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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: Indexed cover-to-cover
Documents Indexed: 4,364 Publications (since 1967)
References Indexed: 4,282 Publications with 124,074 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 Martcheva, Maia
11 Savageau, Michael A.
11 Steel, Michael Anthony
11 Vasudevan, Ramabhadra
11 Waltman, Paul Elvis
10 Britton, Tom
10 Greenhalgh, David
10 Hadeler, Karl-Peter
10 Johnston, Peter Rex
10 May, Robert McCredie
10 Moolgavkar, Suresh H.
10 Sorribas, Albert
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 Müller, Johannes
9 Shiraishi, Fumihide
9 Wu, Jianhong
9 Zhu, Huaiping
8 Chiang, Chin Long
8 Cosner, Chris
8 Diekmann, Odo
8 Gandolfi, Alberto
8 Gopalsamy, Kondalsamy
8 Hearon, John Z.
8 Kuznetsov, Andrey V.
8 Lange, Kenneth L.
8 Lefkovitch, L. P.
8 Li, Jia
8 Luebeck, E. Georg
8 Maini, Philip Kumar
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 Auger, Pierre M.
7 Bell, Jonathan
7 Brandeau, Margaret L.
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 Kretzschmar, Mirjam
...and 6,255 more Authors
all top 5

Fields

4,086 Biology and other natural sciences (92-XX)
572 Probability theory and stochastic processes (60-XX)
532 Ordinary differential equations (34-XX)
399 Statistics (62-XX)
382 Systems theory; control (93-XX)
346 Numerical analysis (65-XX)
285 Partial differential equations (35-XX)
267 Dynamical systems and ergodic theory (37-XX)
189 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
104 Calculus of variations and optimal control; optimization (49-XX)
85 Computer science (68-XX)
82 Fluid mechanics (76-XX)
76 Combinatorics (05-XX)
70 Integral equations (45-XX)
69 Operations research, mathematical programming (90-XX)
51 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)
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)
7 Integral transforms, operational calculus (44-XX)
6 Mathematical logic and foundations (03-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

3,299 Publications have been cited 40,265 times in 21,696 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.
504
1978
A generalization of the Kermack-McKendrick deterministic epidemic model. Zbl 0398.92026
Capasso, Vincenzo; Serio, Gabriella
455
1978
Dynamics of HIV infection of CD4\(^ +\) T cells. Zbl 0796.92016
Perelson, Alan S.; Kirschner, Denise E.; de Boer, Rob
323
1993
A time-delay model of single-species growth with stage structure. Zbl 0719.92017
Aiello, Walter G.; Freedman, H. I.
302
1990
A delay-differential equation model of HIV infection of \(\text{CD}4^+\) T-cells. Zbl 0981.92009
Culshaw, Rebecca V.; Ruan, Shigui
288
2000
A deterministic model for gonorrhea in a nonhomogeneous population. Zbl 0344.92016
Lajmanovich, Ana; Yorke, James A.
281
1976
Qualitative analyses of communicable disease models. Zbl 0326.92017
Hethcote, Herbert W.
252
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
232
1999
Persistence in models of three interacting predator-prey populations. Zbl 0534.92026
Freedman, H. I.; Waltman, Paul
224
1984
Modeling and analysis of a predator-prey model with disease in the prey. Zbl 0978.92031
Xiao, Yanni; Chen, Lansun
222
2001
Global analysis of an epidemic model with nonmonotone incidence rate. Zbl 1119.92042
Xiao, Dongmei; Ruan, Shigui
208
2007
On the diffusion of biological populations. Zbl 0362.92007
Gurtin, Morton E.; MacCamy, Richard C.
206
1977
Global stability for the SEIR model in epidemiology. Zbl 0821.92022
Li, Michael Y.; Muldowney, James S.
198
1995
Mathematical analysis of delay differential equation models of HIV-1 infection. Zbl 0992.92035
Nelson, Patrick W.; Perelson, Alan S.
189
2002
Uniqueness of limit cycles in Gause-type models of predator-prey systems. Zbl 0642.92016
Kuang, Yang; Freedman, H. I.
169
1988
A model of HIV-1 pathogenesis that includes an intracellular delay. Zbl 0942.92017
Nelson, Patrick W.; Murray, James D.; Perelson, Alan S.
165
2000
A simple vaccination model with multiple endemic states. Zbl 0954.92023
Kribs-Zaleta, Christopher M.; Velasco-Hernández, Jorge X.
165
2000
Growth of nonnecrotic tumors in the presence and absence of inhibitors. Zbl 0836.92011
Byrne, H. M.; Chaplain, M. A. J.
163
1995
An epidemic model in a patchy environment. Zbl 1048.92030
Wang, Wendi; Zhao, Xiao-Qiang
152
2004
Permanence and the dynamics of biological systems. Zbl 0783.92002
Hutson, Vivian; Schmitt, Klaus
151
1992
Stability properties of pulse vaccination strategy in SEIR epidemic model. Zbl 0991.92025
d’Onofrio, Alberto
151
2002
Spreading speeds as slowest wave speeds for cooperative systems. Zbl 1075.92043
Li, Bingtuan; Weinberger, Hans F.; Lewis, Mark A.
148
2005
Mathematical analysis of the global dynamics of a model for HIV infection of CD4\(^{+}\) T cells. Zbl 1086.92035
Wang, Liancheng; Li, Michael Y.
145
2006
Optimal harvesting and stability for two-species competitive system with stage structure. Zbl 1028.34049
Song, Xinyu; Chen, Lansun
142
2001
Uniform persistence and permanence for non-autonomous semiflows in population biology. Zbl 0970.37061
Thieme, Horst R.
141
2000
Analysis of a dengue disease transmission model. Zbl 0930.92020
Esteva, Lourdes; Vargas, Cristobal
140
1998
Nonlinear aspects of chemotaxis. Zbl 0481.92010
Childress, S.; Percus, J. K.
139
1981
Backward bifurcation of an epidemic model with treatment. Zbl 1093.92054
Wang, Wendi
135
2006
Biological growth and spread modeled by systems of recursions. I: Mathematical theory. Zbl 0706.92014
Lui, Roger
134
1989
Backward bifurcations in dengue transmission dynamics. Zbl 1156.92036
Garba, S. M.; Gumel, A. B.; Bakar, M. R. Abu
130
2008
Growth of necrotic tumors in the presence and absence of inhibitors. Zbl 0856.92010
Byrne, H. M.; Chaplain, M. A. J.
128
1996
The differential infectivity and staged progression models for the transmission of HIV. Zbl 0942.92030
Hyman, James M.; Li, Jia; Stanley, E. Ann
127
1999
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
122
1988
Global stability and persistence of simple food chains. Zbl 0572.92025
Freedman, H. I.; So, J. W.-H.
121
1985
The dynamics of an infectious disease in a population with birth pulses. Zbl 0928.92027
Roberts, M. G.; Kao, R. R.
114
1998
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.
112
1998
Mathematical analysis of some three-species food-chain models. Zbl 0363.92022
Freedman, H. I.; Waltman, Paul
111
1977
Effects of quarantine in six endemic models for infectious diseases. Zbl 1019.92030
Hethcote, Herbert; Zhien, Ma; Shengbing, Liao
109
2002
Backward bifurcation in epidemic control. Zbl 0904.92031
Hadeler, K. P.; van den Driessche, P.
106
1997
Discrete-time growth-dispersal models. Zbl 0595.92011
Kot, Mark; Schaffer, William M.
105
1986
Predator-prey dynamics in models of prey dispersal in two-patch environments. Zbl 0793.92014
Kuang, Yang; Takeuchi, Yasuhiro
104
1994
Speeds of invasion in a model with strong or weak Allee effects. Zbl 0978.92033
Wang, Mei-Hui; Kot, Mark
104
2001
Comparison of deterministic and stochastic SIS and SIR models in discrete time. Zbl 0978.92024
Allen, Linda J. S.; Burgin, Amy M.
102
2000
Comparison of phylogenetic trees. Zbl 0451.92006
Robinson, D. F.; Foulds, L. R.
100
1981
Spreading disease: Integro-differential equations old and new. Zbl 1036.92030
Medlock, Jan; Kot, Mark
100
2003
Stochastic epidemic models: a survey. Zbl 1188.92031
Britton, Tom
100
2010
Some equations modelling growth processes and gonorrhea epidemics. Zbl 0251.92011
Cooke, Kenneth L.; Yorke, James A.
98
1973
Global stability of an SIR epidemic model with information dependent vaccination. Zbl 1152.92019
Buonomo, Bruno; d’Onofrio, Alberto; Lacitignola, Deborah
97
2008
Global stability for cholera epidemic models. Zbl 1217.92068
Tian, Jianjun Paul; Wang, Jin
93
2011
Some discrete-time SI, SIR, and SIS epidemic models. Zbl 0807.92022
Allen, Linda J. S.
92
1994
The stage-structured predator-prey model and optimal harvesting policy. Zbl 0961.92037
Zhang, Xinan; Chen, Lansun; Neumann, Avidan U.
92
2000
On global stability of a predator-prey system. Zbl 0383.92014
Hsu, S. B.
91
1978
Models for transmission of disease with immigration of infectives. Zbl 0995.92041
Brauer, Fred; van den Driessche, P.
89
2001
System identifiability based on the power series expansion of the solution. Zbl 0393.92008
Pohjanpalo, H.
88
1978
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
88
2011
Epidemiological models for heterogeneous populations: Proportionate mixing, parameter estimation, and immunization programs. Zbl 0619.92006
Hethcote, Herbert W.; van Ark, James W.
84
1987
Influence of stochastic perturbation on prey-predator systems. Zbl 1124.92055
Rudnicki, Ryszard; Pichór, Katarzyna
84
2007
Remarks on food chain dynamics. Zbl 0844.92025
Kuznetsov, Yu. A.; Rinaldi, S.
83
1996
Periodicity in an epidemic model with a generalized non-linear incidence. Zbl 1073.92040
Alexander, M. E.; Moghadas, S. M.
83
2004
Heterogeneity in disease-transmission modeling. Zbl 0454.92020
Nold, Annett
83
1980
A ratio-dependent food chain model and its applications to biological control. Zbl 1036.92033
Hsu, Sze-Bi; Hwang, Tzy-Wei; Kuang, Yang
82
2003
Persistence in a model of three competitive populations. Zbl 0584.92018
Freedman, H. I.; Waltman, Paul
82
1985
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
82
2012
A core group model for disease transmission. Zbl 0832.92021
Hadeler, K. P.; Castillo-Chavez, C.
81
1995
A periodicity threshold theorem for epidemics and population growth. Zbl 0341.92012
Cooke, Kenneth L.; Kaplan, James L.
80
1976
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
80
2015
Propagation of HBV with spatial dependence. Zbl 1129.92052
Wang, Kaifa; Wang, Wendi
80
2007
Optimal harvesting policy for single population with periodic coefficients. Zbl 0940.92030
Fan, Meng; Wang, Ke
79
1998
Heroin epidemics, treatment and ODE modelling. Zbl 1116.92062
White, Emma; Comiskey, Catherine
79
2007
Oscillatory viral dynamics in a delayed HIV pathogenesis model. Zbl 1168.92031
Wang, Yan; Zhou, Yicang; Wu, Jianhong; Heffernan, Jane
77
2009
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
76
1999
Graphical stability, enrichment, and pest control by a natural enemy. Zbl 0373.92023
Freedman, H. I.
76
1976
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.
76
2007
Analysis of logistic growth models. Zbl 0993.92028
Tsoularis, A.; Wallace, J.
76
2002
The effect of time delays on the dynamics of avascular tumor growth. Zbl 0904.92023
Byrne, H. M.
75
1997
Role of optimal control theory in cancer chemotherapy. Zbl 0702.92007
Swan, George W.
75
1990
Some simple models for nonlinear age-dependent population dynamics. Zbl 0397.92025
Gurtin, Morton E.; MacCamy, Richard C.
74
1979
On the stability properties of a stochastic model for phage-bacteria interaction in open marine environment. Zbl 0987.92027
Carletti, M.
73
2002
Using mathematical models to understand the AIDS epidemic. Zbl 0727.92025
Hyman, James M.; Stanley, E. Ann
72
1988
A mathematical model for the global spread of influenza. Zbl 0567.92017
Rvachev, Leonid A.; Longini, Ira M. jun.
71
1985
Stability of the endemic equilibrium in epidemic models with subpopulations. Zbl 0582.92024
Hethcote, Herbert W.; Thieme, Horst R.
70
1985
Some threshold results for models of myelinated nerves. Zbl 0454.92009
Bell, Jonathan
70
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
69
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.
69
2006
Analysis of a mathematical model of the effect of inhibitors on the growth of tumors. Zbl 0998.92022
Cui, Shangbin; Friedman, Avner
67
2000
Destabilizing effect of cannibalism on a structured predator-prey system. Zbl 0943.92030
Magnússon, Kjartan G.
67
1999
Global dynamics of an SEIR epidemic model with saturating contact rate. Zbl 1021.92040
Zhang, Juan; Ma, Zhien
67
2003
Two-event models for carcinogenesis: Incidence curves for childhood and adult tumors. Zbl 0422.92006
Moolgavkar, Suresh H.; Venzon, David J.
66
1979
Optimal harvesting from a population in a stochastic crowded environment. Zbl 0885.60052
Lungu, E. M.; Øksendal, B.
66
1997
Movement toward better environments and the evolution of rapid diffusion. Zbl 1105.92036
Cantrell, Robert Stephen; Cosner, Chris; Lou, Yuan
66
2006
Avian-human influenza epidemic model. Zbl 1114.92058
Iwami, Shingo; Takeuchi, Yasuhiro; Liu, Xianning
66
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.
66
1983
Modeling and analysis of a marine bacteriophage infection. Zbl 0946.92012
Beretta, Edoardo; Kuang, Yang
65
1998
A simplified mathematical model of tumor growth. Zbl 0601.92007
Adam, John A.
65
1986
Models for integrated pest control and their biological implications. Zbl 1156.92046
Tang, Sanyi; Cheke, Robert A.
64
2008
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.
63
2007
The type-reproduction number \(T\) in models for infectious disease control. Zbl 1124.92043
Heesterbeek, J. A. P.; Roberts, M. G.
63
2007
Persistence and extinction of a population in a polluted environment. Zbl 0714.92027
Ma, Zhien; Cui, Guirong; Wang, Wendi
63
1990
Age-structured and two-delay models for erythropoiesis. Zbl 0832.92005
Bélair, Jacques; Mackey, Michael C.; Mahaffy, Joseph M.
62
1995
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.
1
2022
Discrete-time models for interactive wild and sterile mosquitoes with general time steps. Zbl 1489.37111
Yu, Jianshe; Li, Jia
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.
3
2021
Optimal control of the SIR model in the presence of transmission and treatment uncertainty. Zbl 1474.92102
Gatto, Nicole M.; Schellhorn, Henry
3
2021
Immunity after COVID-19: protection or sensitization? Zbl 1460.92118
Danchin, Antoine; Turinici, Gabriel
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
Defining phylogenetic networks using ancestral profiles. Zbl 1475.92114
Bai, Allan; Erdős, Péter L.; Semple, Charles; Steel, Mike
2
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
2
2021
Squaring within the Colless index yields a better balance index. Zbl 1457.92123
Bartoszek, Krzysztof; Coronado, Tomás M.; Mir, Arnau; Rosselló, Francesc
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
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
1
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
1
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
1
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.
1
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.
1
2021
Cell orientation under stretch: stability of a linear viscoelastic model. Zbl 1477.74076
Lucci, Giulio; Giverso, Chiara; Preziosi, Luigi
1
2021
His and her mathematical models of physiological systems. Zbl 1475.92043
Layton, Anita T.
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.
48
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
14
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.
13
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
12
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.
9
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
8
2020
The quasi-steady-state approximations revisited: timescales, small parameters, singularities, and normal forms in enzyme kinetics. Zbl 1448.92093
Eilertsen, Justin; Schnell, Santiago
6
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
6
2020
European and US lockdowns and second waves during the COVID-19 pandemic. Zbl 1460.92198
Glass, David H.
5
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
4
2020
Sensitivity analysis methods in the biomedical sciences. Zbl 1437.92063
Qian, George; Mahdi, Adam
4
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
4
2020
On the benefits of flattening the curve: a perspective. Zbl 1448.92290
Feng, Zhilan; Glasser, John W.; Hill, Andrew N.
4
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.
3
2020
Simulating COVID-19 in a university environment. Zbl 1453.92301
Gressman, Philip T.; Peck, Jennifer R.
3
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
3
2020
About biomass overyielding of mixed cultures in batch processes. Zbl 1435.92040
Rapaport, A.; Nidelet, T.; El Aida, S.; Harmand, J.
2
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
2
2020
Investigation into the role of macrophages heterogeneity on solid tumour aggregations. Zbl 1435.92015
Eftimie, R.
2
2020
Addition of flow reactions preserving multistationarity and bistability. Zbl 1437.92047
Cappelletti, Daniele; Feliu, Elisenda; Wiuf, Carsten
2
2020
Risk structured model of cholera infections in Cameroon. Zbl 1437.92113
Che, Eric Ngang; Kang, Yeona; Yakubu, Abdul-Aziz
2
2020
Assessing the role of human mobility on malaria transmission. Zbl 1437.92132
Mukhtar, Abdulaziz Y. A.; Munyakazi, Justin B.; Ouifki, Rachid
2
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
2
2020
Crossover in spreading behavior due to memory in population dynamics. Zbl 1448.92243
Oliveira, Karen A.; Berbert, Juliana M.
2
2020
Delay stability of reaction systems. Zbl 1454.92016
Craciun, Gheorghe; Mincheva, Maya; Pantea, Casian; Yu, Polly Y.
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
Application of the Goodwin model to autoregulatory feedback for stochastic gene expression. Zbl 1450.35261
Kozdęba, Agnieszka; Tomski, Andrzej
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 COVID-19 pandemic using Bayesian analysis with application to Slovene data. Zbl 1453.92310
Manevski, Damjan; Ružić Gorenjec, Nina; Kejžar, Nataša; Blagus, Rok
2
2020
Modeling tau transport in the axon initial segment. Zbl 1453.92075
Kuznetsov, Ivan A.; Kuznetsov, Andrey V.
2
2020
Stochastic dynamics in a time-delayed model for autoimmunity. Zbl 1448.92061
Fatehi, Farzad; Kyrychko, Yuliya N.; Blyuss, Konstantin B.
1
2020
A new approach to simulating stochastic delayed systems. Zbl 1448.92075
Fatehi, Farzad; Kyrychko, Yuliya N.; Blyuss, Konstantin B.
1
2020
On the role of the epithelium in a model of sodium exchange in renal tubules. Zbl 1436.92007
Marulli, Marta; Edwards, Aurélie; Milišić, Vuk; Vauchelet, Nicolas
1
2020
Experimental design for parameter estimation in steady-state linear models of metabolic networks. Zbl 1437.92048
Frøysa, Håvard G.; Skaug, Hans J.; Alendal, Guttorm
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
Complexity results for autocatalytic network models. Zbl 1451.92153
Weller-Davies, Oliver; Steel, Mike; Hein, Jotun
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
Small binding-site clearance delays are not negligible in gene expression modeling. Zbl 1448.92083
Trofimenkoff, Elizabeth A. M.; Roussel, Marc R.
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
An explicitly multi-component arterial gas embolus dissolves much more slowly than its one-component approximation. Zbl 1452.92015
Goldman, Saul; Solano-Altamirano, J. M.
1
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.
1
2020
Global redistribution and local migration in semi-discrete host-parasitoid population dynamic models. Zbl 1451.92251
Emerick, Brooks; Singh, Abhyudai; Chhetri, Safal Raut
1
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.
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
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
1
2020
Multiscale modelling of cancer response to oncolytic viral therapy. Zbl 1425.92103
Alzahrani, Talal; Eftimie, Raluca; Trucu, Dumitru
18
2019
Dynamical analysis of a stage-structured predator-prey model with cannibalism. Zbl 1409.92217
Zhang, Fengqin; Chen, Yuming; Li, Jianquan
14
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.
14
2019
Implementation of control strategies for sterile insect techniques. Zbl 1425.92126
Bliman, Pierre-Alexandre; Cardona-Salgado, Daiver; Dumont, Yves; Vasilieva, Olga
13
2019
Optimal control of epidemic size and duration with limited resources. Zbl 1425.92178
Bolzoni, Luca; Bonacini, Elena; Della Marca, Rossella; Groppi, Maria
13
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.
10
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.
9
2019
Effect of kernels on spatio-temporal patterns of a non-local prey-predator model. Zbl 1425.92159
Pal, Swadesh; Ghorai, S.; Banerjee, Malay
9
2019
Hydra effect and paradox of enrichment in discrete-time predator-prey models. Zbl 1425.92166
Weide, Vinicius; Varriale, Maria C.; Hilker, Frank M.
9
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
8
2019
Modeling the impact of sterile males on an Aedes aegypti population with optimal control. Zbl 1425.92131
Multerer, Lea; Smith, Thomas; Chitnis, Nakul
8
2019
A class of phylogenetic networks reconstructable from ancestral profiles. Zbl 1421.05085
Erdős, Péter L.; Semple, Charles; Steel, Mike
8
2019
Optimal control of a multi-patch dengue model under the influence of Wolbachia bacterium. Zbl 1425.92176
Bock, Wolfgang; Jayathunga, Yashika
8
2019
Mathematical modelling of cancer stem cell-targeted immunotherapy. Zbl 1437.92066
Sigal, Daniel; Przedborski, Michelle; Sivaloganathan, Darshan; Kohandel, Mohammad
5
2019
The effect of random dispersal on competitive exclusion - a review. Zbl 1437.92097
Girardin, Léo
4
2019
Dynamics of a plant-nectar-pollinator model and its approximate equations. Zbl 1409.92273
Wang, Yuanshi
4
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.
4
2019
On the Z-type control of backward bifurcations in epidemic models. Zbl 1425.92187
Lacitignola, Deborah; Diele, Fasma
4
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.
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
Optimizing multi-modal cancer treatment under 3D spatio-temporal tumor growth. Zbl 1409.92116
Kıbış, Eyyüb Y.; Büyüktahtakın, İ. Esra
3
2019
Developing a new approach for (biological) optimal control problems: application to optimization of laccase production with a comparison between response surface methodology and novel geometric procedure. Zbl 1409.92102
Ghobadi Nejad, Zahra; Borghei, Seyed Mehdi; Yaghmaei, Soheila; Hasan-Zadeh, Atefeh
3
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
3
2019
Impulsive model of endocrine regulation with a local continuous feedback. Zbl 1425.92055
Taghvafard, Hadi; Medvedev, Alexander; Proskurnikov, Anton V.; Cao, Ming
3
2019
Robust model selection between population growth and multiple merger coalescents. Zbl 1425.92141
Koskela, Jere; Berenguer, Maite Wilke
3
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
3
2019
Numerical optimal control of a size-structured PDE model for metastatic cancer treatment. Zbl 1425.92114
Liu, Jun; Wang, Xiang-Sheng
3
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.
3
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.
2
2019
Mathematical modeling of dispersal phenomenon in biofilms. Zbl 1409.92262
D’Acunto, B.; Frunzo, L.; Klapper, I.; Mattei, M. R.; Stoodley, P.
2
2019
Mathematical analysis of a tumour-immune interaction model: a moving boundary problem. Zbl 1408.35231
Malinzi, Joseph; Amima, Innocenter
2
2019
Dynamical behaviors of stochastic virus dynamic models with saturation responses. Zbl 1418.60064
Shi, Peilin; Dong, Lingzhen
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
Coupling multiscale within-host dynamics and between-host transmission with recovery (SIR) dynamics. Zbl 1457.92154
Almocera, Alexis Erich S.; Hernandez-Vargas, Esteban A.
2
2019
Equilibria in a two-species fishery. Zbl 1409.92188
Breton, Michèle; Dahmouni, Ilyass; Zaccour, Georges
2
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.
2
2019
Comparison of stochastic and deterministic frameworks in dengue modelling. Zbl 1425.92180
Champagne, Clara; Cazelles, Bernard
2
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
2
2019
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186 Chen, Lansun
147 Teng, Zhi-dong
141 Jiang, Daqing
112 Jin, Zhen
95 Tang, Sanyi
94 Ruan, Shigui
91 Xu, Rui
89 Song, Xinyu
78 Takeuchi, Yasuhiro
77 Xiao, Yanni
75 Chattopadhyay, Joydev
73 Li, Xuezhi
73 Wu, Jianhong
69 Gumel, Abba B.
68 Huo, Hai-Feng
67 Elaiw, Ahmed M.
67 Meng, Xinzhu
67 van den Driessche, Pauline
67 Wang, Ke
66 Zhao, Xiao-Qiang
65 Martcheva, Maia
64 Hayat, Tasawar
63 Freedman, Herbert Irving
61 Wang, Wendi
60 Kar, Tapan Kumar
58 Yuan, Sanling
57 Cui, Jingan
56 Feng, Zhilan
55 Liu, Qun
54 Allen, Linda J. S.
53 Liu, Meng
53 Qiu, Zhipeng
53 Samanta, Guru Prasad
52 Zhang, Tonghua
50 Kuang, Yang
50 Liu, Shengqiang
50 Webb, Glenn Francis
48 Banerjee, Malay
48 Castillo-Chavez, Carlos
48 Chaplain, Mark A. J.
48 Wang, Jinliang
48 Wang, Weiming
47 Al-saedi, Ahmed Eid Salem
47 Zou, Xingfu
46 Kang, Yun
46 Ma, Zhien
46 Venturino, Ezio
45 Chen, Yuming
45 Kumar Upadhyay, Ranjit
45 Ma, Wanbiao
45 Rong, Libin
45 Sun, Guiquan
44 d’Onofrio, Alberto
44 Khan, Muhammad Altaf
44 Lewis, Mark Alun
44 Li, Wan-Tong
43 Wei, Junjie
43 Zhu, Huaiping
42 Ball, Frank G.
42 Chen, Fengde
42 Gao, Shujing
42 Misra, Arvind Kumar
42 Yakubu, Abdul-Aziz
42 Yang, Junyuan
41 Banks, Harvey Thomas
41 Liu, Xianning
41 Wang, Xia
40 Kuniya, Toshikazu
40 Wang, Jin
39 Byrne, Helen Mary
39 Cai, Liming
39 Cai, Yongli
39 Mode, Charles J.
38 Cheke, Robert A.
38 Li, Jia
38 Liu, Zhijun
38 Lou, Yuan
37 Jiao, Jianjun
37 Mushayabasa, Steady
37 Xu, Shihe
37 Zhang, Tailei
36 Lenhart, Suzanne M.
36 Pei, Yongzhen
36 Perelson, Alan S.
36 Samanta, Sudip K.
36 Steel, Michael Anthony
36 Wang, Feng-Bin
36 Zhang, Long
36 Zhou, Yicang
35 Maini, Philip Kumar
34 Ghosh, Mini
34 Voit, Eberhard Otto
34 Yuan, Rong
34 Zhang, Fengqin
33 Buonomo, Bruno
33 Cressman, Ross
33 Gakkhar, Sunita
33 Greenhalgh, David
33 Zhou, Xueyong
32 Fan, Meng
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2,469 Mathematical Biosciences
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41 ZAMP. Zeitschrift für angewandte Mathematik und Physik
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