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Webb, Glenn Francis

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Author ID: webb.glenn-f Recent zbMATH articles by "Webb, Glenn Francis"
Published as: Webb, G.; Webb, G. F.; Webb, Glenn; Webb, Glenn F.
External Links: MGP · Wikidata
Documents Indexed: 169 Publications since 1969, including 3 Books
Biographic References: 3 Publications
all top 5

Co-Authors

61 single-authored
18 Dyson, Janet
18 Villella-Bressan, Rosanna
17 Magal, Pierre
10 Fitzgibbon, William Edward
10 Wu, YiXiang
9 Travis, Curtis C.
7 D’Agata, Erika M. C.
7 Parrott, Mary E.
5 Kirschner, Denise E.
4 Gyllenberg, Mats
4 Morgan, Jeffery J.
4 Ruan, Shigui
4 Sánchez, Eva
3 Blaser, Martin J.
3 Browne, Cameron J.
3 Hardin, Douglas P.
3 Horn, Mary Ann
3 Pujo-Menjouet, Laurent
3 Seydi, Ousmane
3 Takáč, Peter
2 Arino, Ovide
2 Badii, Maurizio
2 Farkas, József Zoltán
2 Gourley, Stephen A.
2 Greer, Meredith L.
2 Hinow, Peter
2 Le Foll, Frank
2 Pressley, Joanna
2 Prüß, Jan Wilhelm
2 Reddien, George W. jun.
2 Schappacher, Wilhelm
2 Wu, Jianhong
1 Anderson, Alexander R. A.
1 Ardal, Sten
1 Arteaga, Carlos L.
1 Ayati, Bruce P.
1 Bajaria, Seema H.
1 Bryce, Nicole
1 Chyan, Chuan Jen
1 Culshaw, Rebecca V.
1 Deng, Keng
1 Desch, Wolfgang
1 Ding, Wandi
1 Ducrot, Arnaud
1 Engler, Hans
1 Estrada, Lourdes
1 Fu, Yiping
1 Gabriel, Pierre
1 Garbett, Shawn P.
1 Gerardo-Giorda, Luca
1 Grabosch, Annette
1 Grima, Daniel T.
1 Gulbudak, Hayriye
1 He, Mengxing
1 Helal, Mohamed Atef
1 Hingant, Erwan
1 Hsieh, Ying-Hen
1 Ke, Weiming
1 Kunisch, Karl
1 Langlais, Michel R.
1 Liu, Zhihua
1 McCluskey, Connell C.
1 Moellering, Robert C. jun.
1 Morgan, Jeff J.
1 Murakawa, Hideki
1 Noussair, Ahmed
1 Olivier, Damien
1 Pasquier, Jennifer
1 Quaranta, Vito
1 Riedl, H. M.
1 Schumaker, Larry L.
1 Simonett, Gieri
1 Sinestrari, Eugenio
1 Smith, Gary T.
1 Song, Kaitai
1 Tan, Waiyuan
1 Tyson, Darren R.
1 van den Driessche, Pauline
1 Walker, Christoph
1 Wang, Lin
1 Wang, Shizhen Emily
1 Weaver, Alissa M.
1 Zacher, Rico
1 Zhou, Li
1 Zhu, Huaiping
all top 5

Serials

9 Journal of Mathematical Analysis and Applications
9 Journal of Mathematical Biology
8 Mathematical Biosciences
7 Discrete and Continuous Dynamical Systems. Series B
7 Journal of Theoretical Biology
6 Transactions of the American Mathematical Society
6 SIAM Journal on Mathematical Analysis
5 SIAM Journal on Applied Mathematics
5 Mathematical Modelling of Natural Phenomena
4 Computers & Mathematics with Applications
4 Bulletin of Mathematical Biology
4 Journal of Biological Dynamics
4 Nonlinear Analysis. Theory, Methods & Applications
3 Proceedings of the American Mathematical Society
3 Mathematical Biosciences and Engineering
3 Computational & Mathematical Methods in Medicine
2 Houston Journal of Mathematics
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Journal of Differential Equations
2 Pacific Journal of Mathematics
2 Differential and Integral Equations
2 Discrete and Continuous Dynamical Systems
2 Journal of Biological Systems
2 Nonlinear Analysis. Real World Applications
2 Journal of Evolution Equations
1 Acta Mathematica Academiae Scientiarum Hungaricae
1 Applicable Analysis
1 Archive for Rational Mechanics and Analysis
1 International Journal of Theoretical Physics
1 Israel Journal of Mathematics
1 Nonlinearity
1 Rocky Mountain Journal of Mathematics
1 Canadian Journal of Mathematics
1 Colloquium Mathematicum
1 Czechoslovak Mathematical Journal
1 Funkcialaj Ekvacioj. Serio Internacia
1 Hiroshima Mathematical Journal
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Functional Analysis
1 Mathematische Nachrichten
1 Mathematical Systems Theory
1 Mathematische Zeitschrift
1 Rendiconti del Seminario Matematico della Università di Padova
1 Journal of Integral Equations
1 Ergodic Theory and Dynamical Systems
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Aequationes Mathematicae
1 Proceedings of the National Academy of Sciences of the United States of America
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Computers and Mathematics with Applications. Part A
1 Advances in Mathematical Sciences and Applications
1 Archives of Control Sciences
1 The Canadian Applied Mathematics Quarterly
1 Methods and Applications of Analysis
1 Mathematical Population Studies
1 Dynamics of Continuous, Discrete and Impulsive Systems
1 Journal of Theoretical Medicine
1 Communications on Pure and Applied Analysis
1 Multiscale Modeling & Simulation
1 Bollettino della Unione Matematica Italiana. Series IV
1 Journal of Mathematics and Mechanics
1 Pure and Applied Mathematics, Marcel Dekker
1 Discrete and Continuous Dynamical Systems. Series S

Publications by Year

Citations contained in zbMATH Open

152 Publications have been cited 3,350 times in 2,203 Documents Cited by Year
Theory of nonlinear age-dependent population dynamics. Zbl 0555.92014
Webb, G. F.
569
1985
Existence and stability for partial functional differential equations. Zbl 0299.35085
Travis, C. C.; Webb, G. F.
228
1974
Cosine families and abstract nonlinear second order differential equations. Zbl 0388.34039
Travis, C. C.; Webb, G. F.
163
1978
Lyapunov functional and global asymptotic stability for an infection-age model. Zbl 1208.34126
Magal, P.; McCluskey, C. C.; Webb, G. F.
126
2010
Hypercyclic and chaotic semigroups of linear operators. Zbl 0910.47033
Desch, Wolfgang; Schappacher, Wilhelm; Webb, Glenn F.
115
1997
A mathematical model of cell-to-cell spread of HIV-1 that includes a time delay. Zbl 1023.92011
Culshaw, Rebecca V.; Webb, Glenn
111
2003
Compactness, regularity, and uniform continuity properties of strongly continuous cosine families. Zbl 0386.47024
Travis, C. C.; Webb, G. F.
81
1977
Existence and asymptotic behavior for a strongly damped nonlinear wave equation. Zbl 0414.35046
Webb, G. F.
79
1980
Existence, stability, and compactness in the \(\alpha\)-norm for partial functional differential equations. Zbl 0414.34080
Travis, C. C.; Webb, G. F.
73
1978
Continuous nonlinear perturbations of linear accretive operators in Banach spaces. Zbl 0245.47052
Webb, G. F.
67
1972
Functional differential equations and nonlinear semigroups in \(L^p\) spaces. Zbl 0285.34046
Webb, G. F.
58
1976
Global existence of classical solutions for a haptotaxis model. Zbl 1120.92024
Walker, Christoph; Webb, Glenn F.
57
2007
Autonomous nonlinear functional differential equations and nonlinear semigroups. Zbl 0277.34070
Webb, G. F.
52
1974
A nonlinear structured population model of tumor growth with quiescence. Zbl 0744.92026
Gyllenberg, M.; Webb, G. F.
51
1990
An operator-theoretic formulation of asynchronous exponential growth. Zbl 0654.47021
Webb, G. F.
44
1987
Partial differential equations with deviating arguments in the time variable. Zbl 0349.35071
Travis, C. C.; Webb, G. F.
44
1976
A model for treatment strategy in the chemotherapy of AIDS. Zbl 0853.92009
Kirschner, Denise; Webb, G. F.
43
1996
A reaction-diffusion model for a deterministic diffusive epidemic. Zbl 0484.92019
Webb, G. F.
41
1981
Second order differential equations in Banach space. Zbl 0455.34044
Travis, C. C.; Webb, G. F.
35
1978
Age-size structure in populations with quiescence. Zbl 0632.92014
Gyllenberg, M.; Webb, G. F.
33
1987
Asymptotic stability for abstract nonlinear functional differential equations. Zbl 0324.34079
Webb, G. F.
32
1976
A model of proliferating cell populations with inherited cycle length. Zbl 0596.92017
Webb, G. F.
30
1986
An age-dependent epidemic model with spatial diffusion. Zbl 0484.92018
Webb, G. F.
29
1980
Necessary and sufficient conditions for asynchronous exponential growth in age structured cell populations with quiescence. Zbl 0886.92020
Arino, O.; Sánchez, E.; Webb, G. F.
26
1997
Compactness of bounded trajectories of dynamical systems in infinite dimensional spaces. Zbl 0414.34042
Webb, G. F.
26
1979
An abstract second order semilinear Volterra integrodifferential equation. Zbl 0406.45014
Travis, C. C.; Webb, G. F.
25
1979
Asynchronous exponential growth in an age structured population of proliferating and quiescent cells. Zbl 0998.92012
Dyson, Janet; Villella-Bressan, Rosanna; Webb, G. F.
23
2002
A nonlinear age and maturity structured model of population dynamics. I: Basic theory. Zbl 0978.92019
Dyson, Janet; Villella-Bressan, Rosanna; Webb, Glenn
23
2000
An abstract semilinear Volterra integrodifferential equation. Zbl 0388.45012
Webb, G. F.
23
1978
Analysis of a model for the dynamics of prions. Zbl 1088.92043
Prüss, Jan; Pujo-Menjouet, Laurent; Webb, G. F.; Zacher, Rico
22
2006
Diffusion epidemic models with incubation and crisscross dynamics. Zbl 0836.92018
Fitzgibbon, W. E.; Parrott, M. E.; Webb, G. F.
22
1995
Dispersion population models discrete in time and continuous in space. Zbl 0732.92022
Hardin, D. P.; Takáč, P.; Webb, G. F.
21
1990
A bifurcation problem for a nonlinear hyperbolic partial differential equation. Zbl 0424.35051
Webb, G. F.
21
1979
Asymptotic properties of a continuous-space discrete-time population model in a random environment. Zbl 0717.92026
Hardin, D. P.; Takáč, P.; Webb, G. F.
20
1988
Asymptotic behavior in nosocomial epidemic models with antibiotic resistance. Zbl 1212.35229
D’Agata, Erika M. C.; Magal, Pierre; Ruan, Shigui; Webb, Glenn
19
2006
Analysis of a model for the dynamics of prions. II. Zbl 1103.92024
Engler, Hans; Prüss, Jan; Webb, Glenn F.
19
2006
A nonlinear age and maturity structured model of population dynamics. II: Chaos. Zbl 0978.92020
Dyson, Janet; Villella-Bressan, Rosanna; Webb, Glenn
19
2000
Dynamics of structured populations with inherited properties. Zbl 0641.92010
Webb, G. F.
19
1987
Nonlinear age-dependent population dynamics with random diffusion. Zbl 0581.92021
Kunisch, K.; Schappacher, W.; Webb, G. F.
19
1985
Predicting differential responses to structured treatment interruptions during HAART. Zbl 1334.92224
Bajaria, Seema H.; Webb, Glenn; Kirschner, Denise E.
18
2004
Critical role of nosocomial transmission in the Toronto SARS outbreak. Zbl 1060.92054
Webb, Glenn F.; Blaser, Martin J.; Zhu, Huaiping; Ardal, Sten; Wu, Jianhong
18
2004
Mutation, selection, and recombination in a model of phenotype evolution. Zbl 1007.92027
Magal, P.; Webb, G. F.
18
2000
A singular transport equation modelling a proliferating maturity structured cell population. Zbl 0855.92019
Dyson, Janet; Villella-Bressan, Rosanna; Webb, Glenn F.
18
1996
A comparison of dispersal strategies for survival of spatially heterogeneous populations. Zbl 0668.92014
Hardin, Douglas P.; Takáč, Peter; Webb, G. F.
18
1988
Computational methods and results for structured multiscale models of tumor invasion. Zbl 1182.92039
Ayati, Bruce P.; Webb, Glenn F.; Anderson, Alexander R. A.
17
2006
Asynchronous exponential growth of semigroups of nonlinear operators. Zbl 0818.47064
Gyllenberg, M.; Webb, G. F.
17
1992
A semigroup proof of the Sharpe-Lotka theorem. Zbl 0545.92014
Webb, G. F.
17
1984
Nonlinear evolution equations and product integration in Banach spaces. Zbl 0199.20703
Webb, G. F.
17
1970
Understanding drug resistance for monotherapy treatment of HIV infection. Zbl 0922.92011
Kirschner, Denise E.; Webb, G. F.
16
1997
On a vector-host epidemic model with spatial structure. Zbl 1408.35199
Magal, Pierre; Webb, Glenn; Wu, Yixiang
15
2018
The contribution of age structure to cell population responses to targeted therapeutics. Zbl 1337.92046
Gabriel, Pierre; Garbett, Shawn P.; Quaranta, Vito; Tyson, Darren R.; Webb, Glenn F.
15
2012
The steady state of a tumor cord cell population. Zbl 1036.92016
Webb, G. F.
15
2002
A mathematical model of combined drug therapy of HIV infection. Zbl 0925.92073
Kirschner, Denise E.; Webb, G. F.
14
1997
Nonlinear evolution equations and product stable operators on Banach spaces. Zbl 0213.41104
Webb, G. F.
14
1971
Existence and asymptotic properties of solutions of a nonlocal evolution equation modeling cell-cell adhesion. Zbl 1222.35030
Dyson, Janet; Gourley, Stephen A.; Villella-Bressan, Rosanna; Webb, Glenn F.
13
2010
Product integral representation of time dependent nonlinear evolution equations in Banach spaces. Zbl 0202.14901
Webb, G. F.
13
1970
Random transitions, size control, and inheritance in cell population dynamics. Zbl 0633.92009
Webb, G. F.
12
1987
Abstract Volterra integrodifferential equations and a class of reaction- diffusion equations. Zbl 0428.45008
Webb, G. F.
12
1979
On the basic reproduction number of reaction-diffusion epidemic models. Zbl 1407.35113
Magal, Pierre; Webb, Glenn F.; Wu, Yixiang
11
2019
An in vitro cell population dynamics model incorporating cell size, quiescence, and contact inhibition. Zbl 1221.35204
Ducrot, Arnaud; Le Foll, Frank; Magal, Pierre; Murakawa, Hideki; Pasquier, Jennifer; Webb, Glenn F.
11
2011
Competition of hospital-acquired and community-acquired methicillin-resistant Staphylococcus aureus strains in hospitals. Zbl 1315.92071
Webb, Glenn F.; Horn, Mary Ann; D’Agata, Erika M. C.; Moellering, Robert C. jun.; Ruan, Shigui
11
2010
Dynamics of populations structured by internal variables. Zbl 0554.92009
Webb, G. F.
11
1985
Nonlinear semigroups and age-dependent population models. Zbl 0516.47037
Webb, G. F.
11
1981
Volterra integral equations and nonlinear semigroups. Zbl 0364.45007
Webb, G. F.
11
1977
Final size of an epidemic for a two-group SIR model. Zbl 1350.92053
Magal, Pierre; Seydi, Ousmane; Webb, Glenn
10
2016
An age and spatially structured model of tumor invasion with haptotaxis. Zbl 1128.92016
Dyson, Janet; Sánchez, Eva; Villella-Bressan, Rosanna; Webb, Glenn
10
2007
Structured population dynamics. Zbl 1051.92036
Webb, Glenn F.
10
2004
Immunotherapy of HIV-1 infection. Zbl 0982.92015
Kirschner, Denise E.; Webb, G. F.
10
1998
Hypercyclicity of solutions of a transport equation with delays. Zbl 0899.34046
Dyson, Janet; Villella-Bressan, Rosanna; Webb, Glenn
10
1997
Logistic models of structured population growth. Zbl 0598.92012
Webb, G. F.
10
1986
Nonlinear nonautonomous functional differential equations in \(L^ p\) spaces. Zbl 0451.34062
Webb, G. F.; Badii, Maurizio
10
1981
Alzheimer’s disease: analysis of a mathematical model incorporating the role of prions. Zbl 1307.35305
Helal, Mohamed; Hingant, Erwan; Pujo-Menjouet, Laurent; Webb, Glenn F.
9
2014
Analysis of a model for transfer phenomena in biological populations. Zbl 1201.34092
Hinow, Peter; Le Foll, Frank; Magal, Pierre; Webb, Glenn F.
9
2009
Effects of general incidence and polymer joining on nucleated polymerization in a model of prion proliferation. Zbl 1131.92030
Greer, Meredith L.; van den Driessche, P.; Wang, Lin; Webb, G. F.
9
2007
Diffusive epidemic models with spatial and age dependent heterogeneity. Zbl 0868.92023
Fitzgibbon, W. E.; Parrott, M. E.; Webb, G. F.
9
1995
A diffusive system with age dependency modeling FIV. Zbl 0836.92019
Fitzgibbon, W. E.; Langlais, M.; Parrott, M. E.; Webb, G. F.
9
1995
Nonlinear age-dependent population dynamics in \(L^ 1\). Zbl 0533.92013
Webb, G. F.
9
1983
A representation formula for strongly continuous cosine families. Zbl 0467.47037
Webb, G. F.
9
1980
Regularity of solutions to an abstract inhomogeneous linear differential equation. Zbl 0359.47023
Webb, G. F.
9
1977
Nonlinear perturbations of linear accretive operators in Banach spaces. Zbl 0249.47048
Webb, G. F.
9
1972
Modeling contact tracing in outbreaks with application to Ebola. Zbl 1343.92462
Browne, Cameron; Gulbudak, Hayriye; Webb, Glenn
8
2015
Pre-symptomatic influenza transmission, surveillance, and school closings: implications for novel influenza A (H1N1). Zbl 1187.92065
Webb, G. F.; Hsieh, Y-H.; Wu, J.; Blaser, M. J.
8
2010
A mathematical model quantifies proliferation and motility effects of TGF-\(\beta\) on cancer cells. Zbl 1317.92027
Wang, Shizhen Emily; Hinow, Peter; Bryce, Nicole; Weaver, Alissa M.; Estrada, Lourdes; Arteaga, Carlos L.; Webb, Glenn F.
8
2009
A spatial model of tumor growth with cell age, cell size, and mutation of cell phenotypes. Zbl 1337.92044
Dyson, J.; Villella-Bressan, R.; Webb, G.
8
2007
The steady state of a maturity structured tumor cord cell population. Zbl 1053.34042
Dyson, Janet; Villella-Bressan, Rosanna; Webb, G. F.
8
2004
Polynomial growth dynamics of telomere loss in a heterogeneous cell population. Zbl 0908.92025
Arino, O.; Sánchez, E.; Webb, G. F.
8
1997
Periodic and chaotic behavior in structured models of cell population dynamics. Zbl 0822.92016
Webb, G. F.
8
1995
Quiescence in structured population dynamics. Applications to tumor growth. Zbl 0751.92008
Gyllenberg, Mats; Webb, Glenn F.
8
1991
Asynchronous exponential growth in transition probability models of the cell cycle. Zbl 0625.92013
Webb, G. F.; Grabosch, A.
8
1987
Diffusive age-dependent population models and an application to genetics. Zbl 0525.92009
Webb, G. F.
8
1982
A recovery-relapse epidemic model with spatial diffusion. Zbl 0518.92023
Webb, G. F.
8
1982
Exponential representation of solutions to an abstract semilinear differential equation. Zbl 0377.34034
Webb, G. F.
8
1977
A nosocomial epidemic model with infection of patients due to contaminated rooms. Zbl 1369.92112
Browne, Cameron; Webb, Glenn F.
7
2015
Global existence and boundedness of solutions to a model of chemotaxis. Zbl 1337.92027
Dyson, J.; Villella-Bressan, R.; Webb, G. F.
7
2008
An age and spatially structured model of tumor invasion with haptotaxis. II. Zbl 1145.92016
Dyson, Janet; Villella-Bressan, Rosanna; Webb, Glenn
7
2008
Asymptotic behaviour of solutions to abstract logistic equations. Zbl 1114.92022
Dyson, Janet; Villella-Bressan, Rosanna; Webb, Glenn F.
7
2007
An age and maturity structured model of cell population dynamics. Zbl 0959.92011
Dyson, Janet; Villella-Bressan, Rosanna; Webb, Glenn
7
1998
A nonlinear cell population model of periodic chemotherapy treatment. Zbl 0829.92012
Webb, G. F.
7
1992
A cell population model of periodic chemotherapy treatment. Zbl 0786.92015
Webb, G. F.
7
1992
Nonlinear hyperbolic systems with nonlocal boundary conditions. Zbl 0653.92014
Sinestrari, Eugenio; Webb, G. F.
7
1987
Spatial spread of epidemic diseases in geographical settings: seasonal influenza epidemics in Puerto Rico. Zbl 1433.92060
Magal, Pierre; Webb, Glenn F.; Wu, Yixiang
3
2020
On the basic reproduction number of reaction-diffusion epidemic models. Zbl 1407.35113
Magal, Pierre; Webb, Glenn F.; Wu, Yixiang
11
2019
An environmental model of honey bee colony collapse due to pesticide contamination. Zbl 1442.92193
Magal, P.; Webb, G. F.; Wu, Yixiang
2
2019
On a vector-host epidemic model with spatial structure. Zbl 1408.35199
Magal, Pierre; Webb, Glenn; Wu, Yixiang
15
2018
The parameter identification problem for SIR epidemic models: identifying unreported cases. Zbl 1404.92194
Magal, Pierre; Webb, Glenn
6
2018
A vector-host epidemic model with spatial structure and age of infection. Zbl 1390.35372
Fitzgibbon, W. E.; Morgan, J. J.; Webb, Glenn F.; Wu, Yixiang
6
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
Optimal control applied to community-acquired methicillin-resistant Staphylococcus aureus in hospitals. Zbl 1447.92217
Ding, Wandi; Webb, Glenn F.
1
2017
Final size of an epidemic for a two-group SIR model. Zbl 1350.92053
Magal, Pierre; Seydi, Ousmane; Webb, Glenn
10
2016
A model of the Ebola epidemics in West Africa incorporating age of infection. Zbl 1448.92354
Webb, G. F.; Browne, C. J.
1
2016
Modeling contact tracing in outbreaks with application to Ebola. Zbl 1343.92462
Browne, Cameron; Gulbudak, Hayriye; Webb, Glenn
8
2015
A nosocomial epidemic model with infection of patients due to contaminated rooms. Zbl 1369.92112
Browne, Cameron; Webb, Glenn F.
7
2015
Alzheimer’s disease: analysis of a mathematical model incorporating the role of prions. Zbl 1307.35305
Helal, Mohamed; Hingant, Erwan; Pujo-Menjouet, Laurent; Webb, Glenn F.
9
2014
A non-local evolution equation model of cell-cell adhesion in higher dimensional space. Zbl 1448.92068
Dyson, Janet; Gourley, Stephen A.; Webb, Glenn F.
1
2013
The contribution of age structure to cell population responses to targeted therapeutics. Zbl 1337.92046
Gabriel, Pierre; Garbett, Shawn P.; Quaranta, Vito; Tyson, Darren R.; Webb, Glenn F.
15
2012
Mathematical model of the impact of a nonantibiotic treatment for Clostridium difficile on the endemic prevalence of vancomycin-resistant enterococci in a hospital setting. Zbl 1234.92029
Grima, Daniel T.; Webb, Glenn F.; D’Agata, Erika M. C.
3
2012
An in vitro cell population dynamics model incorporating cell size, quiescence, and contact inhibition. Zbl 1221.35204
Ducrot, Arnaud; Le Foll, Frank; Magal, Pierre; Murakawa, Hideki; Pasquier, Jennifer; Webb, Glenn F.
11
2011
Event based interpretation of Schrödinger’s equation for the two-slit experiment. Zbl 1245.81002
Webb, G. F.
3
2011
Lyapunov functional and global asymptotic stability for an infection-age model. Zbl 1208.34126
Magal, P.; McCluskey, C. C.; Webb, G. F.
126
2010
Existence and asymptotic properties of solutions of a nonlocal evolution equation modeling cell-cell adhesion. Zbl 1222.35030
Dyson, Janet; Gourley, Stephen A.; Villella-Bressan, Rosanna; Webb, Glenn F.
13
2010
Competition of hospital-acquired and community-acquired methicillin-resistant Staphylococcus aureus strains in hospitals. Zbl 1315.92071
Webb, Glenn F.; Horn, Mary Ann; D’Agata, Erika M. C.; Moellering, Robert C. jun.; Ruan, Shigui
11
2010
Pre-symptomatic influenza transmission, surveillance, and school closings: implications for novel influenza A (H1N1). Zbl 1187.92065
Webb, G. F.; Hsieh, Y-H.; Wu, J.; Blaser, M. J.
8
2010
Rapid emergence of co-colonization with community-acquired and hospital-acquired methicillin-resistant staphylococcus aureus strains in the hospital setting. Zbl 1193.92051
D’Agata, E. M. C.; Webb, G. F.; Pressley, J.
5
2010
The effect of co-colonization with community-acquired and hospital-acquired methicillin-resistant Staphylococcus aureus strains on competitive exclusion. Zbl 1406.92611
Pressley, Joanna; D’Agata, Erika M. C.; Webb, Glenn F.
1
2010
Analysis of a model for transfer phenomena in biological populations. Zbl 1201.34092
Hinow, Peter; Le Foll, Frank; Magal, Pierre; Webb, Glenn F.
9
2009
A mathematical model quantifies proliferation and motility effects of TGF-\(\beta\) on cancer cells. Zbl 1317.92027
Wang, Shizhen Emily; Hinow, Peter; Bryce, Nicole; Weaver, Alissa M.; Estrada, Lourdes; Arteaga, Carlos L.; Webb, Glenn F.
8
2009
Global existence and boundedness of solutions to a model of chemotaxis. Zbl 1337.92027
Dyson, J.; Villella-Bressan, R.; Webb, G. F.
7
2008
An age and spatially structured model of tumor invasion with haptotaxis. II. Zbl 1145.92016
Dyson, Janet; Villella-Bressan, Rosanna; Webb, Glenn
7
2008
Global existence of classical solutions for a haptotaxis model. Zbl 1120.92024
Walker, Christoph; Webb, Glenn F.
57
2007
An age and spatially structured model of tumor invasion with haptotaxis. Zbl 1128.92016
Dyson, Janet; Sánchez, Eva; Villella-Bressan, Rosanna; Webb, Glenn
10
2007
Effects of general incidence and polymer joining on nucleated polymerization in a model of prion proliferation. Zbl 1131.92030
Greer, Meredith L.; van den Driessche, P.; Wang, Lin; Webb, G. F.
9
2007
A spatial model of tumor growth with cell age, cell size, and mutation of cell phenotypes. Zbl 1337.92044
Dyson, J.; Villella-Bressan, R.; Webb, G.
8
2007
Asymptotic behaviour of solutions to abstract logistic equations. Zbl 1114.92022
Dyson, Janet; Villella-Bressan, Rosanna; Webb, Glenn F.
7
2007
Quantifying the impact of bacterial fitness and repeated antimicrobial exposure on the emergence of multidrug-resistant gram-negative bacilli. Zbl 1337.92105
D’Agata, E. M. C.; Horn, M.; Webb, G.
2
2007
Analysis of a model for the dynamics of prions. Zbl 1088.92043
Prüss, Jan; Pujo-Menjouet, Laurent; Webb, G. F.; Zacher, Rico
22
2006
Asymptotic behavior in nosocomial epidemic models with antibiotic resistance. Zbl 1212.35229
D’Agata, Erika M. C.; Magal, Pierre; Ruan, Shigui; Webb, Glenn
19
2006
Analysis of a model for the dynamics of prions. II. Zbl 1103.92024
Engler, Hans; Prüss, Jan; Webb, Glenn F.
19
2006
Computational methods and results for structured multiscale models of tumor invasion. Zbl 1182.92039
Ayati, Bruce P.; Webb, Glenn F.; Anderson, Alexander R. A.
17
2006
A mathematical analysis of the dynamics of prion proliferation. Zbl 1447.92089
Greer, Meredith L.; Pujo-Menjouet, Laurent; Webb, Glenn F.
2
2006
Predicting differential responses to structured treatment interruptions during HAART. Zbl 1334.92224
Bajaria, Seema H.; Webb, Glenn; Kirschner, Denise E.
18
2004
Critical role of nosocomial transmission in the Toronto SARS outbreak. Zbl 1060.92054
Webb, Glenn F.; Blaser, Martin J.; Zhu, Huaiping; Ardal, Sten; Wu, Jianhong
18
2004
Structured population dynamics. Zbl 1051.92036
Webb, Glenn F.
10
2004
The steady state of a maturity structured tumor cord cell population. Zbl 1053.34042
Dyson, Janet; Villella-Bressan, Rosanna; Webb, G. F.
8
2004
The evolution of a tumor cord cell population. Zbl 1064.35109
Dyson, Janet; Villella-Bressan, Rosanna; Webb, G. F.
6
2004
A mathematical model of cell-to-cell spread of HIV-1 that includes a time delay. Zbl 1023.92011
Culshaw, Rebecca V.; Webb, Glenn
111
2003
A semilinear transport equation with delays. Zbl 1028.35158
Dyson, Janet; Villella-Bressan, Rosanna; Webb, Glenn F.
4
2003
Asynchronous exponential growth in an age structured population of proliferating and quiescent cells. Zbl 0998.92012
Dyson, Janet; Villella-Bressan, Rosanna; Webb, G. F.
23
2002
The steady state of a tumor cord cell population. Zbl 1036.92016
Webb, G. F.
15
2002
Dynamic of bacterial phenotype selection in a colonized host. Zbl 0993.92025
Webb, G. F.; Blaser, M. J.
5
2002
The prime number periodical cicada problem. Zbl 1005.92026
Webb, G. F.
6
2001
A nonlinear age and maturity structured model of population dynamics. I: Basic theory. Zbl 0978.92019
Dyson, Janet; Villella-Bressan, Rosanna; Webb, Glenn
23
2000
A nonlinear age and maturity structured model of population dynamics. II: Chaos. Zbl 0978.92020
Dyson, Janet; Villella-Bressan, Rosanna; Webb, Glenn
19
2000
Mutation, selection, and recombination in a model of phenotype evolution. Zbl 1007.92027
Magal, P.; Webb, G. F.
18
2000
A maturity structured model of a population of proliferating and quiescent cells. Zbl 1152.35333
Dyson, Janet; Villella-Bressan, Rosanna; Webb, Glenn
6
1999
Immunotherapy of HIV-1 infection. Zbl 0982.92015
Kirschner, Denise E.; Webb, G. F.
10
1998
An age and maturity structured model of cell population dynamics. Zbl 0959.92011
Dyson, Janet; Villella-Bressan, Rosanna; Webb, Glenn
7
1998
An age dependent regularization of Martin’s problem. Zbl 0891.35064
Fitzgibbon, W. E.; Morgan, J. J.; Parrott, M. E.; Webb, G. F.
1
1998
Hypercyclic and chaotic semigroups of linear operators. Zbl 0910.47033
Desch, Wolfgang; Schappacher, Wilhelm; Webb, Glenn F.
115
1997
Necessary and sufficient conditions for asynchronous exponential growth in age structured cell populations with quiescence. Zbl 0886.92020
Arino, O.; Sánchez, E.; Webb, G. F.
26
1997
Understanding drug resistance for monotherapy treatment of HIV infection. Zbl 0922.92011
Kirschner, Denise E.; Webb, G. F.
16
1997
A mathematical model of combined drug therapy of HIV infection. Zbl 0925.92073
Kirschner, Denise E.; Webb, G. F.
14
1997
Hypercyclicity of solutions of a transport equation with delays. Zbl 0899.34046
Dyson, Janet; Villella-Bressan, Rosanna; Webb, Glenn
10
1997
Polynomial growth dynamics of telomere loss in a heterogeneous cell population. Zbl 0908.92025
Arino, O.; Sánchez, E.; Webb, G. F.
8
1997
Drug resistance in diffusive epidemic population models. Zbl 0929.92033
Fitzgibbon, W.; Morgan, J.; Parrott, M.; Webb, G.
1
1997
A model for treatment strategy in the chemotherapy of AIDS. Zbl 0853.92009
Kirschner, Denise; Webb, G. F.
43
1996
A singular transport equation modelling a proliferating maturity structured cell population. Zbl 0855.92019
Dyson, Janet; Villella-Bressan, Rosanna; Webb, Glenn F.
18
1996
A diffusive age-structured SEIRS epidemic model. Zbl 0867.92020
Fitzgibbon, W. E.; Parrott, M. E.; Webb, G. F.
5
1996
Resonances in periodic chemotherapy scheduling. Zbl 0842.92013
Webb, G. F.
3
1996
A diffusive epidemic model for a host-vector system. Zbl 0946.35041
Fitzgibbon, W. E.; Parrott, M. E.; Webb, G. F.
2
1996
Diffusion epidemic models with incubation and crisscross dynamics. Zbl 0836.92018
Fitzgibbon, W. E.; Parrott, M. E.; Webb, G. F.
22
1995
Diffusive epidemic models with spatial and age dependent heterogeneity. Zbl 0868.92023
Fitzgibbon, W. E.; Parrott, M. E.; Webb, G. F.
9
1995
A diffusive system with age dependency modeling FIV. Zbl 0836.92019
Fitzgibbon, W. E.; Langlais, M.; Parrott, M. E.; Webb, G. F.
9
1995
Periodic and chaotic behavior in structured models of cell population dynamics. Zbl 0822.92016
Webb, G. F.
8
1995
Asynchronous exponential growth in differential equations with asymptotically homogeneous nonlinearities. Zbl 0829.92017
Webb, Glenn F.
3
1994
Recent advances in wavelet analysis. Zbl 0782.00090
Schumaker, Larry L. (ed.); Webb, Glenn (ed.)
3
1994
Growth bounds of solutions of abstract nonlinear differential equations. Zbl 0802.34077
Webb, G. F.
2
1994
Asynchronous exponential growth in differential equations with homogeneous nonlinearities. Zbl 0827.47035
Webb, G. F.
6
1993
Convexity of the growth bound of \(C_ 0\)-semigroups of operators. Zbl 0813.47048
Webb, G. F.
2
1993
Asynchronous exponential growth of semigroups of nonlinear operators. Zbl 0818.47064
Gyllenberg, M.; Webb, G. F.
17
1992
A nonlinear cell population model of periodic chemotherapy treatment. Zbl 0829.92012
Webb, G. F.
7
1992
A cell population model of periodic chemotherapy treatment. Zbl 0786.92015
Webb, G. F.
7
1992
Quiescence in structured population dynamics. Applications to tumor growth. Zbl 0751.92008
Gyllenberg, Mats; Webb, Glenn F.
8
1991
A model of proliferating cell populations with correlation of mother- daughter mitotic times. Zbl 0739.92008
Chyan, C. J.; Webb, G. F.
5
1991
A nonlinear structured population model of tumor growth with quiescence. Zbl 0744.92026
Gyllenberg, M.; Webb, G. F.
51
1990
Dispersion population models discrete in time and continuous in space. Zbl 0732.92022
Hardin, D. P.; Takáč, P.; Webb, G. F.
21
1990
Resonance phenomena in cell population chemotherapy models. Zbl 0731.92011
Webb, G. F.
6
1990
\(\alpha\)-and \(\beta\)-curves, sister-sister and mother-daughter correlations in cell population dynamics. Zbl 0688.92011
Webb, G. F.
3
1989
Semigroup methods in population dynamics: Proliferating cell populations. Zbl 0699.92018
Webb, G. F.
1
1989
Asymptotic properties of a continuous-space discrete-time population model in a random environment. Zbl 0717.92026
Hardin, D. P.; Takáč, P.; Webb, G. F.
20
1988
A comparison of dispersal strategies for survival of spatially heterogeneous populations. Zbl 0668.92014
Hardin, Douglas P.; Takáč, Peter; Webb, G. F.
18
1988
An operator-theoretic formulation of asynchronous exponential growth. Zbl 0654.47021
Webb, G. F.
44
1987
Age-size structure in populations with quiescence. Zbl 0632.92014
Gyllenberg, M.; Webb, G. F.
33
1987
Dynamics of structured populations with inherited properties. Zbl 0641.92010
Webb, G. F.
19
1987
Random transitions, size control, and inheritance in cell population dynamics. Zbl 0633.92009
Webb, G. F.
12
1987
Asynchronous exponential growth in transition probability models of the cell cycle. Zbl 0625.92013
Webb, G. F.; Grabosch, A.
8
1987
Nonlinear hyperbolic systems with nonlocal boundary conditions. Zbl 0653.92014
Sinestrari, Eugenio; Webb, G. F.
7
1987
A model of proliferating cell populations with inherited cycle length. Zbl 0596.92017
Webb, G. F.
30
1986
Logistic models of structured population growth. Zbl 0598.92012
Webb, G. F.
10
1986
Theory of nonlinear age-dependent population dynamics. Zbl 0555.92014
Webb, G. F.
569
1985
Nonlinear age-dependent population dynamics with random diffusion. Zbl 0581.92021
Kunisch, K.; Schappacher, W.; Webb, G. F.
19
1985
...and 52 more Documents
all top 5

Cited by 2,453 Authors

73 Webb, Glenn Francis
34 Magal, Pierre
33 Ezzinbi, Khalil
31 Fitzgibbon, William Edward
27 Ruan, Shigui
26 Fu, Xianlong
25 Li, Xuezhi
22 Henríquez, Hernán R.
21 Adimy, Mostafa
20 Wang, Jinliang
20 Yang, Junyuan
19 Wu, Jianhong
18 Rong, Libin
17 Chen, Yuming
17 Dyson, Janet
17 Lizama, Carlos
16 Inaba, Hisashi
16 Kuniya, Toshikazu
16 Liu, Zhihua
15 Balachandran, Krishnan
15 Calsina, Àngel
15 Farkas, József Zoltán
15 Villella-Bressan, Rosanna
15 Wang, Xia
15 Xu, Rui
14 Ainseba, Bedr’Eddine
14 Conejero, José Alberto
14 Martcheva, Maia
14 Ntouyas, Sotiris K.
14 Peris, Alfredo
14 Rezunenko, Oleksandr V”yacheslavovych
13 Banasiak, Jacek
13 Ducrot, Arnaud
13 Tao, Youshan
12 Elaiw, Ahmed M.
12 Feng, Zhilan
12 Kostić, Marko
12 Qiu, Zhipeng
11 Arino, Ovide
11 Bellomo, Nicola
11 Benchohra, Mouffak
11 Diekmann, Odo
11 López-Marcos, Juan Carlos
11 Perthame, Benoît
11 Winkler, Michael
11 Wu, YiXiang
10 Angulo, Oscar
10 Crauste, Fabien
10 Gabriel, Pierre
10 He, Zerong
10 Iannelli, Mimmo
10 Kim, Mi-Young
10 Langlais, Michel R.
10 Walker, Christoph
10 Zhu, Guangtian
9 Aniţa, Sebastian
9 Chang, Jung-Chan
9 Cushing, Jim M.
9 Parrott, Mary E.
9 Schappacher, Wilhelm
9 Song, Xinyu
9 Veliov, Vladimir M.
9 Wang, Xiaoyan
9 Xu, Jinhu
9 Yan, Dongxue
9 Zou, Xingfu
8 Boulanouar, Mohamed
8 Cai, Liming
8 Gupur, Geni
8 Hritonenko, Natali
8 Kunisch, Karl
8 Murillo-Arcila, Marina
8 Naito, Toshiki
8 Pandey, Dwijendra Narain
8 Sakthivel, Rathinasamy
8 Sinestrari, Eugenio
8 Thieme, Horst R.
8 Yatsenko, Yuri
7 Banks, Harvey Thomas
7 Di Blasio, Gabriella
7 Doumic, Marie
7 Gandolfi, Alberto
7 Geng, Yan
7 Gyllenberg, Mats
7 Hadeler, Karl-Peter
7 Huo, Hai-Feng
7 Kimmel, Marek
7 Kuang, Yang
7 Lou, Yijun
7 Luo, Zhixue
7 Ma, Zhien
7 McKibben, Mark Anthony
7 Nguyen Van Minh
7 Ouhinou, Aziz
7 Prüß, Jan Wilhelm
7 Pujo-Menjouet, Laurent
7 Shin, Jong Son
7 Sukavanam, Nagarajan
7 Vijayakumar, Velusamy
7 Wang, Yifu
...and 2,353 more Authors
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Cited in 311 Serials

200 Journal of Mathematical Analysis and Applications
108 Journal of Differential Equations
96 Journal of Mathematical Biology
76 Mathematical Biosciences
64 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
62 Nonlinear Analysis. Real World Applications
61 Computers & Mathematics with Applications
56 Applied Mathematics and Computation
55 Nonlinear Analysis. Theory, Methods & Applications
49 Bulletin of Mathematical Biology
47 Discrete and Continuous Dynamical Systems. Series B
41 Mathematical and Computer Modelling
36 Journal of Biological Dynamics
35 Journal of Theoretical Biology
34 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
34 International Journal of Biomathematics
27 Mathematical Biosciences and Engineering
26 Mathematical Methods in the Applied Sciences
25 Proceedings of the American Mathematical Society
22 Transactions of the American Mathematical Society
22 Advances in Difference Equations
21 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
20 Mathematical Population Studies
20 Journal of Evolution Equations
19 Semigroup Forum
19 Acta Applicandae Mathematicae
19 Journal of Biological Systems
19 Mathematical Modelling of Natural Phenomena
17 Applied Mathematical Modelling
17 Journal of Dynamics and Differential Equations
16 Journal of Optimization Theory and Applications
16 Applied Mathematics Letters
16 Abstract and Applied Analysis
15 Applicable Analysis
15 Israel Journal of Mathematics
12 Annali di Matematica Pura ed Applicata. Serie Quarta
12 Journal of Functional Analysis
12 Discrete and Continuous Dynamical Systems
11 Chaos, Solitons and Fractals
11 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
10 ZAMP. Zeitschrift für angewandte Mathematik und Physik
10 Integral Equations and Operator Theory
10 Journal of Computational and Applied Mathematics
10 Communications in Nonlinear Science and Numerical Simulation
10 Journal of Dynamical and Control Systems
9 Rocky Mountain Journal of Mathematics
9 Theoretical Population Biology
9 Journal of Nonlinear Science
9 Communications on Pure and Applied Analysis
9 Journal of Applied Mathematics and Computing
9 Mediterranean Journal of Mathematics
8 Nonlinearity
8 Mathematische Zeitschrift
8 Numerical Functional Analysis and Optimization
7 Journal of Mathematical Physics
7 Journal of Integral Equations and Applications
7 SIAM Journal on Applied Mathematics
7 Discrete Dynamics in Nature and Society
7 Afrika Matematika
6 Bulletin of the Australian Mathematical Society
6 International Journal of Control
6 Mathematical Notes
6 Applied Mathematics and Optimization
6 Tohoku Mathematical Journal. Second Series
6 Topology and its Applications
6 Numerical Methods for Partial Differential Equations
6 Japan Journal of Industrial and Applied Mathematics
6 Aequationes Mathematicae
6 SIAM Journal on Mathematical Analysis
6 Complexity
6 Differential Equations and Dynamical Systems
6 Journal of Systems Science and Complexity
6 Journal of Applied Mathematics
5 Archive for Rational Mechanics and Analysis
5 Archiv der Mathematik
5 Monatshefte für Mathematik
5 Stochastic Analysis and Applications
5 Applied Numerical Mathematics
5 Journal de Mathématiques Pures et Appliquées. Neuvième Série
5 Journal of Mathematical Sciences (New York)
5 Journal of Difference Equations and Applications
5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 Proceedings of the Japan Academy
5 Journal of Applied Analysis and Computation
5 Open Mathematics
4 Journal of the Franklin Institute
4 Czechoslovak Mathematical Journal
4 Mathematische Annalen
4 Mathematics and Computers in Simulation
4 Proceedings of the Japan Academy. Series A
4 Rendiconti del Seminario Matematico della Università di Padova
4 Results in Mathematics
4 SIAM Journal on Control and Optimization
4 Physica D
4 Acta Mathematicae Applicatae Sinica. English Series
4 MCSS. Mathematics of Control, Signals, and Systems
4 International Journal of Computer Mathematics
4 Applied Mathematics. Series B (English Edition)
4 Nonlinear Dynamics
...and 211 more Serials
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Cited in 45 Fields

1,208 Biology and other natural sciences (92-XX)
940 Partial differential equations (35-XX)
701 Ordinary differential equations (34-XX)
498 Operator theory (47-XX)
219 Dynamical systems and ergodic theory (37-XX)
204 Integral equations (45-XX)
178 Numerical analysis (65-XX)
156 Systems theory; control (93-XX)
111 Probability theory and stochastic processes (60-XX)
104 Calculus of variations and optimal control; optimization (49-XX)
53 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
34 Functional analysis (46-XX)
31 Mechanics of deformable solids (74-XX)
25 Difference and functional equations (39-XX)
22 Statistical mechanics, structure of matter (82-XX)
19 Real functions (26-XX)
18 Statistics (62-XX)
15 Operations research, mathematical programming (90-XX)
14 Global analysis, analysis on manifolds (58-XX)
12 Fluid mechanics (76-XX)
10 Abstract harmonic analysis (43-XX)
9 General topology (54-XX)
5 General and overarching topics; collections (00-XX)
5 History and biography (01-XX)
5 Measure and integration (28-XX)
5 Approximations and expansions (41-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
5 Integral transforms, operational calculus (44-XX)
4 Combinatorics (05-XX)
4 Group theory and generalizations (20-XX)
4 Classical thermodynamics, heat transfer (80-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Topological groups, Lie groups (22-XX)
3 Computer science (68-XX)
3 Mechanics of particles and systems (70-XX)
3 Quantum theory (81-XX)
2 Mathematical logic and foundations (03-XX)
2 Functions of a complex variable (30-XX)
2 Differential geometry (53-XX)
2 Geophysics (86-XX)
1 Number theory (11-XX)
1 Potential theory (31-XX)
1 Manifolds and cell complexes (57-XX)
1 Optics, electromagnetic theory (78-XX)
1 Information and communication theory, circuits (94-XX)

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