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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: 4,349 Publications (since 1967)
References Indexed: 4,267 Publications with 123,312 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 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
13 Zheng, Qi
12 Chase, J. Geoffrey
12 Eisenfeld, Jerome
12 Hanin, Leonid G.
12 Kooi, Bob W.
11 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 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 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 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
7 Kuznetsov, Ivan A.
7 Lefèvre, Claude
...and 6,211 more Authors
all top 5

Fields

4,071 Biology and other natural sciences (92-XX)
571 Probability theory and stochastic processes (60-XX)
529 Ordinary differential equations (34-XX)
399 Statistics (62-XX)
382 Systems theory; control (93-XX)
346 Numerical analysis (65-XX)
284 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

3,271 Publications have been cited 38,547 times in 20,726 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.
483
1978
A generalization of the Kermack-McKendrick deterministic epidemic model. Zbl 0398.92026
Capasso, Vincenzo; Serio, Gabriella
405
1978
Dynamics of HIV infection of CD4\(^ +\) T cells. Zbl 0796.92016
Perelson, Alan S.; Kirschner, Denise E.; de Boer, Rob
306
1993
A time-delay model of single-species growth with stage structure. Zbl 0719.92017
Aiello, Walter G.; Freedman, H. I.
301
1990
A delay-differential equation model of HIV infection of \(\text{CD}4^+\) T-cells. Zbl 0981.92009
Culshaw, Rebecca V.; Ruan, Shigui
271
2000
A deterministic model for gonorrhea in a nonhomogeneous population. Zbl 0344.92016
Lajmanovich, Ana; Yorke, James A.
256
1976
Qualitative analyses of communicable disease models. Zbl 0326.92017
Hethcote, Herbert W.
240
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
225
1999
Modeling and analysis of a predator-prey model with disease in the prey. Zbl 0978.92031
Xiao, Yanni; Chen, Lansun
211
2001
Persistence in models of three interacting predator-prey populations. Zbl 0534.92026
Freedman, H. I.; Waltman, Paul
211
1984
On the diffusion of biological populations. Zbl 0362.92007
Gurtin, Morton E.; MacCamy, Richard C.
202
1977
Global analysis of an epidemic model with nonmonotone incidence rate. Zbl 1119.92042
Xiao, Dongmei; Ruan, Shigui
194
2007
Global stability for the SEIR model in epidemiology. Zbl 0821.92022
Li, Michael Y.; Muldowney, James S.
190
1995
Mathematical analysis of delay differential equation models of HIV-1 infection. Zbl 0992.92035
Nelson, Patrick W.; Perelson, Alan S.
183
2002
Uniqueness of limit cycles in Gause-type models of predator-prey systems. Zbl 0642.92016
Kuang, Yang; Freedman, H. I.
163
1988
Growth of nonnecrotic tumors in the presence and absence of inhibitors. Zbl 0836.92011
Byrne, H. M.; Chaplain, M. A. J.
160
1995
A model of HIV-1 pathogenesis that includes an intracellular delay. Zbl 0942.92017
Nelson, Patrick W.; Murray, James D.; Perelson, Alan S.
160
2000
A simple vaccination model with multiple endemic states. Zbl 0954.92023
Kribs-Zaleta, Christopher M.; Velasco-Hernández, Jorge X.
153
2000
Stability properties of pulse vaccination strategy in SEIR epidemic model. Zbl 0991.92025
d’Onofrio, Alberto
150
2002
Permanence and the dynamics of biological systems. Zbl 0783.92002
Hutson, Vivian; Schmitt, Klaus
148
1992
An epidemic model in a patchy environment. Zbl 1048.92030
Wang, Wendi; Zhao, Xiao-Qiang
147
2004
Spreading speeds as slowest wave speeds for cooperative systems. Zbl 1075.92043
Li, Bingtuan; Weinberger, Hans F.; Lewis, Mark A.
143
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.
138
2006
Optimal harvesting and stability for two-species competitive system with stage structure. Zbl 1028.34049
Song, Xinyu; Chen, Lansun
138
2001
Uniform persistence and permanence for non-autonomous semiflows in population biology. Zbl 0970.37061
Thieme, Horst R.
137
2000
Nonlinear aspects of chemotaxis. Zbl 0481.92010
Childress, S.; Percus, J. K.
136
1981
Analysis of a dengue disease transmission model. Zbl 0930.92020
Esteva, Lourdes; Vargas, Cristobal
134
1998
Biological growth and spread modeled by systems of recursions. I: Mathematical theory. Zbl 0706.92014
Lui, Roger
131
1989
Growth of necrotic tumors in the presence and absence of inhibitors. Zbl 0856.92010
Byrne, H. M.; Chaplain, M. A. J.
126
1996
Backward bifurcation of an epidemic model with treatment. Zbl 1093.92054
Wang, Wendi
125
2006
Backward bifurcations in dengue transmission dynamics. Zbl 1156.92036
Garba, S. M.; Gumel, A. B.; Bakar, M. R. Abu
124
2008
The differential infectivity and staged progression models for the transmission of HIV. Zbl 0942.92030
Hyman, James M.; Li, Jia; Stanley, E. Ann
121
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
120
1988
Global stability and persistence of simple food chains. Zbl 0572.92025
Freedman, H. I.; So, J. W.-H.
116
1985
The dynamics of an infectious disease in a population with birth pulses. Zbl 0928.92027
Roberts, M. G.; Kao, R. R.
113
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.
109
1998
Mathematical analysis of some three-species food-chain models. Zbl 0363.92022
Freedman, H. I.; Waltman, Paul
107
1977
Backward bifurcation in epidemic control. Zbl 0904.92031
Hadeler, K. P.; van den Driessche, P.
103
1997
Discrete-time growth-dispersal models. Zbl 0595.92011
Kot, Mark; Schaffer, William M.
102
1986
Spreading disease: Integro-differential equations old and new. Zbl 1036.92030
Medlock, Jan; Kot, Mark
99
2003
Predator-prey dynamics in models of prey dispersal in two-patch environments. Zbl 0793.92014
Kuang, Yang; Takeuchi, Yasuhiro
99
1994
Effects of quarantine in six endemic models for infectious diseases. Zbl 1019.92030
Hethcote, Herbert; Zhien, Ma; Shengbing, Liao
96
2002
Some equations modelling growth processes and gonorrhea epidemics. Zbl 0251.92011
Cooke, Kenneth L.; Yorke, James A.
96
1973
Speeds of invasion in a model with strong or weak Allee effects. Zbl 0978.92033
Wang, Mei-Hui; Kot, Mark
95
2001
Global stability of an SIR epidemic model with information dependent vaccination. Zbl 1152.92019
Buonomo, Bruno; d’Onofrio, Alberto; Lacitignola, Deborah
94
2008
Comparison of deterministic and stochastic SIS and SIR models in discrete time. Zbl 0978.92024
Allen, Linda J. S.; Burgin, Amy M.
94
2000
Stochastic epidemic models: a survey. Zbl 1188.92031
Britton, Tom
90
2010
On global stability of a predator-prey system. Zbl 0383.92014
Hsu, S. B.
89
1978
The stage-structured predator-prey model and optimal harvesting policy. Zbl 0961.92037
Zhang, Xinan; Chen, Lansun; Neumann, Avidan U.
89
2000
Comparison of phylogenetic trees. Zbl 0451.92006
Robinson, D. F.; Foulds, L. R.
89
1981
Models for transmission of disease with immigration of infectives. Zbl 0995.92041
Brauer, Fred; van den Driessche, P.
87
2001
System identifiability based on the power series expansion of the solution. Zbl 0393.92008
Pohjanpalo, H.
86
1978
Global stability for cholera epidemic models. Zbl 1217.92068
Tian, Jianjun Paul; Wang, Jin
86
2011
Some discrete-time SI, SIR, and SIS epidemic models. Zbl 0807.92022
Allen, Linda J. S.
86
1994
Persistence in a model of three competitive populations. Zbl 0584.92018
Freedman, H. I.; Waltman, Paul
82
1985
Heterogeneity in disease-transmission modeling. Zbl 0454.92020
Nold, Annett
82
1980
A ratio-dependent food chain model and its applications to biological control. Zbl 1036.92033
Hsu, Sze-Bi; Hwang, Tzy-Wei; Kuang, Yang
80
2003
Epidemiological models for heterogeneous populations: Proportionate mixing, parameter estimation, and immunization programs. Zbl 0619.92006
Hethcote, Herbert W.; van Ark, James W.
80
1987
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
80
2011
Periodicity in an epidemic model with a generalized non-linear incidence. Zbl 1073.92040
Alexander, M. E.; Moghadas, S. M.
79
2004
A core group model for disease transmission. Zbl 0832.92021
Hadeler, K. P.; Castillo-Chavez, C.
79
1995
Remarks on food chain dynamics. Zbl 0844.92025
Kuznetsov, Yu. A.; Rinaldi, S.
79
1996
A periodicity threshold theorem for epidemics and population growth. Zbl 0341.92012
Cooke, Kenneth L.; Kaplan, James L.
79
1976
Optimal harvesting policy for single population with periodic coefficients. Zbl 0940.92030
Fan, Meng; Wang, Ke
77
1998
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
76
2012
Graphical stability, enrichment, and pest control by a natural enemy. Zbl 0373.92023
Freedman, H. I.
76
1976
Role of optimal control theory in cancer chemotherapy. Zbl 0702.92007
Swan, George W.
74
1990
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
74
2015
Some simple models for nonlinear age-dependent population dynamics. Zbl 0397.92025
Gurtin, Morton E.; MacCamy, Richard C.
73
1979
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
73
1999
Propagation of HBV with spatial dependence. Zbl 1129.92052
Wang, Kaifa; Wang, Wendi
73
2007
The effect of time delays on the dynamics of avascular tumor growth. Zbl 0904.92023
Byrne, H. M.
72
1997
Using mathematical models to understand the AIDS epidemic. Zbl 0727.92025
Hyman, James M.; Stanley, E. Ann
71
1988
Analysis of logistic growth models. Zbl 0993.92028
Tsoularis, A.; Wallace, J.
70
2002
Oscillatory viral dynamics in a delayed HIV pathogenesis model. Zbl 1168.92031
Wang, Yan; Zhou, Yicang; Wu, Jianhong; Heffernan, Jane
70
2009
A mathematical model for the global spread of influenza. Zbl 0567.92017
Rvachev, Leonid A.; Longini, Ira M. jun.
70
1985
Heroin epidemics, treatment and ODE modelling. Zbl 1116.92062
White, Emma; Comiskey, Catherine
70
2007
On the stability properties of a stochastic model for phage-bacteria interaction in open marine environment. Zbl 0987.92027
Carletti, M.
69
2002
Some threshold results for models of myelinated nerves. Zbl 0454.92009
Bell, Jonathan
69
1981
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.
69
2007
Influence of stochastic perturbation on prey-predator systems. Zbl 1124.92055
Rudnicki, Ryszard; Pichór, Katarzyna
69
2007
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
68
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.
67
2006
Analysis of a mathematical model of the effect of inhibitors on the growth of tumors. Zbl 0998.92022
Cui, Shangbin; Friedman, Avner
66
2000
Destabilizing effect of cannibalism on a structured predator-prey system. Zbl 0943.92030
Magnússon, Kjartan G.
65
1999
Modeling and analysis of a marine bacteriophage infection. Zbl 0946.92012
Beretta, Edoardo; Kuang, Yang
64
1998
Two-event models for carcinogenesis: Incidence curves for childhood and adult tumors. Zbl 0422.92006
Moolgavkar, Suresh H.; Venzon, David J.
64
1979
Stability of the endemic equilibrium in epidemic models with subpopulations. Zbl 0582.92024
Hethcote, Herbert W.; Thieme, Horst R.
64
1985
A simplified mathematical model of tumor growth. Zbl 0601.92007
Adam, John A.
64
1986
Movement toward better environments and the evolution of rapid diffusion. Zbl 1105.92036
Cantrell, Robert Stephen; Cosner, Chris; Lou, Yuan
63
2006
Models for integrated pest control and their biological implications. Zbl 1156.92046
Tang, Sanyi; Cheke, Robert A.
63
2008
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.
63
1983
Avian-human influenza epidemic model. Zbl 1114.92058
Iwami, Shingo; Takeuchi, Yasuhiro; Liu, Xianning
62
2007
Optimal harvesting from a population in a stochastic crowded environment. Zbl 0885.60052
Lungu, E. M.; Øksendal, B.
61
1997
Age-structured and two-delay models for erythropoiesis. Zbl 0832.92005
Bélair, Jacques; Mackey, Michael C.; Mahaffy, Joseph M.
61
1995
The type-reproduction number \(T\) in models for infectious disease control. Zbl 1124.92043
Heesterbeek, J. A. P.; Roberts, M. G.
61
2007
Global dynamics of an SEIR epidemic model with saturating contact rate. Zbl 1021.92040
Zhang, Juan; Ma, Zhien
60
2003
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.
59
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.
59
2007
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
Immunity after COVID-19: protection or sensitization? Zbl 1460.92118
Danchin, Antoine; Turinici, Gabriel
2
2021
Optimal control of the SIR model in the presence of transmission and treatment uncertainty. Zbl 1474.92102
Gatto, Nicole M.; Schellhorn, Henry
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
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
1
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
Defining phylogenetic networks using ancestral profiles. Zbl 1475.92114
Bai, Allan; Erdős, Péter L.; Semple, Charles; Steel, Mike
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
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
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.
40
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
11
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.
10
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
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
8
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
8
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.
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
5
2020
European and US lockdowns and second waves during the COVID-19 pandemic. Zbl 1460.92198
Glass, David H.
5
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
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
3
2020
Sensitivity analysis methods in the biomedical sciences. Zbl 1437.92063
Qian, George; Mahdi, Adam
3
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
3
2020
Crossover in spreading behavior due to memory in population dynamics. Zbl 1448.92243
Oliveira, Karen A.; Berbert, Juliana M.
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
Simulating COVID-19 in a university environment. Zbl 1453.92301
Gressman, Philip T.; Peck, Jennifer R.
2
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
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
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
Addition of flow reactions preserving multistationarity and bistability. Zbl 1437.92047
Cappelletti, Daniele; Feliu, Elisenda; Wiuf, Carsten
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
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
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
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
Risk structured model of cholera infections in Cameroon. Zbl 1437.92113
Che, Eric Ngang; Kang, Yeona; Yakubu, Abdul-Aziz
1
2020
Multiscale modelling of cancer response to oncolytic viral therapy. Zbl 1425.92103
Alzahrani, Talal; Eftimie, Raluca; Trucu, Dumitru
17
2019
Dynamical analysis of a stage-structured predator-prey model with cannibalism. Zbl 1409.92217
Zhang, Fengqin; Chen, Yuming; Li, Jianquan
12
2019
Implementation of control strategies for sterile insect techniques. Zbl 1425.92126
Bliman, Pierre-Alexandre; Cardona-Salgado, Daiver; Dumont, Yves; Vasilieva, Olga
11
2019
Optimal control of epidemic size and duration with limited resources. Zbl 1425.92178
Bolzoni, Luca; Bonacini, Elena; Della Marca, Rossella; Groppi, Maria
10
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.
10
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
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
Modeling the impact of sterile males on an Aedes aegypti population with optimal control. Zbl 1425.92131
Multerer, Lea; Smith, Thomas; Chitnis, Nakul
7
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
7
2019
A class of phylogenetic networks reconstructable from ancestral profiles. Zbl 1421.05085
Erdős, Péter L.; Semple, Charles; Steel, Mike
6
2019
Optimal control of a multi-patch dengue model under the influence of Wolbachia bacterium. Zbl 1425.92176
Bock, Wolfgang; Jayathunga, Yashika
5
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.
5
2019
Dynamics of a plant-nectar-pollinator model and its approximate equations. Zbl 1409.92273
Wang, Yuanshi
4
2019
Mathematical modelling of cancer stem cell-targeted immunotherapy. Zbl 1437.92066
Sigal, Daniel; Przedborski, Michelle; Sivaloganathan, Darshan; Kohandel, Mohammad
4
2019
The effect of random dispersal on competitive exclusion - a review. Zbl 1437.92097
Girardin, Léo
4
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
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
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
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
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
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
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
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
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
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
On the Z-type control of backward bifurcations in epidemic models. Zbl 1425.92187
Lacitignola, Deborah; Diele, Fasma
2
2019
Biomathematical model for simulating abnormal orifice patterns in colonic crypts. Zbl 1425.92025
Figueiredo, Isabel N.; Leal, Carlos; Romanazzi, Giuseppe; Engquist, Björn
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
Optimizing multi-modal cancer treatment under 3D spatio-temporal tumor growth. Zbl 1409.92116
Kıbış, Eyyüb Y.; Büyüktahtakın, İ. Esra
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
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
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
Comparison of stochastic and deterministic frameworks in dengue modelling. Zbl 1425.92180
Champagne, Clara; Cazelles, Bernard
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
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
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186 Chen, Lansun
136 Teng, Zhi-dong
108 Jiang, Daqing
105 Jin, Zhen
92 Ruan, Shigui
90 Tang, Sanyi
87 Song, Xinyu
86 Xu, Rui
77 Takeuchi, Yasuhiro
75 Chattopadhyay, Joydev
73 Xiao, Yanni
72 Li, Xuezhi
72 Wu, Jianhong
69 Gumel, Abba B.
67 Wang, Ke
65 Zhao, Xiao-Qiang
63 Elaiw, Ahmed M.
63 Freedman, Herbert Irving
61 Martcheva, Maia
61 Meng, Xinzhu
61 van den Driessche, Pauline
60 Wang, Wendi
57 Kar, Tapan Kumar
56 Huo, Hai-Feng
56 Yuan, Sanling
55 Feng, Zhilan
54 Cui, Jingan
52 Allen, Linda J. S.
51 Liu, Meng
51 Qiu, Zhipeng
50 Liu, Shengqiang
50 Webb, Glenn Francis
48 Banerjee, Malay
48 Chaplain, Mark A. J.
47 Castillo-Chavez, Carlos
47 Samanta, Guru Prasad
47 Wang, Jinliang
46 Hayat, Tasawar
46 Kuang, Yang
46 Ma, Zhien
45 Zhang, Tonghua
45 Zou, Xingfu
44 Chen, Yuming
44 d’Onofrio, Alberto
44 Kang, Yun
44 Venturino, Ezio
43 Sun, Guiquan
42 Ball, Frank G.
42 Ma, Wanbiao
42 Wei, Junjie
41 Banks, Harvey Thomas
41 Chen, Fengde
41 Lewis, Mark Alun
41 Li, Wan-Tong
41 Yakubu, Abdul-Aziz
41 Zhu, Huaiping
40 Liu, Xianning
40 Rong, Libin
40 Wang, Weiming
39 Cai, Liming
39 Kumar Upadhyay, Ranjit
39 Liu, Qun
39 Mode, Charles J.
39 Wang, Xia
39 Yang, Junyuan
38 Cheke, Robert A.
38 Khan, Muhammad Altaf
38 Kuniya, Toshikazu
37 Byrne, Helen Mary
37 Gao, Shujing
37 Jiao, Jianjun
37 Lou, Yuan
37 Wang, Jin
36 Lenhart, Suzanne M.
36 Liu, Zhijun
36 Mushayabasa, Steady
36 Perelson, Alan S.
36 Steel, Michael Anthony
36 Wang, Feng-Bin
36 Xu, Shihe
36 Zhang, Tailei
36 Zhou, Yicang
35 Al-saedi, Ahmed Eid Salem
35 Pei, Yongzhen
34 Misra, Arvind Kumar
34 Samanta, Sudip K.
34 Voit, Eberhard Otto
34 Zhang, Fengqin
34 Zhang, Long
33 Cai, Yongli
33 Greenhalgh, David
33 Maini, Philip Kumar
33 Yuan, Rong
32 Cressman, Ross
32 Li, Jianquan
32 Nyabadza, Farai
32 Smith, Hal Leslie
31 Băleanu, Dumitru I.
31 Buonomo, Bruno
31 Friedman, Avner
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30 The ANZIAM Journal
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