Glenn F. Webb
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American mathematician
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Glenn F. Webbmathematics Degrees
Mathematics
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Mathematics
Glenn F. Webb's Degrees
- PhD Mathematics University of California, Berkeley
- Masters Mathematics University of California, Berkeley
- Bachelors Mathematics University of California, Berkeley
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Why Is Glenn F. Webb Influential?
(Suggest an Edit or Addition)According to Wikipedia, Glenn F. Webb is a mathematician based in Vanderbilt University. His research interests include mathematical biology and the use of differential equations to model population dynamics and tumor growth.
Glenn F. Webb's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Theory of Nonlinear Age-Dependent Population Dynamics (1985) (1228)
- Existence and stability for partial functional differential equations (1974) (465)
- Cosine families and abstract nonlinear second order differential equations (1978) (434)
- A mathematical model of cell-to-cell spread of HIV-1 that includes a time delay (2003) (285)
- Lyapunov functional and global asymptotic stability for an infection-age model (2010) (268)
- Modeling the invasion of community-acquired methicillin-resistant Staphylococcus aureus into hospitals. (2009) (221)
- Hypercyclic and chaotic semigroups of linear operators (1997) (214)
- Understanding Unreported Cases in the COVID-19 Epidemic Outbreak in Wuhan, China, and the Importance of Major Public Health Interventions (2020) (191)
- Predicting the cumulative number of cases for the COVID-19 epidemic in China from early data (2020) (180)
- Population Models Structured by Age, Size, and Spatial Position (2008) (179)
- Existence and Asymptotic Behavior for a Strongly Damped Nonlinear Wave Equation (1980) (174)
- Existence, stability, and compactness in the -norm for partial functional differential equations (1978) (161)
- A model of antibiotic-resistant bacterial epidemics in hospitals. (2005) (160)
- A nonlinear structured population model of tumor growth with quiescence (1990) (158)
- Modeling antibiotic resistance in hospitals: the impact of minimizing treatment duration. (2007) (143)
- A model for treatment strategy in the chemotherapy of AIDS. (1996) (131)
- Global Existence of Classical Solutions for a Haptotaxis Model (2007) (130)
- Quiescence as an explanation of Gompertzian tumor growth. (1989) (128)
- SECOND ORDER DIFFERENTIAL EQUATIONS IN BANACH SPACE (1978) (122)
- Different Modalities of Intercellular Membrane Exchanges Mediate Cell-to-cell P-glycoprotein Transfers in MCF-7 Breast Cancer Cells* (2012) (119)
- Functional differential equations and nonlinear semigroups in Lp-spaces (1976) (118)
- Continuous nonlinear perturbations of linear accretive operators in banach spaces (1972) (115)
- A mathematical model of bone remodeling dynamics for normal bone cell populations and myeloma bone disease (2010) (111)
- Autonomous nonlinear functional differential equations and nonlinear semigroups (1974) (102)
- An operator-theoretic formulation of asynchronous exponential growth (1987) (101)
- A mathematical analysis of the dynamics of prion proliferation. (2006) (100)
- A Model of the 2014 Ebola Epidemic in West Africa with Contact Tracing (2014) (88)
- A Mathematical Model of Combined Drug Therapy of HIV Infection (1997) (86)
- Partial differential equations with deviating arguments in the time variable (1976) (85)
- Analysis of a model for the dynamics of prions (2005) (85)
- A reaction-diffusion model for a deterministic diffusive epidemic (1981) (85)
- A mathematical model quantifying the impact of antibiotic exposure and other interventions on the endemic prevalence of vancomycin-resistant enterococci. (2005) (84)
- Modeling contact tracing in outbreaks with application to Ebola. (2015) (79)
- Model of HIV-1 disease progression based on virus-induced lymph node homing and homing-induced apoptosis of CD4+ lymphocytes. (2000) (76)
- Critical role of nosocomial transmission in the toronto sars outbreak. (2004) (76)
- Dynamics of naive and memory CD4+ T lymphocytes in HIV-1 disease progression. (2002) (75)
- Efficacy of Infection Control Interventions in Reducing the Spread of Multidrug-Resistant Organisms in the Hospital Setting (2012) (75)
- Age-size structure in populations with quiescence (1987) (73)
- Understanding drug resistance for monotherapy treatment of HIV infection (1997) (70)
- Consequences of cell-to-cell P-glycoprotein transfer on acquired multidrug resistance in breast cancer: a cell population dynamics model (2010) (68)
- The impact of persistent gastrointestinal colonization on the transmission dynamics of vancomycin-resistant enterococci. (2002) (68)
- Asynchronous exponential growth in an age structured population of proliferating and quiescent cells. (2002) (68)
- Computational Methods and Results for Structured Multiscale Models of Tumor Invasion (2005) (67)
- Predicting the number of reported and unreported cases for the COVID-19 epidemic in South Korea, Italy, France and Germany (2020) (67)
- Asymptotic stability for abstract nonlinear functional differential equations (1976) (66)
- Immunotherapy of HIV-1 Infection (1998) (66)
- Semigroups of Linear Operators and Applications to Partial Differential Equations (A. Pazy) (1985) (64)
- Compactness of bounded trajectories of dynamical systems in infinite dimensional spaces (1979) (61)
- Necessary and Sufficient Conditions for Asynchronous Exponential Growth in Age Structured Cell Populations with Quiescence (1997) (61)
- Predicting differential responses to structured treatment interruptions during HAART (2004) (59)
- The parameter identification problem for SIR epidemic models: identifying unreported cases (2018) (59)
- The contribution of age structure to cell population responses to targeted therapeutics. (2011) (58)
- Mathematical modeling of the loss of telomere sequences. (1995) (58)
- An abstract second order semi-linear Volterra integrodi er-ential equation (1979) (56)
- A silent bomb: The risk of anthrax as a weapon of mass destruction (2003) (55)
- A nonlinear age and maturity structured model of population dynamics. I. Basic theory (2000) (55)
- An age-dependent epidemic model with spatial diffusion (1980) (54)
- Dynamics of bacterial phenotype selection in a colonized host (2002) (53)
- A model of proliferating cell populations with inherited cycle length (1986) (52)
- A semigroup proof of the Sharpe-Lotka theorem (1984) (52)
- Mutation, selection, and recombination in a model of phenotype evolution (1999) (50)
- Asymptotic properties of a continuous-space discrete-time population model in a random environment (1988) (50)
- Alzheimer’s disease: analysis of a mathematical model incorporating the role of prions (2013) (48)
- Dispersion population models discrete in time and continuous in space (1990) (47)
- An abstract semilinear Volterra integrodifferential equation (1978) (47)
- Final Size of an Epidemic for a Two-Group SIR Model (2016) (47)
- A model for treatment strategy in the chemotherapy of AIDS (1996) (45)
- On the Basic Reproduction Number of Reaction-Diffusion Epidemic Models (2019) (45)
- Mailborne transmission of anthrax: Modeling and implications (2002) (45)
- An outbreak vector-host epidemic model with spatial structure: the 2015–2016 Zika outbreak in Rio De Janeiro (2016) (44)
- A Nonlinear Age and Maturity Structured Model of Population Dynamics: II. Chaos (2000) (43)
- Asynchronous exponential growth of semigroups of nonlinear operators (1992) (41)
- Diffusion epidemic models with incubation and crisscross dynamics. (1995) (41)
- Resonance phenomena in cell population chemotherapy models (1990) (40)
- On a vector-host epidemic model with spatial structure (2018) (40)
- Competition of hospital-acquired and community-acquired methicillin-resistant Staphylococcus aureus strains in hospitals (2010) (40)
- Nonlinear age-dependent population dynamics with random diffusion (1985) (39)
- A comparison of dispersal strategies for survival of spatially heterogeneous populations (1988) (39)
- Resistance, remission, and qualitative differences in HIV chemotherapy. (1997) (39)
- A model to predict COVID-19 epidemics with applications to South Korea, Italy, and Spain (2020) (39)
- Modeling the Impact on HIV Incidence of Combination Prevention Strategies among Men Who Have Sex with Men in Beijing, China (2014) (36)
- A mathematical model separates quantitatively the cytostatic and cytotoxic effects of a HER2 tyrosine kinase inhibitor (2007) (35)
- Asymptotic behavior in nosocomial epidemic models with antibiotic resistance (2006) (35)
- A Bifurcation Problem for a Nonlinear Hyperbolic Partial Differential Equation (1979) (34)
- An age and spatially structured model of tumor invasion with haptotaxis (2007) (32)
- AN IN VITRO CELL POPULATION DYNAMICS MODEL INCORPORATING CELL SIZE, QUIESCENCE, AND CONTACT INHIBITION (2011) (31)
- The prime number periodical cicada problem (2001) (30)
- Dynamics of structured populations with inherited properties (1987) (29)
- The steady state of a tumor cord cell population (2002) (29)
- Host Demise as a Beneficial Function of Indigenous Microbiota in Human Hosts (2014) (28)
- Existence and Asymptotic Properties of Solutions of a Nonlocal Evolution Equation Modeling Cell-Cell Adhesion (2010) (27)
- Final size of a multi-group SIR epidemic model: Irreducible and non-irreducible modes of transmission. (2018) (27)
- A SINGULAR TRANSPORT EQUATION MODELLING A PROLIFERATING MATURITY STRUCTURED CELL POPULATION (2005) (27)
- Effects of General Incidence and Polymer Joining on Nucleated Polymerization in a Model of Prion Proliferation (2007) (26)
- Structured population dynamics (2003) (26)
- Random transitions, size control, and inheritance in cell population dynamics (1987) (26)
- A mathematical model quantifies proliferation and motility effects of TGF-β on cancer cells. (2007) (26)
- Diffusive epidemic models with spatial and age dependent heterogeneity (1994) (24)
- The steady state of a maturity structured tumor cord cell population (2003) (24)
- A model of the Ebola epidemics in West Africa incorporating age of infection (2015) (24)
- Analysis of a Model for Transfer Phenomena in Biological Populations (2009) (24)
- Asynchronous exponential growth in transition probability models of the cell cycle (1987) (24)
- Nonlinear evolution equations and product integration in Banach spaces. (1970) (24)
- Identifying the number of unreported cases in SIR epidemic models. (2020) (23)
- Rapid Emergence of Co-colonization with Community-acquired and Hospital-Acquired Methicillin-Resistant Staphylococcus aureus Strains in the Hospital Setting. (2009) (23)
- Perturbation of strongly continuous cosine family generators (1981) (23)
- Dynamics of populations structured by internal variables (1985) (22)
- A NONLINEAR CELL POPULATION MODEL OF PERIODIC CHEMOTHERAPY TREATMENT (1992) (21)
- Product integral representation of time dependent nonlinear evolution equations in Banach spaces (1970) (20)
- A Spatial Model of Tumor Growth with Cell Age, Cell Size, and Mutation of Cell Phenotypes (2007) (20)
- Abstract volterra integrodifferential equations and a class of reaction-diffusion equations (1979) (20)
- Being Prepared: Modeling the Response to an Anthrax Attack (2005) (19)
- Mathematical Model of the Impact of a Nonantibiotic Treatment for Clostridium difficile on the Endemic Prevalence of Vancomycin-Resistant Enterococci in a Hospital Setting (2012) (19)
- Nonlinear perturbations of linear accretive operators in Banach spaces (1972) (19)
- Logistic models of structured population growth (1986) (19)
- A nosocomial epidemic model with infection of patients due to contaminated rooms. (2015) (18)
- Asymptotic behaviour of solutions to abstract logistic equations. (2007) (17)
- Regularity of solutions to an abstract inhomogeneous linear differential equation (1977) (17)
- The effect of co-colonization with community-acquired and hospital-acquired methicillin-resistant Staphylococcus aureus strains on competitive exclusion. (2010) (17)
- Nonlinear evolution equations and product stable operators on Banach spaces (1971) (16)
- An Environmental Model of Honey Bee Colony Collapse Due to Pesticide Contamination (2019) (16)
- Nonlinear semigroups and age-dependent population models (1981) (16)
- A recovery-relapse epidemic model with spatial diffusion (1982) (16)
- A diffusive system with age dependency modeling FIV (1995) (15)
- Nonlinear hyperbolic systems with nonlocal boundary conditions (1987) (15)
- A vector–host epidemic model with spatial structure and age of infection (2017) (14)
- Hypercyclicity of solutions of a transport equation with delays (1997) (14)
- A diffusive age-structured SEIRS epidemic model (1996) (14)
- Nonlinear nonautonomous functional differential equations in Lp spaces (1981) (14)
- A non-local evolution equation model of cell–cell adhesion in higher dimensional space (2013) (14)
- Review of trends in theory and practice of nonlinear differential equations, lecture notes in pure and applied mathematics: Vol. 90, Marcel Dekker, Inc., New York and Basel, 1984, V. Lakshmikantham, Ed. (1986) (14)
- The evolution of a tumor cord cell population (2004) (14)
- A representation formula for strongly continuous cosine families (1980) (13)
- Stabilization of telomeres in nonlinear models of proliferating cell lines. (2007) (13)
- Exponential representation of solutions to an abstract semi-linear differential equation. (1977) (13)
- A semilinear transport equation with delays (2003) (13)
- Pre-symptomatic Influenza Transmission, Surveillance, and School Closings: Implications for Novel Influenza A (H1N1) (2010) (13)
- A maturity structured model of a population of proliferating and quiescent cells (1999) (12)
- A stochastic and state space model for tumour growth and applications (2009) (12)
- Spatial spread of epidemic diseases in geographical settings: Seasonal influenza epidemics in Puerto Rico (2018) (12)
- Diffusive age-dependent population models and an application to genetics (1982) (12)
- Optimal control applied to community-acquired methicillin-resistant Staphylococcus aureus in hospitals (2017) (12)
- Resonances in periodic chemotherapy scheduling (1995) (12)
- A model of proliferating cell populations with correlation of mother-daughter mitotic times (1991) (11)
- Accretive operators and existence for nonlinear functional differential equations (1973) (11)
- Volterra integral equations as functional differential equations on infinite intervals (1977) (11)
- Volterra integral equations and nonlinear semigroups (1977) (11)
- Semi-groups of nonlinear nonexpansive transformations in Banach spaces (1968) (10)
- Numerical Approximation of Nonlinear Functional Differential Equations with $L^2 $ Initial Functions (1978) (10)
- A COVID-19 epidemic model predicting the effectiveness of vaccination (2021) (7)
- A spatial model of honey bee colony collapse due to pesticide contamination of foraging bees (2020) (7)
- Spatial models of vector-host epidemics with directed movement of vectors over long distances. (2018) (7)
- A fully continuous individual-based model of tumor cell evolution. (2008) (7)
- Global Existence and Boundedness of Solutions to a Model of Chemotaxis (2008) (7)
- α- and β-curves, sister-sister and mother-daughter correlations in cell population dynamics (1989) (7)
- The semigroup associated with nonlinear age dependent population dynamics (1983) (7)
- Event Based Interpretation of Schrödinger’s Equation for the Two-slit Experiment (2011) (6)
- Boundary value problems for functional differential equations with $L\sp{2}$ initial functions (1976) (6)
- Convexity of the Growth Bound of C 0 -Semigroups of Operators (1993) (6)
- Modeling economic and epidemiological impact of voluntary medical male circumcision among men who have sex with men in Beijing, China (2019) (5)
- A Cell Population Model Structured by Cell Age Incorporating Cell–Cell Adhesion (2014) (5)
- Individual based models and differential equations models of nosocomial epidemics in hospital intensive care units (2017) (5)
- Growth bounds of solutions of abstract nonlinear differential equations (1994) (4)
- Nonautonomous functional equations and nonlinear evolution operators (1984) (4)
- Quantifying the Impact of Bacterial Fitness and Repeated Antimicrobial Exposure on the Emergence of Multidrug-Resistant Gram-Negative Bacilli (2007) (4)
- A GENETICS MODEL WITH AGE DEPENDENCE AND SPATIAL DIFFUSION (1981) (3)
- Modelling the aqueous transport of an infectious pathogen in regional communities: application to the cholera outbreak in Haiti (2020) (3)
- Predicting the long-term impact of voluntary medical male circumcision on HIV incidence among men who have sex with men in Beijing, China (2020) (3)
- Modeling epidemic outbreaks in geographical regions: Seasonal influenza in Puerto Rico (2018) (2)
- Mathematical analysis of a clonal evolution model of tumour cell proliferation (2015) (2)
- Analysis of age and spatially dependent population model: Application to forest growth (2020) (2)
- Asynchronous Exponential Growth in Differential Equations with Homogeneous Nonlinearities (2020) (2)
- A stochastic model of nosocomial epidemics in hospital intensive care units (2017) (2)
- Multiscale Models of Tumor Invasion (2005) (1)
- Dual Spaces of Spaces of Quasi‐Continuous Functions (1973) (1)
- Track C Epidemiology and Prevention Science (2012) (1)
- Ensemble Interpretation of Quantum Mechanics and the Two-Slit Experiment (2018) (1)
- A representation formula for strongly continuous cosine families (1980) (1)
- Abstract scattering for nonlinear evolution equations (1974) (1)
- ResearchA mathematical model of bone remodeling dynamics for normal bone cell populations and myeloma bone disease (2010) (1)
- Audit of psychiatric emergencies in the A & E department of an urban general hospital (1993) (1)
- Aircraft ’69. Edited by J. W. R. Taylor. Ian Allan, London. 1968. 100 pp. 12s 6d. (1969) (0)
- Book reviewOptimal control of drug administration in cancer chemotherapy: Rory Martin and K. L. Teo, World Scientific Publishing Company, Singapore, Republic of Singapore, 1994, 187 pp., $48.00 (hardback) (1996) (0)
- Maritime Transport and the Threat of Bio Invasion and the Spread of Infectious Disease (2020) (0)
- Preface: Population dynamics in epidemiology and ecology (2020) (0)
- An Age Dependent Regularization of Martin’s Problem (2020) (0)
- Supplementary material from "Modelling the aqueous transport of an infectious pathogen in regional communities: application to the cholera outbreak in Haiti" (2020) (0)
- Quiescence in Structured Population Dynamics (2020) (0)
- Chapter 5 On an abstract nonlinear functional second order Volterra integrodifferential equation (2016) (0)
- dynamics for normal bone cell populations and myeloma bone disease (2010) (0)
- The Art of Aeronautics (1967) (0)
- Life is Lived on the Edge (2020) (0)
- One Step at a Time (2020) (0)
- TUPDC0103: Gonorrhea infections diagnosed among persons living with HIV: cross matching surveillance registries to identify potential opportunities for integrated partner services-New York City, Washington D.C., Miami/Dade County and Arizona (2012) (0)
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