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Mathematical Biosciences

Short Title: Math. Biosci.
Publisher: Elsevier, New York, NY
ISSN: 0025-5564
Online: http://www.sciencedirect.com/science/journal/00255564
Comments: Journal; Indexed cover-to-cover
Documents Indexed: 4,472 Publications (since 1967)
References Indexed: 4,388 Publications with 129,556 References.
all top 5

Authors

39 Mode, Charles J.
28 Voit, Eberhard Otto
20 Feng, Zhilan
20 van den Driessche, Pauline
19 Jacquez, John A.
19 Yakovlev, Andrej Yu.
18 Ball, Frank G.
18 Becker, Niels G.
18 Bellman, Richard Ernest
18 Castillo-Chavez, Carlos
18 Distefano, Joseph J. III
18 Freedman, Herbert Irving
16 Chappell, Michael J.
16 Perelson, Alan S.
16 Pollak, Edward
15 Cobelli, Claudio
15 Colli Franzone, Piero
15 Hethcote, Herbert W.
15 Kimmel, Marek
14 Allen, Linda J. S.
14 Dietz, Klaus
14 King, John Robert
14 Pickard, William F.
14 Ruan, Shigui
13 Godfrey, Keith R.
13 Gumel, Abba B.
13 Kuang, Yang
13 Takeuchi, Yasuhiro
13 Zheng, Qi
12 Chase, J. Geoffrey
12 Eisenfeld, Jerome
12 Hanin, Leonid G.
12 Kooi, Bob W.
12 Layton, Anita T.
11 Kuznetsov, Andrey V.
11 Martcheva, Maia
11 Müller, Johannes
11 Savageau, Michael A.
11 Steel, Michael Anthony
11 Vasudevan, Ramabhadra
11 Waltman, Paul Elvis
10 Britton, Tom
10 DeAngelis, Donald L.
10 Greenhalgh, David
10 Hadeler, Karl-Peter
10 Johnston, Peter Rex
10 Maini, Philip Kumar
10 May, Robert McCredie
10 Moolgavkar, Suresh H.
10 Sorribas, Albert
10 Tan, Wai-Yuan
10 Tveito, Aslak
10 Ueno, Sueo
10 Wu, Jianhong
10 Yakubu, Abdul-Aziz
10 Zhu, Huaiping
9 Demetrius, Lloyd A.
9 Engen, Steinar
9 Evans, Neil D.
9 Gyllenberg, Mats
9 Kopp-Schneider, Annette
9 Levin, Simon Asher
9 MacDonald, Norman
9 Milner, Fabio Augusto
9 Shiraishi, Fumihide
8 Auger, Pierre M.
8 Brandeau, Margaret L.
8 Byrne, Helen Mary
8 Chattopadhyay, Joydev
8 Chiang, Chin Long
8 Cosner, Chris
8 Diekmann, Odo
8 Fan, Meng
8 Gandolfi, Alberto
8 Gopalsamy, Kondalsamy
8 Hearon, John Z.
8 Lange, Kenneth L.
8 Lefkovitch, L. P.
8 Li, Jia
8 Luebeck, E. Georg
8 Pakes, Anthony G.
8 Pavarino, Luca Franco
8 Pavlou, Stavros
8 Rosen, Gerald
8 Ross, Joshua V.
8 Taccardi, Bruno
8 Webb, Glenn Francis
8 Xiao, Yanni
7 Androulakis, Ioannis P.
7 Bell, Jonathan
7 Brauer, Fred
7 Chauvet, Gilbert A.
7 Clancy, Damian
7 Delforge, Jacques
7 Docherty, Paul D.
7 Esteva, Lourdes
7 Guerri, Luciano
7 Hyman, James M.
7 Jean, Roger V.
7 Komarova, Natalia L.
...and 6,546 more Authors
all top 5

Fields

4,192 Biology and other natural sciences (92-XX)
582 Probability theory and stochastic processes (60-XX)
554 Ordinary differential equations (34-XX)
402 Statistics (62-XX)
386 Systems theory; control (93-XX)
348 Numerical analysis (65-XX)
301 Partial differential equations (35-XX)
270 Dynamical systems and ergodic theory (37-XX)
198 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
105 Calculus of variations and optimal control; optimization (49-XX)
86 Computer science (68-XX)
82 Fluid mechanics (76-XX)
78 Combinatorics (05-XX)
71 Integral equations (45-XX)
69 Operations research, mathematical programming (90-XX)
54 Difference and functional equations (39-XX)
48 Linear and multilinear algebra; matrix theory (15-XX)
41 Optics, electromagnetic theory (78-XX)
36 Classical thermodynamics, heat transfer (80-XX)
36 Information and communication theory, circuits (94-XX)
30 Mechanics of deformable solids (74-XX)
18 General and overarching topics; collections (00-XX)
15 Operator theory (47-XX)
12 History and biography (01-XX)
11 Statistical mechanics, structure of matter (82-XX)
8 Mathematical logic and foundations (03-XX)
7 Approximations and expansions (41-XX)
7 Integral transforms, operational calculus (44-XX)
5 General topology (54-XX)
5 Mechanics of particles and systems (70-XX)
4 Order, lattices, ordered algebraic structures (06-XX)
4 Number theory (11-XX)
4 Nonassociative rings and algebras (17-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
3 Commutative algebra (13-XX)
3 Topological groups, Lie groups (22-XX)
3 Functional analysis (46-XX)
3 Differential geometry (53-XX)
3 Global analysis, analysis on manifolds (58-XX)
2 Field theory and polynomials (12-XX)
2 Real functions (26-XX)
2 Functions of a complex variable (30-XX)
2 Manifolds and cell complexes (57-XX)
2 Geophysics (86-XX)
1 Measure and integration (28-XX)
1 Special functions (33-XX)
1 Geometry (51-XX)
1 Quantum theory (81-XX)

Publications by Year

Citations contained in zbMATH Open

3,406 Publications have been cited 45,154 times in 24,401 Documents Cited by Year
Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission. Zbl 1015.92036
van den Driessche, P.; Watmough, James
2002
Evolutionarily stable strategies and game dynamics. Zbl 0395.90118
Taylor, Peter D.; Jonker, Leo B.
571
1978
A generalization of the Kermack-McKendrick deterministic epidemic model. Zbl 0398.92026
Capasso, Vincenzo; Serio, Gabriella
545
1978
Dynamics of HIV infection of CD4\(^ +\) T cells. Zbl 0796.92016
Perelson, Alan S.; Kirschner, Denise E.; de Boer, Rob
367
1993
A delay-differential equation model of HIV infection of \(\text{CD}4^+\) T-cells. Zbl 0981.92009
Culshaw, Rebecca V.; Ruan, Shigui
320
2000
A time-delay model of single-species growth with stage structure. Zbl 0719.92017
Aiello, Walter G.; Freedman, H. I.
316
1990
A deterministic model for gonorrhea in a nonhomogeneous population. Zbl 0344.92016
Lajmanovich, Ana; Yorke, James A.
309
1976
Qualitative analyses of communicable disease models. Zbl 0326.92017
Hethcote, Herbert W.
263
1976
Global dynamics of a SEIR model with varying total population size. Zbl 0974.92029
Li, Michael Y.; Graef, John R.; Wang, Liancheng; Karsai, János
250
1999
Global analysis of an epidemic model with nonmonotone incidence rate. Zbl 1119.92042
Xiao, Dongmei; Ruan, Shigui
246
2007
Persistence in models of three interacting predator-prey populations. Zbl 0534.92026
Freedman, H. I.; Waltman, Paul
246
1984
Modeling and analysis of a predator-prey model with disease in the prey. Zbl 0978.92031
Xiao, Yanni; Chen, Lansun
246
2001
On the diffusion of biological populations. Zbl 0362.92007
Gurtin, Morton E.; MacCamy, Richard C.
228
1977
Global stability for the SEIR model in epidemiology. Zbl 0821.92022
Li, Michael Y.; Muldowney, James S.
224
1995
Mathematical analysis of delay differential equation models of HIV-1 infection. Zbl 0992.92035
Nelson, Patrick W.; Perelson, Alan S.
200
2002
A model of HIV-1 pathogenesis that includes an intracellular delay. Zbl 0942.92017
Nelson, Patrick W.; Murray, James D.; Perelson, Alan S.
187
2000
Growth of nonnecrotic tumors in the presence and absence of inhibitors. Zbl 0836.92011
Byrne, H. M.; Chaplain, M. A. J.
180
1995
Uniqueness of limit cycles in Gause-type models of predator-prey systems. Zbl 0642.92016
Kuang, Yang; Freedman, H. I.
178
1988
A simple vaccination model with multiple endemic states. Zbl 0954.92023
Kribs-Zaleta, Christopher M.; Velasco-Hernández, Jorge X.
175
2000
An epidemic model in a patchy environment. Zbl 1048.92030
Wang, Wendi; Zhao, Xiao-Qiang
173
2004
Analysis of a dengue disease transmission model. Zbl 0930.92020
Esteva, Lourdes; Vargas, Cristobal
170
1998
Spreading speeds as slowest wave speeds for cooperative systems. Zbl 1075.92043
Li, Bingtuan; Weinberger, Hans F.; Lewis, Mark A.
170
2005
Backward bifurcation of an epidemic model with treatment. Zbl 1093.92054
Wang, Wendi
167
2006
Permanence and the dynamics of biological systems. Zbl 0783.92002
Hutson, Vivian; Schmitt, Klaus
162
1992
Stability properties of pulse vaccination strategy in SEIR epidemic model. Zbl 0991.92025
d’Onofrio, Alberto
162
2002
Mathematical analysis of the global dynamics of a model for HIV infection of CD4\(^{+}\) T cells. Zbl 1086.92035
Wang, Liancheng; Li, Michael Y.
161
2006
Nonlinear aspects of chemotaxis. Zbl 0481.92010
Childress, S.; Percus, J. K.
159
1981
Biological growth and spread modeled by systems of recursions. I: Mathematical theory. Zbl 0706.92014
Lui, Roger
155
1989
Optimal harvesting and stability for two-species competitive system with stage structure. Zbl 1028.34049
Song, Xinyu; Chen, Lansun
152
2001
Uniform persistence and permanence for non-autonomous semiflows in population biology. Zbl 0970.37061
Thieme, Horst R.
150
2000
Backward bifurcations in dengue transmission dynamics. Zbl 1156.92036
Garba, S. M.; Gumel, A. B.; Bakar, M. R. Abu
145
2008
Growth of necrotic tumors in the presence and absence of inhibitors. Zbl 0856.92010
Byrne, H. M.; Chaplain, M. A. J.
140
1996
The differential infectivity and staged progression models for the transmission of HIV. Zbl 0942.92030
Hyman, James M.; Li, Jia; Stanley, E. Ann
138
1999
Global stability and persistence of simple food chains. Zbl 0572.92025
Freedman, H. I.; So, J. W.-H.
133
1985
Effects of quarantine in six endemic models for infectious diseases. Zbl 1019.92030
Hethcote, Herbert; Zhien, Ma; Shengbing, Liao
129
2002
Modeling and analyzing HIV transmission: The effect of contact patterns. Zbl 0686.92016
Jacquez, John A.; Simon, Carl P.; Koopman, James; Sattenspiel, Lisa; Perry, Timothy
126
1988
Influence of delayed viral production on viral dynamics in HIV-1 infected patients. Zbl 0946.92011
Mittler, John E.; Sulzer, Bernhard; Neumann, Avidan U.; Perelson, Alan S.
119
1998
Discrete-time growth-dispersal models. Zbl 0595.92011
Kot, Mark; Schaffer, William M.
119
1986
Comparison of phylogenetic trees. Zbl 0451.92006
Robinson, D. F.; Foulds, L. R.
118
1981
Spreading disease: Integro-differential equations old and new. Zbl 1036.92030
Medlock, Jan; Kot, Mark
118
2003
Stochastic epidemic models: a survey. Zbl 1188.92031
Britton, Tom
117
2010
The dynamics of an infectious disease in a population with birth pulses. Zbl 0928.92027
Roberts, M. G.; Kao, R. R.
116
1998
Speeds of invasion in a model with strong or weak Allee effects. Zbl 0978.92033
Wang, Mei-Hui; Kot, Mark
116
2001
Mathematical analysis of some three-species food-chain models. Zbl 0363.92022
Freedman, H. I.; Waltman, Paul
116
1977
Some discrete-time SI, SIR, and SIS epidemic models. Zbl 0807.92022
Allen, Linda J. S.
112
1994
Comparison of deterministic and stochastic SIS and SIR models in discrete time. Zbl 0978.92024
Allen, Linda J. S.; Burgin, Amy M.
110
2000
Backward bifurcation in epidemic control. Zbl 0904.92031
Hadeler, K. P.; van den Driessche, P.
109
1997
Predator-prey dynamics in models of prey dispersal in two-patch environments. Zbl 0793.92014
Kuang, Yang; Takeuchi, Yasuhiro
108
1994
The stage-structured predator-prey model and optimal harvesting policy. Zbl 0961.92037
Zhang, Xinan; Chen, Lansun; Neumann, Avidan U.
106
2000
Some equations modelling growth processes and gonorrhea epidemics. Zbl 0251.92011
Cooke, Kenneth L.; Yorke, James A.
106
1973
On global stability of a predator-prey system. Zbl 0383.92014
Hsu, S. B.
104
1978
Global stability of an SIR epidemic model with information dependent vaccination. Zbl 1152.92019
Buonomo, Bruno; d’Onofrio, Alberto; Lacitignola, Deborah
103
2008
Global stability for cholera epidemic models. Zbl 1217.92068
Tian, Jianjun Paul; Wang, Jin
102
2011
Influence of stochastic perturbation on prey-predator systems. Zbl 1124.92055
Rudnicki, Ryszard; Pichór, Katarzyna
99
2007
Models for transmission of disease with immigration of infectives. Zbl 0995.92041
Brauer, Fred; van den Driessche, P.
99
2001
Propagation of HBV with spatial dependence. Zbl 1129.92052
Wang, Kaifa; Wang, Wendi
97
2007
Effect of media-induced social distancing on disease transmission in a two patch setting. Zbl 1211.92051
Sun, Chengjun; Yang, Wei; Arino, Julien; Khan, Kamran
95
2011
System identifiability based on the power series expansion of the solution. Zbl 0393.92008
Pohjanpalo, H.
95
1978
Periodicity in an epidemic model with a generalized non-linear incidence. Zbl 1073.92040
Alexander, M. E.; Moghadas, S. M.
94
2004
A model of HIV-1 infection with two time delays: mathematical analysis and comparison with patient data. Zbl 1241.92042
Pawelek, Kasia A.; Liu, Shengqiang; Pahlevani, Faranak; Rong, Libin
94
2012
Global dynamics of a delayed within-host viral infection model with both virus-to-cell and cell-to-cell transmissions. Zbl 1331.34160
Yang, Yu; Zou, Lan; Ruan, Shigui
94
2015
Analysis of logistic growth models. Zbl 0993.92028
Tsoularis, A.; Wallace, J.
93
2002
Epidemiological models for heterogeneous populations: Proportionate mixing, parameter estimation, and immunization programs. Zbl 0619.92006
Hethcote, Herbert W.; van Ark, James W.
91
1987
Heterogeneity in disease-transmission modeling. Zbl 0454.92020
Nold, Annett
91
1980
Heroin epidemics, treatment and ODE modelling. Zbl 1116.92062
White, Emma; Comiskey, Catherine
89
2007
A ratio-dependent food chain model and its applications to biological control. Zbl 1036.92033
Hsu, Sze-Bi; Hwang, Tzy-Wei; Kuang, Yang
89
2003
Remarks on food chain dynamics. Zbl 0844.92025
Kuznetsov, Yu. A.; Rinaldi, S.
87
1996
A periodicity threshold theorem for epidemics and population growth. Zbl 0341.92012
Cooke, Kenneth L.; Kaplan, James L.
87
1976
Optimal harvesting policy for single population with periodic coefficients. Zbl 0940.92030
Fan, Meng; Wang, Ke
86
1998
A core group model for disease transmission. Zbl 0832.92021
Hadeler, K. P.; Castillo-Chavez, C.
86
1995
Oscillatory viral dynamics in a delayed HIV pathogenesis model. Zbl 1168.92031
Wang, Yan; Zhou, Yicang; Wu, Jianhong; Heffernan, Jane
85
2009
Role of optimal control theory in cancer chemotherapy. Zbl 0702.92007
Swan, George W.
85
1990
The effect of time delays on the dynamics of avascular tumor growth. Zbl 0904.92023
Byrne, H. M.
85
1997
Persistence in a model of three competitive populations. Zbl 0584.92018
Freedman, H. I.; Waltman, Paul
84
1985
Heteroclinic orbits indicate overexploitation in predator-prey systems with a strong Allee effect. Zbl 1126.92062
van Voorn, George A. K.; Hemerik, Lia; Boer, Martin P.; Kooi, Bob W.
83
2007
Movement toward better environments and the evolution of rapid diffusion. Zbl 1105.92036
Cantrell, Robert Stephen; Cosner, Chris; Lou, Yuan
80
2006
Existence and global attractivity of positive periodic solutions to periodic \(n\)-species Lotka-Volterra competition systems with several deviating arguments. Zbl 0964.34059
Fan, Meng; Wang, Ke; Jiang, Daqing
80
1999
Stability of the endemic equilibrium in epidemic models with subpopulations. Zbl 0582.92024
Hethcote, Herbert W.; Thieme, Horst R.
80
1985
A simplified mathematical model of tumor growth. Zbl 0601.92007
Adam, John A.
79
1986
On the stability properties of a stochastic model for phage-bacteria interaction in open marine environment. Zbl 0987.92027
Carletti, M.
78
2002
Graphical stability, enrichment, and pest control by a natural enemy. Zbl 0373.92023
Freedman, H. I.
78
1976
Some threshold results for models of myelinated nerves. Zbl 0454.92009
Bell, Jonathan
78
1981
A mathematical model for the global spread of influenza. Zbl 0567.92017
Rvachev, Leonid A.; Longini, Ira M. jun.
77
1985
Using mathematical models to understand the AIDS epidemic. Zbl 0727.92025
Hyman, James M.; Stanley, E. Ann
77
1988
Some simple models for nonlinear age-dependent population dynamics. Zbl 0397.92025
Gurtin, Morton E.; MacCamy, Richard C.
77
1979
Estimating kinetic parameters from HIV primary infection data through the eyes of three different mathematical models. Zbl 1086.92022
Ciupe, M. S.; Bivort, B. L.; Bortz, D. M.; Nelson, P. W.
76
2006
Role of incidence function in vaccine-induced backward bifurcation in some HIV models. Zbl 1134.92026
Sharomi, O.; Podder, C. N.; Gumel, A. B.; Elbasha, E. H.; Watmough, James
75
2007
Global dynamics of cholera models with differential infectivity. Zbl 1244.92040
Shuai, Zhisheng; van den Driessche, P.
74
2011
Chemotherapy for tumors: An analysis of the dynamics and a study of quadratic and linear optimal controls. Zbl 1122.49020
de Pillis, L. G.; Gu, W.; Fister, K. R.; Head, T.; Maples, K.; Murugan, A.; Neal, T.; Yoshida, K.
73
2007
A Petri net approach to the study of persistence in chemical reaction networks. Zbl 1133.92322
Angeli, David; De Leenheer, Patrick; Sontag, Eduardo D.
72
2007
An SIS patch model with variable transmission coefficients. Zbl 1218.92064
Gao, Daozhou; Ruan, Shigui
72
2011
Models for integrated pest control and their biological implications. Zbl 1156.92046
Tang, Sanyi; Cheke, Robert A.
72
2008
Avian-human influenza epidemic model. Zbl 1114.92058
Iwami, Shingo; Takeuchi, Yasuhiro; Liu, Xianning
70
2007
A criterion for permanent coexistence of species, with an application to a two-prey one-predator system. Zbl 0524.92023
Hutson, V.; Vickers, G. T.
70
1983
Destabilizing effect of cannibalism on a structured predator-prey system. Zbl 0943.92030
Magnússon, Kjartan G.
70
1999
Analysis of a mathematical model of the effect of inhibitors on the growth of tumors. Zbl 0998.92022
Cui, Shangbin; Friedman, Avner
70
2000
A structured epidemic model incorporating geographic mobility among regions. Zbl 0833.92020
Sattenspiel, Lisa; Dietz, Klaus
70
1995
Persistence and extinction of a population in a polluted environment. Zbl 0714.92027
Ma, Zhien; Cui, Guirong; Wang, Wendi
70
1990
A mathematical model for the roles of pericytes and macrophages in the initiation of angiogenesis. I: The role of protease inhibitors in preventing angiogenesis. Zbl 0986.92016
Levine, Howard A.; Sleeman, Brian D.; Nilsen-Hamilton, Marit
69
2000
Optimal harvesting from a population in a stochastic crowded environment. Zbl 0885.60052
Lungu, E. M.; Øksendal, B.
69
1997
Great fish war with moratorium. Zbl 1506.91122
Dahmouni, Ilyass; Parilina, Elena M.; Zaccour, Georges
2
2023
A mathematical model of protein subunits COVID-19 vaccines. Zbl 1519.92119
Gholami, Samaneh; Korosec, Chapin S.; Farhang-Sardroodi, Suzan; Dick, David W.; Craig, Morgan; Ghaemi, Mohammad Sajjad; Ooi, Hsu Kiang; Heffernan, Jane M.
2
2023
Stochastic modeling of SIS epidemics with logarithmic Ornstein-Uhlenbeck process and generalized nonlinear incidence. Zbl 07776294
Shi, Zhenfeng; Jiang, Daqing
1
2023
Deconstructing the integrated oscillator model for pancreatic \(\beta \)-cells. Zbl 1527.92016
Bertram, Richard; Marinelli, Isabella; Fletcher, Patrick A.; Satin, Leslie S.; Sherman, Arthur S.
1
2023
\(\mathrm{IP}_3\mathrm{R}\) activity increases propensity of RyR-mediated sparks by elevating dyadic \([\mathrm{Ca}^{2+}]\). Zbl 1506.92040
Chung, Joshua; Tilūnaitė, Agnė; Ladd, David; Hunt, Hilary; Soeller, Christian; Crampin, Edmund J.; Johnston, Stuart T.; Roderick, H. Llewelyn; Rajagopal, Vijay
1
2023
Modeling hypoxia-related inflammation scenarios. Zbl 1506.92012
Ferrante, P.; Preziosi, L.; Scianna, M.
1
2023
Towards a new combination therapy with vectored immunoprophylaxis for HIV: modeling “Shock and kill” strategy. Zbl 07647180
Deng, Qi; Guo, Ting; Qiu, Zhipeng; Chen, Yuming
1
2023
Patterning of nonlocal transport models in biology: the impact of spatial dimension. Zbl 07805063
Jewell, Thomas Jun; Krause, Andrew L.; Maini, Philip K.; Gaffney, Eamonn A.
1
2023
Discrete-time models for interactive wild and sterile mosquitoes with general time steps. Zbl 1489.37111
Yu, Jianshe; Li, Jia
11
2022
Impacts of demographic and environmental stochasticity on population dynamics with cooperative effects. Zbl 1505.92151
Feng, Tao; Zhou, Hongjuan; Qiu, Zhipeng; Kang, Yun
5
2022
Revisiting moment-closure methods with heterogeneous multiscale population models. Zbl 1497.92207
Lunz, Davin; Bonnans, J. Frédéric; Ruess, Jakob
3
2022
Optimal decision theory for diagnostic testing: minimizing indeterminate classes with applications to saliva-based SARS-CoV-2 antibody assays. Zbl 1500.92041
Patrone, Paul N.; Bedekar, Prajakta; Pisanic, Nora; Manabe, Yukari C.; Thomas, David L.; Heaney, Christopher D.; Kearsley, Anthony J.
3
2022
Sterile insect technique with accidental releases of sterile females: impact on mosquito-borne diseases control when viruses are circulating. Zbl 1486.92221
Dumont, Y.; Yatat-Djeumen, I. V.
3
2022
On the anti-quasi-steady-state conditions of enzyme kinetics. Zbl 1492.92031
Eilertsen, Justin; Schnell, Santiago; Walcher, Sebastian
2
2022
Variant-specific interventions to slow down replacement and prevent outbreaks. Zbl 1486.92254
Majeed, Bushra; Tosato, Marco; Wu, Jianhong
2
2022
Variance of filtered signals: characterization for linear reaction networks and application to neurotransmission dynamics. Zbl 1486.92024
Ernst, Ariane; Schütte, Christof; Sigrist, Stephan J.; Winkelmann, Stefanie
2
2022
An epidemic model for COVID-19 transmission in Argentina: exploration of the alternating quarantine and massive testing strategies. Zbl 1490.92117
Vassallo, Lautaro; Perez, Ignacio A.; Alvarez-Zuzek, Lucila G.; Amaya, Julián; Torres, Marcos F.; Valdez, Lucas D.; La Rocca, Cristian E.; Braunstein, Lidia A.
1
2022
Modulation of nuclear and cytoplasmic mRNA fluctuations by time-dependent stimuli: analytical distributions. Zbl 1492.92026
Filatova, Tatiana; Popović, Nikola; Grima, Ramon
1
2022
Life-history traits and the replicator equation. Zbl 1492.92051
Müller, Johannes; Tellier, Aurélien
1
2022
Data-driven models for replication kinetics of Orthohantavirus infections. Zbl 1492.92079
Adams, Alison; Murphy, Quiyana M.; Dougherty, Owen P.; Sawyer, Aubrey M.; Bai, Fan; Edholm, Christina J.; Williams, Evan P.; Allen, Linda J. S.; Jonsson, Colleen B.
1
2022
Mathematical modeling for the combination treatment of IFN-\(\gamma\) and anti-PD-1 in cancer immunotherapy. Zbl 1505.92103
Liao, Kang-Ling; Watt, Kenton D.
1
2022
On predicting heterogeneity in nanoparticle dosage. Zbl 1505.92097
Dowling, Celia V.; Cevaal, Paula M.; Faria, Matthew; Johnston, Stuart T.
1
2022
Probabilistic predictions of SIS epidemics on networks based on population-level observations. Zbl 1497.92325
Zerenner, T.; Di Lauro, F.; Dashti, M.; Berthouze, L.; Kiss, I. Z.
1
2022
Modeling the effect of gut microbiome on therapeutic efficacy of immune checkpoint inhibitors against cancer. Zbl 1497.92109
Chen, Yu; Lai, Xiulan
1
2022
Sequential allocation of vaccine to control an infectious disease. Zbl 1500.92050
Rao, Isabelle J.; Brandeau, Margaret L.
1
2022
Modelling realistic 3D deformations of simple epithelia in dynamic homeostasis. Zbl 1500.92016
Germano, Domenic P. J.; Johnston, Stuart T.; Crampin, Edmund J.; Osborne, James M.
1
2022
Optimal control of the SIR model with constrained policy, with an application to COVID-19. Zbl 1485.92121
Ding, Yujia; Schellhorn, Henry
1
2022
Uncovering the dynamics of a circadian-dopamine model influenced by the light-dark cycle. Zbl 1486.92012
Kim, Ruby; Witelski, Thomas P.
1
2022
Autocatalytic recombination systems: a reaction network perspective. Zbl 1486.92061
Craciun, Gheorghe; Deshpande, Abhishek; Joshi, Badal; Yu, Polly Y.
1
2022
The effect of demographic and environmental variability on disease outbreak for a dengue model with a seasonally varying vector population. Zbl 1460.92214
Nipa, Kaniz Fatema; Jang, Sophia R.-J.; Allen, Linda J. S.
10
2021
COVID-19 optimal vaccination policies: a modeling study on efficacy, natural and vaccine-induced immunity responses. Zbl 1475.92100
Acuña-Zegarra, Manuel Adrian; Díaz-Infante, Saúl; Baca-Carrasco, David; Olmos-Liceaga, Daniel
9
2021
A note on tools for prediction under uncertainty and identifiability of SIR-like dynamical systems for epidemiology. Zbl 1475.92186
Piazzola, Chiara; Tamellini, Lorenzo; Tempone, Raúl
7
2021
Optimal control of the SIR model in the presence of transmission and treatment uncertainty. Zbl 1474.92102
Gatto, Nicole M.; Schellhorn, Henry
7
2021
Lockdown measures and their impact on single- and two-age-structured epidemic model for the COVID-19 outbreak in Mexico. Zbl 1475.92152
Cuevas-Maraver, J.; Kevrekidis, P. G.; Chen, Q. Y.; Kevrekidis, G. A.; Villalobos-Daniel, Víctor; Rapti, Z.; Drossinos, Y.
7
2021
Cell orientation under stretch: stability of a linear viscoelastic model. Zbl 1477.74076
Lucci, Giulio; Giverso, Chiara; Preziosi, Luigi
5
2021
Optimal allocation of limited vaccine to control an infectious disease: simple analytical conditions. Zbl 1475.92103
Rao, Isabelle J.; Brandeau, Margaret L.
4
2021
Immunity after COVID-19: protection or sensitization? Zbl 1460.92118
Danchin, Antoine; Turinici, Gabriel
4
2021
Effect of daily human movement on some characteristics of dengue dynamics. Zbl 1475.92194
Tocto-Erazo, Mayra R.; Olmos-Liceaga, Daniel; Montoya-Laos, José A.
3
2021
Defining phylogenetic networks using ancestral profiles. Zbl 1475.92114
Bai, Allan; Erdős, Péter L.; Semple, Charles; Steel, Mike
3
2021
The role of viral infectivity in oncolytic virotherapy outcomes: a mathematical study. Zbl 1475.92087
Pooladvand, Pantea; Yun, Chae-Ok; Yoon, A.-Rum; Kim, Peter S.; Frascoli, Federico
3
2021
His and her mathematical models of physiological systems. Zbl 1475.92043
Layton, Anita T.
3
2021
Interpreting SARS-CoV-2 seroprevalence, deaths, and fatality rate – making a case for standardized reporting to improve communication. Zbl 1475.92150
Cavataio, Joseph; Schnell, Santiago
2
2021
Evolution of mathematical models of cardiomyocyte electrophysiology. Zbl 1475.92041
Amuzescu, Bogdan; Airini, Razvan; Epureanu, Florin Bogdan; Mann, Stefan A.; Knott, Thomas; Radu, Beatrice Mihaela
2
2021
Stochastic epidemic models inference and diagnosis with Poisson random measure data augmentation. Zbl 1475.92183
Nguyen-Van-Yen, Benjamin; Del Moral, Pierre; Cazelles, Bernard
2
2021
Predicting the results of competition between two breast cancer lines grown in 3-D spheroid culture. Zbl 1475.92053
Rodriguez Messan, Marisabel; Damaghi, Mehdi; Freischel, Audrey; Miao, Yan; Brown, Joel; Gillies, Robert; Wallace, Dorothy
2
2021
To Sobol or not to Sobol? The effects of sampling schemes in systems biology applications. Zbl 1475.92078
Renardy, Marissa; Joslyn, Louis R.; Millar, Jess A.; Kirschner, Denise E.
2
2021
On the role of vesicle transport in neurite growth: modeling and experiments. Zbl 1475.92030
Humpert, Ina; Di Meo, Danila; Püschel, Andreas W.; Pietschmann, Jan-Frederik
2
2021
Optimal allocation of limited vaccine to minimize the effective reproduction number. Zbl 1475.92104
Rao, Isabelle J.; Brandeau, Margaret L.
2
2021
Analyzing the effects of observation function selection in ensemble Kalman filtering for epidemic models. Zbl 1475.92182
Mitchell, Leah; Arnold, Andrea
2
2021
Combining mutation and horizontal gene transfer in a within-host model of antibiotic resistance. Zbl 1475.92106
Roberts, M. G.; Burgess, S.; Toombs-Ruane, L. J.; Benschop, J.; Marshall, J. C.; French, N. P.
2
2021
Spatial modeling and dynamics of organic matter biodegradation in the absence or presence of bacterivorous grazing. Zbl 1460.92231
Chang, Xiaoyuan; Shi, Junping; Wang, Hao
2
2021
Squaring within the Colless index yields a better balance index. Zbl 1457.92123
Bartoszek, Krzysztof; Coronado, Tomás M.; Mir, Arnau; Rosselló, Francesc
2
2021
Retrospective analysis of interventions to epidemics using dynamic simulation of population behavior. Zbl 1480.92211
Osborn, Jenna; Berman, Shayna; Bender-Bier, Sara; D’Souza, Gavin; Myers, Matthew
2
2021
Determining the effects of wind-aided midge movement on the outbreak and coexistence of multiple bluetongue virus serotypes in patchy environments. Zbl 1480.92209
Mugabi, Francis; Duffy, Kevin J.; Mugisha, Joseph Y. T.; Collins, Obiora C.
2
2021
Uniqueness of weakly reversible and deficiency zero realizations of dynamical systems. Zbl 1483.92073
Craciun, Gheorghe; Jin, Jiaxin; Yu, Polly Y.
2
2021
Sensitivity analysis of the reaction occurrence and recurrence times in steady-state biochemical networks. Zbl 1475.92073
Frezzato, Diego
1
2021
Stochastic stem cell models with mutation: a comparison of asymmetric and symmetric divisions. Zbl 1475.92031
Wu, Zhijie; Wang, Yuman; Wang, Kun; Zhou, Da
1
2021
A two-compartment model of oxygen transport in skeletal muscle using continuously distributed capillaries. Zbl 1477.35278
Afas, Keith C.; Vijay, Raashi; Goldman, Daniel
1
2021
Measuring differences between phenomenological growth models applied to epidemiology. Zbl 1474.92096
Bürger, Raimund; Chowell, Gerardo; Lara-Díaz, Leidy Yissedt
1
2021
Mathematical modeling of spatio-temporal population dynamics and application to epidemic spreading. Zbl 1475.92198
Winkelmann, Stefanie; Zonker, Johannes; Schütte, Christof; Djurdjevac Conrad, Nataša
1
2021
Modeling the life cycle of the spotted lanternfly (Lycorma delicatula) with management implications. Zbl 1475.92216
Strömbom, Daniel; Pandey, Swati
1
2021
Modeling and dynamics of physiological and behavioral resistance of Asian citrus psyllid. Zbl 1475.92212
Gao, Shujing; Guo, Jing; Xu, Yan; Tu, Yunbo; Zhu, Huaiping
1
2021
Assessment of effective mitigation and prediction of the spread of SARS-CoV-2 in Germany using demographic information and spatial resolution. Zbl 1475.92174
Kühn, Martin J.; Abele, Daniel; Mitra, Tanmay; Koslow, Wadim; Abedi, Majid; Rack, Kathrin; Siggel, Martin; Khailaie, Sahamoddin; Klitz, Margrit; Binder, Sebastian; Spataro, Luca; Gilg, Jonas; Kleinert, Jan; Häberle, Matthias; Plötzke, Lena; Spinner, Christoph D.; Stecher, Melanie; Zhu, Xiao Xiang; Basermann, Achim; Meyer-Hermann, Michael
1
2021
The inverse correlation between robustness and sensitivity to autoregulation in two-component systems. Zbl 1480.92082
Righetti, Elena; Kahramanoğulları, Ozan
1
2021
A branching process model of evolutionary rescue. Zbl 1480.92141
Azevedo, Ricardo B. R.; Olofsson, Peter
1
2021
Estimating cellular redundancy in networks of genetic expression. Zbl 1480.92080
Mulas, Raffaella; Casey, Michael J.
1
2021
A simple derivation of the mean of the Sackin index of tree balance under the uniform model on rooted binary labeled trees. Zbl 1480.92149
King, Matthew C.; Rosenberg, Noah A.
1
2021
Mathematical assessment of the impact of non-pharmaceutical interventions on curtailing the 2019 novel coronavirus. Zbl 1448.92135
Ngonghala, Calistus N.; Iboi, Enahoro; Eikenberry, Steffen; Scotch, Matthew; MacIntyre, Chandini Raina; Bonds, Matthew H.; Gumel, 1448 B.
62
2020
Modeling the transmission dynamics of the COVID-19 pandemic in South Africa. Zbl 1453.92298
Garba, Salisu M.; Lubuma, Jean M.-S.; Tsanou, Berge
18
2020
Modeling behavioral change and COVID-19 containment in Mexico: a trade-off between lockdown and compliance. Zbl 1448.92118
Acuña-Zegarra, Manuel Adrian; Santana-Cibrian, Mario; Velasco-Hernandez, Jorge X.
18
2020
Staggered release policies for COVID-19 control: costs and benefits of relaxing restrictions by age and risk. Zbl 1448.92143
Zhao, Henry; Feng, Zhilan
18
2020
Modeling the impact of mass influenza vaccination and public health interventions on COVID-19 epidemics with limited detection capability. Zbl 1448.92132
Li, Qian; Tang, Biao; Bragazzi, Nicola Luigi; Xiao, Yanni; Wu, Jianhong
17
2020
Modeling the viral dynamics of SARS-CoV-2 infection. Zbl 1453.92324
Wang, Sunpeng; Pan, Yang; Wang, Quanyi; Miao, Hongyu; Brown, Ashley N.; Rong, Libin
15
2020
Could masks curtail the post-lockdown resurgence of COVID-19 in the US? Zbl 1453.92193
Ngonghala, Calistus N.; Iboi, Enahoro A.; Gumel, Abba B.
15
2020
A data-driven network model for the emerging COVID-19 epidemics in Wuhan, Toronto and Italy. Zbl 1448.92357
Xue, Ling; Jing, Shuanglin; Miller, Joel C.; Sun, Wei; Li, Huafeng; Estrada-Franco, José Guillermo; Hyman, James M.; Zhu, Huaiping
13
2020
The quasi-steady-state approximations revisited: timescales, small parameters, singularities, and normal forms in enzyme kinetics. Zbl 1448.92093
Eilertsen, Justin; Schnell, Santiago
12
2020
Multiscale moving boundary modelling of cancer interactions with a fusogenic oncolytic virus: the impact of syncytia dynamics. Zbl 1437.92056
Alzahrani, Talal; Eftimie, Raluca; Trucu, Dumitru
10
2020
On the benefits of flattening the curve: a perspective. Zbl 1448.92290
Feng, Zhilan; Glasser, John W.; Hill, Andrew N.
7
2020
Four-tier response system and spatial propagation of COVID-19 in China by a network model. Zbl 1460.92196
Ge, Jing; He, Daihai; Lin, Zhigui; Zhu, Huaiping; Zhuang, Zian
7
2020
European and US lockdowns and second waves during the COVID-19 pandemic. Zbl 1460.92198
Glass, David H.
6
2020
Inference on an heteroscedastic Gompertz tumor growth model. Zbl 1453.92127
Albano, G.; Giorno, V.; Román-Román, P.; Román-Román, S.; Serrano-Pérez, J. J.; Torres-Ruiz, F.
5
2020
Sensitivity analysis methods in the biomedical sciences. Zbl 1437.92063
Qian, George; Mahdi, Adam
5
2020
Simulating COVID-19 in a university environment. Zbl 1453.92301
Gressman, Philip T.; Peck, Jennifer R.
4
2020
Insecticide resistance and malaria control: a genetics-epidemiology modeling approach. Zbl 1448.92323
Mohammed-Awel, Jemal; Iboi, Enahoro A.; Gumel, Abba B.
4
2020
Effects of periodic intake of drugs of abuse (morphine) on HIV dynamics: mathematical model and analysis. Zbl 1448.92134
Mutua, Jones M.; Wang, Feng-Bin; Vaidya, Naveen K.
4
2020
Dynamics of a predator-prey model with generalized Holling type functional response and mutual interference. Zbl 1450.34030
Antwi-Fordjour, Kwadwo; Parshad, Rana D.; Beauregard, Matthew A.
4
2020
About biomass overyielding of mixed cultures in batch processes. Zbl 1435.92040
Rapaport, A.; Nidelet, T.; El Aida, S.; Harmand, J.
4
2020
Risk structured model of cholera infections in Cameroon. Zbl 1437.92113
Che, Eric Ngang; Kang, Yeona; Yakubu, Abdul-Aziz
4
2020
Application of the Goodwin model to autoregulatory feedback for stochastic gene expression. Zbl 1450.35261
Kozdęba, Agnieszka; Tomski, Andrzej
3
2020
Dynamics of a two-sex model for the population ecology of dengue mosquitoes in the presence of Wolbachia. Zbl 1453.92265
Taghikhani, Rahim; Sharomi, Oluwaseun; Gumel, Abba B.
3
2020
Modeling COVID-19 pandemic using Bayesian analysis with application to Slovene data. Zbl 1453.92310
Manevski, Damjan; Ružić Gorenjec, Nina; Kejžar, Nataša; Blagus, Rok
3
2020
Piecewise-constant optimal control strategies for controlling the outbreak of COVID-19 in the Irish population. Zbl 1460.92213
Náraigh, Lennon Ó.; Byrne, Áine
3
2020
Modelling and control of a banana soilborne pest in a multi-seasonal framework. Zbl 1435.92084
Tankam-Chedjou, Israël; Touzeau, Suzanne; Mailleret, Ludovic; Tewa, Jean Jules; Grognard, Frédéric
3
2020
Investigation into the role of macrophages heterogeneity on solid tumour aggregations. Zbl 1435.92015
Eftimie, R.
3
2020
A new approach to simulating stochastic delayed systems. Zbl 1448.92075
Fatehi, Farzad; Kyrychko, Yuliya N.; Blyuss, Konstantin B.
3
2020
Exact and approximate formulas for contact tracing on random trees. Zbl 1436.92015
Okolie, Augustine; Müller, Johannes
3
2020
Global redistribution and local migration in semi-discrete host-parasitoid population dynamic models. Zbl 1451.92251
Emerick, Brooks; Singh, Abhyudai; Chhetri, Safal Raut
2
2020
Minimizing disease spread on a quarantined cruise ship: a model of COVID-19 with asymptomatic infections. Zbl 1453.92183
Batista, Berlinda; Dickenson, Drew; Gurski, Katharine; Kebe, Malick; Rankin, Naomi
2
2020
Modeling tau transport in the axon initial segment. Zbl 1453.92075
Kuznetsov, Ivan A.; Kuznetsov, Andrey V.
2
2020
Blood flow regulation and oxygen transport in a heterogeneous model of the mouse retina. Zbl 1453.92087
Fry, Brendan C.; Harris, Alon; Siesky, Brent; Arciero, Julia
2
2020
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Cited by 26,814 Authors

186 Chen, Lansun
163 Teng, Zhi-dong
160 Jiang, Daqing
127 Jin, Zhen
103 Tang, Sanyi
102 Ruan, Shigui
97 Xu, Rui
96 Wu, Jianhong
91 Song, Xinyu
87 Chattopadhyay, Joydev
81 Xiao, Yanni
80 Li, Xuezhi
78 Takeuchi, Yasuhiro
73 Meng, Xinzhu
72 Elaiw, Ahmed M.
72 Gumel, Abba B.
72 Wang, Ke
70 Hayat, Tasawar
70 Huo, Hai-Feng
70 Zhao, Xiao-Qiang
69 Martcheva, Maia
67 van den Driessche, Pauline
64 Yuan, Sanling
63 Freedman, Herbert Irving
62 Liu, Qun
62 Wang, Wendi
61 Cui, Jingan
61 Feng, Zhilan
61 Kar, Tapan Kumar
60 Qiu, Zhipeng
58 Wang, Hao
57 Banerjee, Malay
57 Wang, Jinliang
57 Zhang, Tonghua
55 Allen, Linda J. S.
55 Liu, Meng
55 Samanta, Guru Prasad
54 Kang, Yun
53 Chen, Yuming
53 Kuang, Yang
53 Ma, Wanbiao
52 Liu, Shengqiang
52 Rong, Libin
52 Wang, Weiming
52 Webb, Glenn Francis
52 Zhu, Huaiping
52 Zou, Xingfu
51 Al-saedi, Ahmed Eid Salem
51 Li, Jia
51 Sun, Guiquan
51 Yang, Junyuan
50 Kumar Upadhyay, Ranjit
50 Venturino, Ezio
49 Castillo-Chavez, Carlos
49 Khan, Muhammad Altaf
49 Misra, Arvind Kumar
48 Chaplain, Mark A. J.
47 Ball, Frank G.
47 d’Onofrio, Alberto
47 Gao, Shujing
47 Wang, Xia
47 Wei, Junjie
47 Zhang, Qimin
46 Ma, Zhien
45 Li, Wan-Tong
45 Wang, Jin
44 Cheke, Robert A.
44 Kuniya, Toshikazu
44 Lewis, Mark Alun
44 Yakubu, Abdul-Aziz
44 Zhang, Tailei
43 Cai, Yongli
43 Chen, Fengde
43 Lenhart, Suzanne M.
43 Liu, Xianning
42 Byrne, Helen Mary
42 Liu, Zhijun
42 Zhang, Long
41 Banks, Harvey Thomas
41 Cai, Liming
41 Lou, Yuan
40 Samanta, Sudip
40 Xu, Shihe
39 Jiao, Jianjun
39 Liu, Bing
39 Mode, Charles J.
39 Steel, Michael Anthony
39 Wang, Feng-Bin
38 Cao, Jinde
38 Gakkhar, Sunita
38 Lin, Zhigui
38 Maini, Philip Kumar
38 Mushayabasa, Steady
38 Pei, Yongzhen
38 Zhou, Yicang
37 Li, Jianquan
37 Perelson, Alan S.
37 Zhao, Hongyong
36 Ghosh, Mini
35 Bowong, Samuel
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Cited in 883 Journals

2,527 Mathematical Biosciences
1,222 Journal of Theoretical Biology
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66 ZAMP. Zeitschrift für angewandte Mathematik und Physik
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57 Acta Applicandae Mathematicae
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56 Qualitative Theory of Dynamical Systems
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41 Biometrics
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