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zbMATH — the first resource for mathematics

Mathematical Biosciences

Short Title: Math. Biosci.
Publisher: Elsevier, New York, NY
ISSN: 0025-5564
Online: http://www.sciencedirect.com/science/journal/00255564
Comments: Indexed cover-to-cover
Documents Indexed: 4,265 Publications (since 1967)
References Indexed: 4,183 Publications with 119,282 References.
all top 5

Authors

39 Mode, Charles J.
28 Voit, Eberhard Otto
20 Feng, Zhilan
19 Jacquez, John A.
19 van den Driessche, Pauline
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 Hethcote, Herbert W.
15 Kimmel, Marek
14 Dietz, Klaus
14 King, John Robert
14 Pickard, William F.
14 Ruan, Shigui
13 Allen, Linda J. S.
13 Godfrey, Keith R.
13 Gumel, Abba B.
13 Kuang, Yang
13 Takeuchi, Yasuhiro
12 Chase, J. Geoffrey
12 Eisenfeld, Jerome
12 Hanin, Leonid G.
12 Kooi, Bob W.
12 Zheng, Qi
11 Martcheva, Maia
11 Savageau, Michael A.
11 Vasudevan, Ramabhadra
11 Waltman, Paul Elvis
10 Britton, Tom
10 Greenhalgh, David
10 Hadeler, Karl-Peter
10 Johnston, Peter Rex
10 Layton, Anita T.
10 May, Robert McCredie
10 Moolgavkar, Suresh H.
10 Sorribas, Albert
10 Steel, Michael Anthony
10 Tveito, Aslak
10 Ueno, Sueo
10 Yakubu, Abdul-Aziz
9 DeAngelis, Donald L.
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 Rass, Linda
9 Shiraishi, Fumihide
8 Chiang, Chin Long
8 Cosner, Chris
8 Diekmann, Odo
8 Gandolfi, Alberto
8 Gopalsamy, Kondalsamy
8 Hearon, John Z.
8 Lange, Kenneth L.
8 Lefkovitch, L. P.
8 Luebeck, E. Georg
8 Maini, Philip Kumar
8 Müller, Johannes
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 Wu, Jianhong
8 Xiao, Yanni
8 Zhu, Huaiping
7 Androulakis, Ioannis P.
7 Auger, Pierre M.
7 Bell, Jonathan
7 Brauer, Fred
7 Byrne, Helen Mary
7 Chattopadhyay, Joydev
7 Chauvet, Gilbert A.
7 Delforge, Jacques
7 Docherty, Paul D.
7 Esteva, Lourdes
7 Fan, Meng
7 Guerri, Luciano
7 Hyman, James M.
7 Jean, Roger V.
7 Komarova, Natalia L.
7 Kot, Mark
7 Kuznetsov, Andrey V.
7 Lefèvre, Claude
7 Li, Michael Yi
7 Lines, Glenn Terje
...and 5,979 more Authors
all top 5

Fields

3,987 Biology and other natural sciences (92-XX)
567 Probability theory and stochastic processes (60-XX)
520 Ordinary differential equations (34-XX)
395 Statistics (62-XX)
377 Systems theory; control (93-XX)
345 Numerical analysis (65-XX)
282 Partial differential equations (35-XX)
265 Dynamical systems and ergodic theory (37-XX)
186 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
103 Calculus of variations and optimal control; optimization (49-XX)
83 Computer science (68-XX)
82 Fluid mechanics (76-XX)
75 Combinatorics (05-XX)
70 Integral equations (45-XX)
69 Operations research, mathematical programming (90-XX)
50 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)
29 Mechanics of deformable solids (74-XX)
16 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)
7 Approximations and expansions (41-XX)
6 Mathematical logic and foundations (03-XX)
6 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)
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 Global analysis, analysis on manifolds (58-XX)
1 Measure and integration (28-XX)
1 Special functions (33-XX)
1 Geometry (51-XX)
1 Quantum theory (81-XX)
1 Geophysics (86-XX)

Publications by Year

Citations contained in zbMATH Open

3,186 Publications have been cited 35,623 times in 19,062 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.
449
1978
A generalization of the Kermack-McKendrick deterministic epidemic model. Zbl 0398.92026
Capasso, Vincenzo; Serio, Gabriella
341
1978
A time-delay model of single-species growth with stage structure. Zbl 0719.92017
Aiello, Walter G.; Freedman, H. I.
294
1990
Dynamics of HIV infection of CD4\(^ +\) T cells. Zbl 0796.92016
Perelson, Alan S.; Kirschner, Denise E.; de Boer, Rob
280
1993
A delay-differential equation model of HIV infection of \(\text{CD}4^+\) T-cells. Zbl 0981.92009
Culshaw, Rebecca V.; Ruan, Shigui
242
2000
A deterministic model for gonorrhea in a nonhomogeneous population. Zbl 0344.92016
Lajmanovich, Ana; Yorke, James A.
240
1976
Qualitative analyses of communicable disease models. Zbl 0326.92017
Hethcote, Herbert W.
222
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
206
1999
Persistence in models of three interacting predator-prey populations. Zbl 0534.92026
Freedman, H. I.; Waltman, Paul
205
1984
Modeling and analysis of a predator-prey model with disease in the prey. Zbl 0978.92031
Xiao, Yanni; Chen, Lansun
200
2001
On the diffusion of biological populations. Zbl 0362.92007
Gurtin, Morton E.; MacCamy, Richard C.
192
1977
Global analysis of an epidemic model with nonmonotone incidence rate. Zbl 1119.92042
Xiao, Dongmei; Ruan, Shigui
174
2007
Mathematical analysis of delay differential equation models of HIV-1 infection. Zbl 0992.92035
Nelson, Patrick W.; Perelson, Alan S.
170
2002
Global stability for the SEIR model in epidemiology. Zbl 0821.92022
Li, Michael Y.; Muldowney, James S.
165
1995
Uniqueness of limit cycles in Gause-type models of predator-prey systems. Zbl 0642.92016
Kuang, Yang; Freedman, H. I.
157
1988
Growth of nonnecrotic tumors in the presence and absence of inhibitors. Zbl 0836.92011
Byrne, H. M.; Chaplain, M. A. J.
151
1995
Stability properties of pulse vaccination strategy in SEIR epidemic model. Zbl 0991.92025
d’Onofrio, Alberto
148
2002
Permanence and the dynamics of biological systems. Zbl 0783.92002
Hutson, Vivian; Schmitt, Klaus
145
1992
A model of HIV-1 pathogenesis that includes an intracellular delay. Zbl 0942.92017
Nelson, Patrick W.; Murray, James D.; Perelson, Alan S.
145
2000
A simple vaccination model with multiple endemic states. Zbl 0954.92023
Kribs-Zaleta, Christopher M.; Velasco-Hernández, Jorge X.
143
2000
An epidemic model in a patchy environment. Zbl 1048.92030
Wang, Wendi; Zhao, Xiao-Qiang
138
2004
Optimal harvesting and stability for two-species competitive system with stage structure. Zbl 1028.34049
Song, Xinyu; Chen, Lansun
135
2001
Uniform persistence and permanence for non-autonomous semiflows in population biology. Zbl 0970.37061
Thieme, Horst R.
134
2000
Spreading speeds as slowest wave speeds for cooperative systems. Zbl 1075.92043
Li, Bingtuan; Weinberger, Hans F.; Lewis, Mark A.
133
2005
Nonlinear aspects of chemotaxis. Zbl 0481.92010
Childress, S.; Percus, J. K.
129
1981
Biological growth and spread modeled by systems of recursions. I: Mathematical theory. Zbl 0706.92014
Lui, Roger
126
1989
Growth of necrotic tumors in the presence and absence of inhibitors. Zbl 0856.92010
Byrne, H. M.; Chaplain, M. A. J.
121
1996
Mathematical analysis of the global dynamics of a model for HIV infection of CD4\(^{+}\) T cells. Zbl 1086.92035
Wang, Liancheng; Li, Michael Y.
118
2006
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
117
1988
Analysis of a dengue disease transmission model. Zbl 0930.92020
Esteva, Lourdes; Vargas, Cristobal
116
1998
Global stability and persistence of simple food chains. Zbl 0572.92025
Freedman, H. I.; So, J. W.-H.
114
1985
The differential infectivity and staged progression models for the transmission of HIV. Zbl 0942.92030
Hyman, James M.; Li, Jia; Stanley, E. Ann
112
1999
Backward bifurcation of an epidemic model with treatment. Zbl 1093.92054
Wang, Wendi
112
2006
The dynamics of an infectious disease in a population with birth pulses. Zbl 0928.92027
Roberts, M. G.; Kao, R. R.
112
1998
Backward bifurcations in dengue transmission dynamics. Zbl 1156.92036
Garba, S. M.; Gumel, A. B.; Bakar, M. R. Abu
108
2008
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.
105
1998
Mathematical analysis of some three-species food-chain models. Zbl 0363.92022
Freedman, H. I.; Waltman, Paul
105
1977
Backward bifurcation in epidemic control. Zbl 0904.92031
Hadeler, K. P.; van den Driessche, P.
99
1997
Discrete-time growth-dispersal models. Zbl 0595.92011
Kot, Mark; Schaffer, William M.
98
1986
Predator-prey dynamics in models of prey dispersal in two-patch environments. Zbl 0793.92014
Kuang, Yang; Takeuchi, Yasuhiro
97
1994
Spreading disease: Integro-differential equations old and new. Zbl 1036.92030
Medlock, Jan; Kot, Mark
95
2003
Some equations modelling growth processes and gonorrhea epidemics. Zbl 0251.92011
Cooke, Kenneth L.; Yorke, James A.
95
1973
The stage-structured predator-prey model and optimal harvesting policy. Zbl 0961.92037
Zhang, Xinan; Chen, Lansun; Neumann, Avidan U.
87
2000
Models for transmission of disease with immigration of infectives. Zbl 0995.92041
Brauer, Fred; van den Driessche, P.
86
2001
On global stability of a predator-prey system. Zbl 0383.92014
Hsu, S. B.
86
1978
Speeds of invasion in a model with strong or weak Allee effects. Zbl 0978.92033
Wang, Mei-Hui; Kot, Mark
84
2001
Effects of quarantine in six endemic models for infectious diseases. Zbl 1019.92030
Hethcote, Herbert; Zhien, Ma; Shengbing, Liao
83
2002
Comparison of deterministic and stochastic SIS and SIR models in discrete time. Zbl 0978.92024
Allen, Linda J. S.; Burgin, Amy M.
83
2000
Global stability of an SIR epidemic model with information dependent vaccination. Zbl 1152.92019
Buonomo, Bruno; d’Onofrio, Alberto; Lacitignola, Deborah
82
2008
Persistence in a model of three competitive populations. Zbl 0584.92018
Freedman, H. I.; Waltman, Paul
81
1985
Heterogeneity in disease-transmission modeling. Zbl 0454.92020
Nold, Annett
81
1980
Comparison of phylogenetic trees. Zbl 0451.92006
Robinson, D. F.; Foulds, L. R.
80
1981
Stochastic epidemic models: a survey. Zbl 1188.92031
Britton, Tom
79
2010
System identifiability based on the power series expansion of the solution. Zbl 0393.92008
Pohjanpalo, H.
79
1978
A ratio-dependent food chain model and its applications to biological control. Zbl 1036.92033
Hsu, Sze-Bi; Hwang, Tzy-Wei; Kuang, Yang
78
2003
Global stability for cholera epidemic models. Zbl 1217.92068
Tian, Jianjun Paul; Wang, Jin
78
2011
A periodicity threshold theorem for epidemics and population growth. Zbl 0341.92012
Cooke, Kenneth L.; Kaplan, James L.
78
1976
A core group model for disease transmission. Zbl 0832.92021
Hadeler, K. P.; Castillo-Chavez, C.
77
1995
Remarks on food chain dynamics. Zbl 0844.92025
Kuznetsov, Yu. A.; Rinaldi, S.
77
1996
Epidemiological models for heterogeneous populations: Proportionate mixing, parameter estimation, and immunization programs. Zbl 0619.92006
Hethcote, Herbert W.; van Ark, James W.
76
1987
Graphical stability, enrichment, and pest control by a natural enemy. Zbl 0373.92023
Freedman, H. I.
75
1976
Optimal harvesting policy for single population with periodic coefficients. Zbl 0940.92030
Fan, Meng; Wang, Ke
72
1998
Some simple models for nonlinear age-dependent population dynamics. Zbl 0397.92025
Gurtin, Morton E.; MacCamy, Richard C.
72
1979
Periodicity in an epidemic model with a generalized non-linear incidence. Zbl 1073.92040
Alexander, M. E.; Moghadas, S. M.
71
2004
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
70
2011
Role of optimal control theory in cancer chemotherapy. Zbl 0702.92007
Swan, George W.
70
1990
Some discrete-time SI, SIR, and SIS epidemic models. Zbl 0807.92022
Allen, Linda J. S.
70
1994
The effect of time delays on the dynamics of avascular tumor growth. Zbl 0904.92023
Byrne, H. M.
69
1997
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
69
1999
Using mathematical models to understand the AIDS epidemic. Zbl 0727.92025
Hyman, James M.; Stanley, E. Ann
68
1988
On the stability properties of a stochastic model for phage-bacteria interaction in open marine environment. Zbl 0987.92027
Carletti, M.
67
2002
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
66
2012
Some threshold results for models of myelinated nerves. Zbl 0454.92009
Bell, Jonathan
66
1981
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
65
2007
Two-event models for carcinogenesis: Incidence curves for childhood and adult tumors. Zbl 0422.92006
Moolgavkar, Suresh H.; Venzon, David J.
64
1979
Influence of stochastic perturbation on prey-predator systems. Zbl 1124.92055
Rudnicki, Ryszard; Pichór, Katarzyna
64
2007
A mathematical model for the global spread of influenza. Zbl 0567.92017
Rvachev, Leonid A.; Longini, Ira M. jun.
63
1985
Destabilizing effect of cannibalism on a structured predator-prey system. Zbl 0943.92030
Magnússon, Kjartan G.
63
1999
Heroin epidemics, treatment and ODE modelling. Zbl 1116.92062
White, Emma; Comiskey, Catherine
63
2007
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.
63
2007
Oscillatory viral dynamics in a delayed HIV pathogenesis model. Zbl 1168.92031
Wang, Yan; Zhou, Yicang; Wu, Jianhong; Heffernan, Jane
63
2009
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.
62
1983
Analysis of a mathematical model of the effect of inhibitors on the growth of tumors. Zbl 0998.92022
Cui, Shangbin; Friedman, Avner
62
2000
Modeling and analysis of a marine bacteriophage infection. Zbl 0946.92012
Beretta, Edoardo; Kuang, Yang
62
1998
Models for integrated pest control and their biological implications. Zbl 1156.92046
Tang, Sanyi; Cheke, Robert A.
61
2008
Propagation of HBV with spatial dependence. Zbl 1129.92052
Wang, Kaifa; Wang, Wendi
61
2007
The type-reproduction number \(T\) in models for infectious disease control. Zbl 1124.92043
Heesterbeek, J. A. P.; Roberts, M. G.
60
2007
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.
60
2006
Stability of the endemic equilibrium in epidemic models with subpopulations. Zbl 0582.92024
Hethcote, Herbert W.; Thieme, Horst R.
59
1985
A simplified mathematical model of tumor growth. Zbl 0601.92007
Adam, John A.
59
1986
Age-structured and two-delay models for erythropoiesis. Zbl 0832.92005
Bélair, Jacques; Mackey, Michael C.; Mahaffy, Joseph M.
59
1995
Analysis of logistic growth models. Zbl 0993.92028
Tsoularis, A.; Wallace, J.
59
2002
Movement toward better environments and the evolution of rapid diffusion. Zbl 1105.92036
Cantrell, Robert Stephen; Cosner, Chris; Lou, Yuan
59
2006
Avian-human influenza epidemic model. Zbl 1114.92058
Iwami, Shingo; Takeuchi, Yasuhiro; Liu, Xianning
58
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.
57
2007
A model of predator-prey dynamics as modified by the action of a parasite. Zbl 0698.92024
Freedman, H. I.
57
1990
Dependence of epidemic and population velocities on basic parameters. Zbl 0743.92029
Mollison, Denis
56
1991
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
56
2015
Optimal harvesting from a population in a stochastic crowded environment. Zbl 0885.60052
Lungu, E. M.; Øksendal, B.
55
1997
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.
17
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
6
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.
4
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.
4
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
2
2020
Addition of flow reactions preserving multistationarity and bistability. Zbl 1437.92047
Cappelletti, Daniele; Feliu, Elisenda; Wiuf, Carsten
2
2020
About biomass overyielding of mixed cultures in batch processes. Zbl 1435.92040
Rapaport, A.; Nidelet, T.; El Aida, S.; Harmand, J.
2
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
2
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.
2
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.
1
2020
Predicting COVID-19 spread in the face of control measures in West Africa. Zbl 1453.92319
Taboe, Hémaho B.; Salako, Kolawolé V.; Tison, James M.; Ngonghala, Calistus N.; Glèlè Kakaï, Romain
1
2020
Simulating COVID-19 in a university environment. Zbl 1453.92301
Gressman, Philip T.; Peck, Jennifer R.
1
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
1
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
1
2020
Sensitivity analysis methods in the biomedical sciences. Zbl 1437.92063
Qian, George; Mahdi, Adam
1
2020
Persistent instability in a nonhomogeneous delay differential equation system of the Valsalva maneuver. Zbl 1437.92034
Randall, E. Benjamin; Randolph, Nicholas Z.; Olufsen, Mette S.
1
2020
Stochastic dynamics in a time-delayed model for autoimmunity. Zbl 1448.92061
Fatehi, Farzad; Kyrychko, Yuliya N.; Blyuss, Konstantin B.
1
2020
Investigation into the role of macrophages heterogeneity on solid tumour aggregations. Zbl 1435.92015
Eftimie, R.
1
2020
A new approach to simulating stochastic delayed systems. Zbl 1448.92075
Fatehi, Farzad; Kyrychko, Yuliya N.; Blyuss, Konstantin B.
1
2020
Crossover in spreading behavior due to memory in population dynamics. Zbl 1448.92243
Oliveira, Karen A.; Berbert, Juliana M.
1
2020
The quasi-steady-state approximations revisited: timescales, small parameters, singularities, and normal forms in enzyme kinetics. Zbl 1448.92093
Eilertsen, Justin; Schnell, Santiago
1
2020
Insecticide resistance and malaria control: a genetics-epidemiology modeling approach. Zbl 1448.92323
Mohammed-Awel, Jemal; Iboi, Enahoro A.; Gumel, Abba B.
1
2020
Global dynamics of healthy and cancer cells competing in the hematopoietic system. Zbl 1442.92043
Andersen, Morten; Hasselbalch, Hans C.; Kjær, Lasse; Skov, Vibe; Ottesen, Johnny T.
1
2020
Multiscale modelling of cancer response to oncolytic viral therapy. Zbl 1425.92103
Alzahrani, Talal; Eftimie, Raluca; Trucu, Dumitru
10
2019
Implementation of control strategies for sterile insect techniques. Zbl 1425.92126
Bliman, Pierre-Alexandre; Cardona-Salgado, Daiver; Dumont, Yves; Vasilieva, Olga
7
2019
Time-varying pharmacodynamics in a simple non-integer HIV infection model. Zbl 1409.92150
Pinto, Carla M. A.; Carvalho, Ana R. M.; Tavares, João N.
7
2019
Effect of kernels on spatio-temporal patterns of a non-local prey-predator model. Zbl 1425.92159
Pal, Swadesh; Ghorai, S.; Banerjee, Malay
6
2019
Hydra effect and paradox of enrichment in discrete-time predator-prey models. Zbl 1425.92166
Weide, Vinicius; Varriale, Maria C.; Hilker, Frank M.
6
2019
Optimal control of epidemic size and duration with limited resources. Zbl 1425.92178
Bolzoni, Luca; Bonacini, Elena; Della Marca, Rossella; Groppi, Maria
5
2019
Dynamical analysis of a stage-structured predator-prey model with cannibalism. Zbl 1409.92217
Zhang, Fengqin; Chen, Yuming; Li, Jianquan
5
2019
Dynamics of a plant-nectar-pollinator model and its approximate equations. Zbl 1409.92273
Wang, Yuanshi
4
2019
Global dynamics of a discrete age-structured SIR epidemic model with applications to measles vaccination strategies. Zbl 1411.34072
Zhou, Linhua; Wang, Yan; Xiao, Yanyu; Li, Michael Y.
4
2019
Robust model selection between population growth and multiple merger coalescents. Zbl 1425.92141
Koskela, Jere; Berenguer, Maite Wilke
3
2019
Modeling the impact of sterile males on an Aedes aegypti population with optimal control. Zbl 1425.92131
Multerer, Lea; Smith, Thomas; Chitnis, Nakul
3
2019
Mathematics of an epidemiology-genetics model for assessing the role of insecticides resistance on malaria transmission dynamics. Zbl 1425.92192
Mohammed-Awel, Jemal; Gumel, Abba B.
3
2019
A class of phylogenetic networks reconstructable from ancestral profiles. Zbl 1421.05085
Erdős, Péter L.; Semple, Charles; Steel, Mike
3
2019
Infection model for analyzing biological control of coffee rust using bacterial anti-fungal compounds. Zbl 1409.92222
Arroyo-Esquivel, Jorge; Sanchez, Fabio; Barboza, Luis A.
3
2019
Modelling the effects of heavy alcohol consumption on the transmission dynamics of gonorrhea with optimal control. Zbl 1409.92228
Bonyah, E.; Khan, M. A.; Okosun, K. O.; Gómez-Aguilar, J. F.
3
2019
Conflict and accord of optimal treatment strategies for HIV infection within and between hosts. Zbl 1409.92152
Shen, Mingwang; Xiao, Yanni; Rong, Libin; Meyers, Lauren Ancel
3
2019
Impulsive model of endocrine regulation with a local continuous feedback. Zbl 1425.92055
Taghvafard, Hadi; Medvedev, Alexander; Proskurnikov, Anton V.; Cao, Ming
2
2019
Improved model prediction of glioma growth utilizing tissue-specific boundary effects. Zbl 1425.92111
Jacobs, Joshua; Rockne, Russell C.; Hawkins-Daarud, Andrea J.; Jackson, Pamela R.; Johnston, Sandra K.; Kinahan, Paul; Swanson, Kristin R.
2
2019
Numerical optimal control of a size-structured PDE model for metastatic cancer treatment. Zbl 1425.92114
Liu, Jun; Wang, Xiang-Sheng
2
2019
Optimal control of a multi-patch dengue model under the influence of Wolbachia bacterium. Zbl 1425.92176
Bock, Wolfgang; Jayathunga, Yashika
2
2019
\(R_0\) and sensitivity analysis of a predator-prey model with seasonality and maturation delay. Zbl 1425.92165
Wang, Xiunan; Wang, Hao; Li, Michael Y.
2
2019
Role of infarct scar dimensions, border zone repolarization properties and anisotropy in the origin and maintenance of cardiac reentry. Zbl 1425.92048
Colli-Franzone, P.; Gionti, V.; Pavarino, L. F.; Scacchi, S.; Storti, C.
2
2019
Identification of potential biomarkers on microarray data using distributed gene selection approach. Zbl 1425.92082
Shukla, Alok Kumar; Tripathi, Diwakar
2
2019
A concrete example with three limit cycles in Zeeman’s class 29 for three dimensional Lotka-Volterra competitive systems. Zbl 1409.92206
Murakami, Kouichi
2
2019
Equilibria in a two-species fishery. Zbl 1409.92188
Breton, Michèle; Dahmouni, Ilyass; Zaccour, Georges
2
2019
The effect of random dispersal on competitive exclusion - a review. Zbl 1437.92097
Girardin, Léo
2
2019
Disease-induced chaos, coexistence, oscillations, and invasion failure in a competition-model with strong Allee effect. Zbl 1432.92107
Köhnke, M. C.; Malchow, H.
2
2019
Comparison of stochastic and deterministic frameworks in dengue modelling. Zbl 1425.92180
Champagne, Clara; Cazelles, Bernard
1
2019
Assessing the role of climate factors on malaria transmission dynamics in South Sudan. Zbl 1425.92193
Mukhtar, Abdulaziz Y. A.; Munyakazi, Justin B.; Ouifki, Rachid
1
2019
Predicting outcomes of chronic kidney disease from EMR data based on random forest regression. Zbl 1425.92121
Zhao, Jing; Gu, Shaopeng; McDermaid, Adam
1
2019
Local immunodeficiency: minimal networks and stability. Zbl 1425.92106
Bunimovich, Leonid; Shu, Longmei
1
2019
Stability and Hopf bifurcation analysis in a delayed three-node circuit involving interlinked positive and negative feedback loops. Zbl 1425.92083
Wang, Guiyuan; Yang, Zhuoqin; Turcotte, Marc
1
2019
Structured mathematical models to investigate the interactions between Plasmodium falciparum malaria parasites and host immune response. Zbl 1425.92190
Ma, Baoling; Li, Chuan; Warner, Jack
1
2019
Optimal control of environmental cleaning and antibiotic prescription in an epidemiological model of methicillin-resistant Staphylococcus aureus infections in hospitals. Zbl 1425.92129
Huang, Qimin; Huo, Xi; Ruan, Shigui
1
2019
A novel matched-pairs feature selection method considering with tumor purity for differential gene expression analyses. Zbl 1425.92081
Sen, Liang; Sen, Yang; Dayang, Liang; Jiechao, Ma; Yuan, Tian; Jing, Zhao; Xu, Zhang; Ying, Xu; Yan, Wang
1
2019
Numerical discovery and continuation of points of infinitesimal homeostasis. Zbl 1425.92049
Donovan, Graham M.
1
2019
Tailoring anatomical muscle paths: a sheath-like solution for muscle routing in musculoskeletal computer models. Zbl 1425.92017
Hammer, M.; Günther, M.; Haeufle, D. F. B.; Schmitt, S.
1
2019
Modeling vaccination decision making process in a finite population. Zbl 1425.92124
Bai, Fan
1
2019
Prediction of aptamer-protein interacting pairs based on sparse autoencoder feature extraction and an ensemble classifier. Zbl 1425.92078
Qing, Yang; Cangzhi, Jia; Taoying, Li
1
2019
An investigation of the combined effect of an annual mass gathering event and seasonal infectiousness on disease outbreak. Zbl 1425.92202
Xu, Fei; McCluskey, C. Connell
1
2019
Predicting miRNA-lncRNA interactions and recognizing their regulatory roles in stress response of plants. Zbl 1425.92074
Ismalia, Bouba; Kang, Qiang; Luan, Yu-Shi; Meng, Jun
1
2019
A novel conjoint triad auto covariance (CTAC) coding method for predicting protein-protein interaction based on amino acid sequence. Zbl 1425.92085
Xue, Wang; Rujing, Wang; Yuanyuan, Wei; Yuanmiao, Gui
1
2019
A Bayesian hierarchical point process model for epidermal nerve fiber patterns. Zbl 1425.92037
Andersson, C.; Rajala, T.; Särkkä, A.
1
2019
Conservation region finding for influenza A viruses by machine learning methods of N-linked glycosylation sites and B-cell epitopes. Zbl 1425.92075
Liu, Jone-Han; Chang, Chi-Chang; Chen, Chi-Wei; Wong, Li-Ting; Chu, Yen-Wei
1
2019
Predicting lncRNA-disease associations using network topological similarity based on deep mining heterogeneous networks. Zbl 1425.92088
Hui, Zhang; Yanchun, Liang; Cheng, Peng; Siyu, Han; Wei, Du; Ying, Li
1
2019
How trait distributions evolve in populations with parametric heterogeneity. Zbl 1425.92155
Karev, Georgy P.; Novozhilov, Artem S.
1
2019
Numerical solution of inward solidification of a dilute ternary solution towards a semi-permeable spherical cell. Zbl 1425.92061
Anderson, Daniel M.; Benson, James D.; Kearsley, Anthony J.
1
2019
The parameter Houlihan: a solution to high-throughput identifiability indeterminacy for brutally ill-posed problems. Zbl 1425.92047
Albers, David J.; Levine, Matthew E.; Mamykina, Lena; Hripcsak, George
1
2019
Optimizing multi-modal cancer treatment under 3D spatio-temporal tumor growth. Zbl 1409.92116
Kıbış, Eyyüb Y.; Büyüktahtakın, İ. Esra
1
2019
Mathematical modeling of dispersal phenomenon in biofilms. Zbl 1409.92262
D’Acunto, B.; Frunzo, L.; Klapper, I.; Mattei, M. R.; Stoodley, P.
1
2019
Strain state dependent anisotropic viscoelasticity of tendon-to-bone insertion. Zbl 1409.92018
Kuznetsov, Sergey; Pankow, Mark; Peters, Kara; Huang, Hsiao-Ying Shadow
1
2019
Mathematical analysis of a tumour-immune interaction model: a moving boundary problem. Zbl 1408.35231
Malinzi, Joseph; Amima, Innocenter
1
2019
Dynamics between infectious diseases with two susceptibility conditions: a mathematical model. Zbl 1409.92236
Gutiérrez-Jara, J. P.; Córdova-Lepe, F. D.; Muñoz-Quezada, M. T.
1
2019
Optimal adaptive control of drug dosing using integral reinforcement learning. Zbl 1409.92119
Padmanabhan, Regina; Meskin, Nader; Haddad, Wassim M.
1
2019
Uncertainty, imprecision, and many-valued logics in protein bioinformatics. Zbl 1409.92087
Małysiak-Mrozek, Bożena
1
2019
A biological model of scabies infection dynamics and treatment informs mass drug administration strategies to increase the likelihood of elimination. Zbl 1409.92245
Lydeamore, M. J.; Campbell, P. T.; Regan, D. G.; Tong, S. Y. C.; Andrews, R. M.; Steer, A. C.; Romani, L.; Kaldor, J. M.; McVernon, J.; McCaw, J. M.
1
2019
Heineken, Tsuchiya and Aris: “On the mathematical status of the pseudo-steady state hypothesis”. A classic from Volume 1 of Mathematical Biosciences. Zbl 1433.92021
Roussel, Marc R.
1
2019
Canard phenomenon in a slow-fast modified Leslie-Gower model. Zbl 1380.92050
Ambrosio, B.; Aziz-Alaoui, M. A.; Yafia, R.
11
2018
Influence of multiple delays in brain tumor and immune system interaction with T11 target structure as a potent stimulator. Zbl 1400.92264
Khajanchi, Subhas; Banerjee, Sandip
9
2018
Optimal control strategies for dengue transmission in Pakistan. Zbl 1409.92220
Agusto, F. B.; Khan, M. A.
9
2018
Simple paratransgenic mosquitoes models and their dynamics. Zbl 1411.34067
Li, Jia; Han, Maoan; Yu, Jianshe
8
2018
Nonlocal strain gradient beam model for postbuckling and associated vibrational response of lipid supramolecular protein micro/nano-tubules. Zbl 1380.92009
Sahmani, S.; Aghdam, M. M.
8
2018
Patterns induced by super cross-diffusion in a predator-prey system with Michaelis-Menten type harvesting. Zbl 1392.92079
Liu, Biao; Wu, Ranchao; Chen, Liping
7
2018
Practical identifiability and uncertainty quantification of a pulsatile cardiovascular model. Zbl 1409.92072
Marquis, Andrew D.; Arnold, Andrea; Dean-Bernhoft, Caron; Carlson, Brian E.; Olufsen, Mette S.
7
2018
Coexistence and bistability of a competition model in open advective environments. Zbl 1409.92267
Lou, Yuan; Nie, Hua; Wang, Yan’e
7
2018
The operating diagram of a model of two competitors in a chemostat with an external inhibitor. Zbl 1402.34048
Dellal, Mohamed; Lakrib, Mustapha; Sari, Tewfik
6
2018
Models to assess the effects of non-identical sex ratio augmentations of Wolbachia-carrying mosquitoes on the control of dengue disease. Zbl 1393.92054
Zhang, Xianghong; Tang, Sanyi; Liu, Qiyong; Cheke, Robert A.; Zhu, Huaiping
5
2018
Final size of a multi-group SIR epidemic model: irreducible and non-irreducible modes of transmission. Zbl 1392.92104
Magal, Pierre; Seydi, Ousmane; Webb, Glenn
4
2018
A structural methodology for modeling immune-tumor interactions including pro- and anti-tumor factors for clinical applications. Zbl 1409.92111
Arabameri, Abazar; Asemani, Davud; Hadjati, Jamshid
4
2018
Bayesian state-space modeling in gene expression data analysis: an application with biomarker prediction. Zbl 1409.92084
Bhattacharjee, Atanu; Vishwakarma, Gajendra K.; Thomas, Abin
4
2018
A Filippov model describing the effects of media coverage and quarantine on the spread of human influenza. Zbl 1380.92066
Chen, Can; Chong, Nyuk Sian; Smith?, Robert
4
2018
Application of optimal control to the onchocerciasis transmission model with treatment. Zbl 1390.92082
Omondi, Evans Otieno; Orwa, Titus Okello; Nyabadza, Farai
4
2018
Tree-based unrooted nonbinary phylogenetic networks. Zbl 1400.92366
Hendriksen, Michael
3
2018
Impact of disposing stray dogs on risk assessment and control of Echinococcosis in inner Mongolia. Zbl 1393.92052
Rong, Xinmiao; Fan, Meng; Sun, Xiangdong; Wang, Youming; Zhu, Huaiping
3
2018
Global stability for a \({2 n + 1}\) dimensional HIV/AIDS epidemic model with treatments. Zbl 1393.92051
Otunuga, Olusegun Michael
3
2018
Fluctuating periodic solutions and moment boundedness of a stochastic model for the bone remodeling process. Zbl 1393.92008
Jerez, S.; Díaz-Infante, S.; Chen, B.
3
2018
Random walks on binary strings applied to the somatic hypermutation of B-cells. Zbl 1392.92022
Balelli, Irene; Milišić, Vuk; Wainrib, Gilles
3
2018
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Cited by 20,589 Authors

186 Chen, Lansun
124 Teng, Zhi-dong
97 Jin, Zhen
88 Ruan, Shigui
86 Tang, Sanyi
85 Song, Xinyu
84 Xu, Rui
83 Jiang, Daqing
72 Takeuchi, Yasuhiro
70 Chattopadhyay, Joydev
70 Xiao, Yanni
69 Li, Xuezhi
69 Wu, Jianhong
67 Wang, Ke
66 Gumel, Abba B.
63 Freedman, Herbert Irving
63 Zhao, Xiao-Qiang
60 Wang, Wendi
59 Meng, Xinzhu
59 van den Driessche, Pauline
54 Feng, Zhilan
54 Martcheva, Maia
53 Cui, Jingan
53 Huo, Hai-Feng
51 Allen, Linda J. S.
51 Elaiw, Ahmed M.
51 Kar, Tapan Kumar
50 Webb, Glenn Francis
50 Yuan, Sanling
49 Liu, Shengqiang
48 Liu, Meng
47 Castillo-Chavez, Carlos
46 Chaplain, Mark A. J.
46 Kuang, Yang
46 Ma, Zhien
46 Qiu, Zhipeng
45 Samanta, Guru Prasad
45 Wang, Jinliang
45 Zou, Xingfu
43 Banerjee, Malay
43 d’Onofrio, Alberto
43 Venturino, Ezio
41 Ball, Frank G.
41 Banks, Harvey Thomas
41 Kang, Yun
41 Wei, Junjie
41 Zhang, Tonghua
40 Chen, Yuming
40 Lewis, Mark Alun
40 Li, Wan-Tong
40 Ma, Wanbiao
39 Liu, Xianning
39 Mode, Charles J.
39 Sun, Guiquan
39 Wang, Weiming
39 Yakubu, Abdul-Aziz
38 Chen, Fengde
38 Kumar Upadhyay, Ranjit
38 Yang, Junyuan
37 Cai, Liming
37 Cheke, Robert A.
37 Jiao, Jianjun
37 Wang, Xia
36 Byrne, Helen Mary
36 Kuniya, Toshikazu
36 Perelson, Alan S.
36 Wang, Jin
36 Zhou, Yicang
36 Zhu, Huaiping
35 Gao, Shujing
35 Lenhart, Suzanne M.
35 Rong, Libin
35 Steel, Michael Anthony
34 Hayat, Tasawar
34 Mushayabasa, Steady
34 Voit, Eberhard Otto
34 Xu, Shihe
34 Zhang, Tailei
33 Greenhalgh, David
33 Pei, Yongzhen
33 Wang, Feng-Bin
33 Zhang, Fengqin
32 Cressman, Ross
32 Lou, Yuan
32 Maini, Philip Kumar
32 Smith, Hal Leslie
31 Cai, Yongli
31 Friedman, Avner
31 Gopalsamy, Kondalsamy
31 Hethcote, Herbert W.
31 Li, Jia
31 Liu, Qun
31 Liu, Zhijun
31 Misra, Arvind Kumar
31 Yakovlev, Andrej Yu.
31 Zhang, Long
30 Bhunu, Claver Pedzisai
30 Buonomo, Bruno
30 Cosner, Chris
30 Cui, Shangbin
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Cited in 748 Journals

2,414 Mathematical Biosciences
1,057 Journal of Theoretical Biology
909 Bulletin of Mathematical Biology
901 Journal of Mathematical Biology
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31 Computer Methods in Applied Mechanics and Engineering
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