The work of Glenn F. Webb

DOI10.3934/mbe.2015.12.4vzbMath1323.01034OpenAlexW2324586857WikidataQ38386363 ScholiaQ38386363MaRDI QIDQ888639

William Edward Fitzgibbon

Publication date: 2 November 2015

Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mbe.2015.12.4v

Mathematics Subject Classification ID

Biographies, obituaries, personalia, bibliographies (01A70)

Cites Work

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• The contribution of age structure to cell population responses to targeted therapeutics
• Event based interpretation of Schrödinger's equation for the two-slit experiment
• Alzheimer's disease: analysis of a mathematical model incorporating the role of prions
• Diffusive age-dependent population models and an application to genetics
• Asymptotic behavior in nosocomial epidemic models with antibiotic resistance.
• A mathematical model quantifies proliferation and motility effects of TGF-\(\beta\) on cancer cells
• A stochastic and state space model for tumour growth and applications
• A diffusive age-structured SEIRS epidemic model
• Dynamics of populations structured by internal variables
• Mathematical model of the impact of a nonantibiotic treatment for Clostridium difficile on the endemic prevalence of vancomycin-resistant enterococci in a hospital setting
• The semigroup associated with nonlinear age dependent population dynamics
• Resonance phenomena in cell population chemotherapy models
• Dispersion population models discrete in time and continuous in space
• Analysis of a model for the dynamics of prions. II
• Asymptotic behaviour of solutions to abstract logistic equations
• Nonlinear semigroups and age-dependent population models
• A recovery-relapse epidemic model with spatial diffusion
• Nonautonomous functional equations and nonlinear evolution operators
• Nonlinear age-dependent population dynamics with random diffusion
• A model of proliferating cell populations with inherited cycle length
• Age-size structure in populations with quiescence
• Random transitions, size control, and inheritance in cell population dynamics
• Dynamics of structured populations with inherited properties
• Nonlinear hyperbolic systems with nonlocal boundary conditions
• A representation formula for strongly continuous cosine families
• An age-dependent epidemic model with spatial diffusion
• A reaction-diffusion model for a deterministic diffusive epidemic
• A nonlinear structured population model of tumor growth with quiescence
• A model of proliferating cell populations with correlation of mother- daughter mitotic times
• Asynchronous exponential growth of semigroups of nonlinear operators
• Partial differential equations with deviating arguments in the time variable
• Volterra integral equations as functional differential equations on infinite intervals
• Exponential representation of solutions to an abstract semilinear differential equation
• \(\alpha\)-and \(\beta\)-curves, sister-sister and mother-daughter correlations in cell population dynamics
• Growth bounds of solutions of abstract nonlinear differential equations
• Diffusive epidemic models with spatial and age dependent heterogeneity
• Understanding drug resistance for monotherapy treatment of HIV infection
• Necessary and sufficient conditions for asynchronous exponential growth in age structured cell populations with quiescence
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• The evolution of a tumor cord cell population
• Critical role of nosocomial transmission in the Toronto SARS outbreak
• A semilinear transport equation with delays
• Functional differential equations and nonlinear semigroups in \(L^p\) spaces
• Diffusion epidemic models with incubation and crisscross dynamics
• A model for treatment strategy in the chemotherapy of AIDS
• A nonlinear age and maturity structured model of population dynamics. II: Chaos
• A nonlinear age and maturity structured model of population dynamics. I: Basic theory
• A mathematical analysis of the dynamics of prion proliferation
• Stabilization of telomeres in nonlinear models of proliferating cell lines
• Modeling antibiotic resistance in hospitals: the impact of minimizing treatment duration
• An age and spatially structured model of tumor invasion with haptotaxis
• Analysis of a model for the dynamics of prions
• Product integral representation of time dependent nonlinear evolution equations in Banach spaces
• Accretive operators and existence for nonlinear functional differential equations
• Continuous nonlinear perturbations of linear accretive operators in Banach spaces
• Nonlinear perturbations of linear accretive operators in Banach spaces
• Asymptotic properties of a continuous-space discrete-time population model in a random environment
• Immunotherapy of HIV-1 Infection
• Global Existence and Boundedness of Solutions to a Model of Chemotaxis
• Quantifying the Impact of Bacterial Fitness and Repeated Antimicrobial Exposure on the Emergence of Multidrug-Resistant Gram-Negative Bacilli
• A Spatial Model of Tumor Growth with Cell Age, Cell Size, and Mutation of Cell Phenotypes
• Existence and Asymptotic Properties of Solutions of a Nonlocal Evolution Equation Modeling Cell-Cell Adhesion
• AN IN VITRO CELL POPULATION DYNAMICS MODEL INCORPORATING CELL SIZE, QUIESCENCE, AND CONTACT INHIBITION
• Asynchronous Exponential Growth in Transition Probability Models of the Cell Cycle
• Compactness of bounded trajectories of dynamical systems in infinite dimensional spaces
• Existence, Stability, and Compactness in the α-Norm for Partial Functional Differential Equations
• Existence and Asymptotic Behavior for a Strongly Damped Nonlinear Wave Equation
• A non-local evolution equation model of cell–cell adhesion in higher dimensional space
• An Age and Spatially Structured Model of Tumor Invasion with Haptotaxis II
• Rapid Emergence of Co-colonization with Community-acquired and Hospital-Acquired Methicillin-ResistantStaphylococcus aureusStrains in the Hospital Setting
• Pre-symptomatic Influenza Transmission, Surveillance, and School Closings: Implications for Novel Influenza A (H1N1)
• Lyapunov functional and global asymptotic stability for an infection-age model
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• Logistic models of structured population growth
• An Operator-Theoretic Formulation of Asynchronous Exponential Growth
• A Comparison of Dispersal Strategies for Survival of Spatially Heterogeneous Populations
• A Bifurcation Problem for a Nonlinear Hyperbolic Partial Differential Equation
• Nonlinear nonautonomous functional differential equations in Lp spaces
• Perturbation of strongly continuous cosine family generators
• Existence and Stability for Partial Functional Differential Equations
• Asymptotic Stability for Abstract Nonlinear Functional Differential Equations
• Relative boundedness conditions and the perturbation of nonlinear operators
• Boundary Value Problems for Functional Differential Equations with L 2 Initial Functions
• Volterra integral equations and nonlinear semigroups
• Abstract scattering for nonlinear evolution equations
• Cosine families and abstract nonlinear second order differential equations
• An Abstract Semilinear Volterra Integrodifferential Equation
• Numerical Approximation of Nonlinear Functional Differential Equations with $L^2 $ Initial Functions
• An Abstract Second Order Semilinear Volterra Integrodifferential Equation
• Hypercyclic and chaotic semigroups of linear operators
• Hypercyclicity of solutions of a transport equation with delays
• A Mathematical Model of Combined Drug Therapy of HIV Infection
• Dynamics of bacterial phenotype selection in a colonized host
• A diffusive system with age dependency modeling fiv
• Analysis of a Model for Transfer Phenomena in Biological Populations
• Competition of hospital-acquired and community-acquired methicillin-resistantStaphylococcus aureusstrains in hospitals
• Effects of General Incidence and Polymer Joining on Nucleated Polymerization in a Model of Prion Proliferation
• Computational Methods and Results for Structured Multiscale Models of Tumor Invasion
• Nonlinear Evolution Equations and Product Integration in Banach Spaces
• Nonlinear Evolution Equations and Product Stable Operators on Banach Spaces
• Dual Spaces of Spaces of Quasi‐Continuous Functions
• The prime number periodical cicada problem
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