60 Wu, Jianhong
58 Xu, Rui
56 Wei, Juncheng
54 Takeuchi, Yasuhiro
53 Li, Xuezhi
53 Song, Xinyu
53 Wang, Wendi
49 Cao, Jinde
49 Dehghan Takht Fooladi, Mehdi
49 Klibanov, Michael V.
49 Liu, Hongyu
49 Yuan, Sanling
48 Bellomo, Nicola
47 Li, Peijun
47 Zou, Xingfu
46 Lou, Yuan
46 Wei, Yimin
45 Jin, Zhen
45 Yuan, Rong
44 Bertozzi, Andrea Louise
44 Herty, Michael Matthias
44 Wu, Jianhua
43 Garnier, Josselin
43 Hsu, Szebi
43 Meng, Xinzhu
43 Wang, Feng-Bin
42 Bürger, Raimund
42 Liu, Shengqiang
42 Ma, Wanbiao
42 Wang, Jinliang
42 Wang, Zhian
42 Yin, Gang George
41 Bressloff, Paul C.
41 Martcheva, Maia
41 Perthame, Benoît
41 Qiu, Zhipeng
41 Tang, Sanyi
40 Chaplain, Mark A. J.
40 Hayat, Tasawar
40 Jiang, Jifa
40 Knessl, Charles
40 van den Driessche, Pauline
39 Bal, Guillaume
39 Guo, Shangjiang
39 Hsu, Cheng-Hsiung
39 Kang, Hyeonbae
39 O’Regan, Donal
38 Fu, Chuli
38 Huang, Lihong
38 Llibre, Jaume
38 Zhang, Qihu
37 Degond, Pierre
37 Kuang, Yang
37 Nie, Hua
37 Yang, Chuanfu
37 Yu, Jian-She
37 Zhang, Tonghua
37 Zhu, Huaiping
36 Bao, Weizhu
36 Pao, Chia-Ven
36 Wang, Weiming
36 Webb, Glenn Francis
36 Zumbrun, Kevin R.
35 Cai, Liming
35 Chen, Yuming
35 Du, Qiang
35 Göttlich, Simone
35 Matkowsky, Bernard J.
35 Nazarov, Sergeĭ Aleksandrovich
35 Rong, Libin
35 Tian, Yongge
35 Volpert, Vitaly A.
34 Bao, Gang
34 Rădulescu, Vicenţiu D.
34 Xiao, Yanni
34 Yin, George Gang
33 Peng, Rui
33 Sherratt, Jonathan A.
33 Song, Yongli
33 Thieme, Horst R.
32 Klar, Axel
32 Smith, Hal Leslie
31 Feng, Zhilan
31 Kuniya, Toshikazu
31 Laurençot, Philippe
31 Wang, Lin
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Cited in 1,175 Journals

1,661 Journal of Mathematical Analysis and Applications
1,144 Journal of Differential Equations
1,094 Applied Mathematics and Computation
904 Journal of Computational Physics
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525 Mathematical Biosciences
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496 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
473 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
460 Journal of Mathematical Physics
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431 Discrete and Continuous Dynamical Systems. Series B
425 Chaos, Solitons and Fractals
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358 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
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251 SIAM Journal on Mathematical Analysis
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184 Numerische Mathematik
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177 Mathematical Programming
174 Studies in Applied Mathematics
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168 Annals of Operations Research
164 Transactions of the American Mathematical Society
163 Acta Applicandae Mathematicae
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156 Proceedings of the American Mathematical Society
155 Mathematics and Computers in Simulation
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154 Operations Research Letters
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149 Mathematical Problems in Engineering
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135 Stochastic Processes and their Applications
135 Calculus of Variations and Partial Differential Equations
134 Boundary Value Problems
133 Journal de Mathématiques Pures et Appliquées. Neuvième Série
132 Journal of Mathematical Chemistry
130 Journal of the Mechanics and Physics of Solids
128 Communications in Statistics. Theory and Methods
128 SIAM Journal on Scientific Computing
127 International Journal of Game Theory
126 Nonlinearity
126 Journal of Elasticity
125 Algorithmica
123 International Journal of Control
123 Acta Mathematicae Applicatae Sinica. English Series
123 Multiscale Modeling & Simulation
121 Journal of Combinatorial Theory. Series A
119 Communications on Pure and Applied Analysis
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