Linda J. S. Allen | Academic Influence

Why Is Linda J. S. Allen Influential?

According to Wikipedia, Linda Joy Svoboda Allen is an American mathematician and mathematical biologist, the Paul Whitfield Horn Professor of Mathematics and Statistics at Texas Tech University. Education and career Allen earned a bachelor's degree in mathematics in 1975 from the College of St. Scholastica, and a master's degree in 1978 and doctorate in 1978 from the University of Tennessee. Her dissertation, Applications of Differential Inequalities to Persistence and Extinction Problems for Reaction-Diffusion Systems, was supervised by Thomas G. Hallam.

Linda J. S. Allen'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 Papers

An introduction to stochastic processes with applications to biology (746)
Some discrete-time SI, SIR, and SIS epidemic models. (369)
An Introduction to Stochastic Epidemic Models (330)
Comparison of deterministic and stochastic SIS and SIR models in discrete time. (302)
Asymptotic profiles of the steady states for an SIS epidemic reaction-diffusion model (226)
An introduction to mathematical biology (219)
A primer on stochastic epidemic models: Formulation, numerical simulation, and analysis (187)
The basic reproduction number in some discrete-time epidemic models (161)
Asymptotic Profiles of the Steady States for an SIS Epidemic Patch Model (138)
Construction of Equivalent Stochastic Differential Equation Models (132)
Extinction thresholds in deterministic and stochastic epidemic models (102)
A comparison of three different stochastic population models with regard to persistence time. (101)
Persistence and extinction in single-species reaction-diffusion models (97)
Persistence, extinction, and critical patch number for island populations (78)
Competitive exclusion and coexistence for pathogens in an epidemic model with variable population size (74)
Relations between deterministic and stochastic thresholds for disease extinction in continuous- and discrete-time infectious disease models. (72)
Stochastic models for virus and immune system dynamics. (69)
The dynamics of two viral infections in a single host population with applications to hantavirus. (69)
Analysis of climatic and geographic factors affecting the presence of chytridiomycosis in Australia. (62)
A dengue model with a dynamic Aedes albopictus vector population (61)
A stage-structured, Aedes albopictus population model (57)
Establishing a beachhead: a stochastic population model with an Allee effect applied to species invasion. (52)
Population extinction in discrete-time stochastic population models with an Allee effect (49)
A diffusion model for dispersal of Opuntia imbricata (cholla) on rangeland (48)
Mathematical Models for Hantavirus Infection in Rodents (46)
Dispersal and competition models for plants (45)
Probability of a Disease Outbreak in Stochastic Multipatch Epidemic Models (44)
The basic reproduction number in epidemic models with periodic demographics (44)
A discrete-time model with vaccination for a measles epidemic. (42)
A spatially structured metapopulation model with patch dynamics. (42)
Persistence and extinction in Lotka-Volterra reaction-diffusion equations (42)
Discrete-time deterministic and stochastic models for the spread of rabies (39)
Coexistence of multiple pathogen strains in stochastic epidemic models with density-dependent mortality (38)
The effects of vaccination in an age-dependent model for varicella and herpes zoster (37)
Stochastic model of an influenza epidemic with drug resistance. (37)
Competitive exclusion in SIS and SIR epidemic models with total cross immunity and density-dependent host mortality (35)
MATHEMATICAL MODELING OF VIRAL ZOONOSES IN WILDLIFE (35)
Stochastic epidemic models with a backward bifurcation. (33)
Disease emergence in multi-host epidemic models. (32)
Stochastic Population and Epidemic Models (30)
Potential impacts of climate change on the ecology of dengue and its mosquito vector the Asian tiger mosquito (Aedes albopictus) (30)
A comparison of persistence-time estimation for discrete and continuous stochastic population models that include demographic and environmental variability. (29)
Multi-patch deterministic and stochastic models for wildlife diseases (29)
A habitat-based model for the spread of hantavirus between reservoir and spillover species (29)
Spatial patterns in a discrete-time SIS patch model (28)
Modeling Virus Coinfection to Inform Management of Maize Lethal Necrosis in Kenya. (28)
Population Persistence and Extinction in a Discrete-time, Stage-structured Epidemic Model (27)
A density-dependent Leslie matrix model. (24)
Environmentally driven epizootics. (23)
The evolution of plant virus transmission pathways. (23)
Models for the spread and persistence of hantavirus infection in rodents with direct and indirect transmission. (20)
Population extinction and quasi-stationary behavior in stochastic density-dependent structured models (19)
Coinfections by noninteracting pathogens are not independent and require new tests of interaction (19)
SIS Epidemic Models with Multiple Pathogen Strains (19)
A mathematical model for weed dispersal and control (18)
Optimal control of a vectored plant disease model for a crop with continuous replanting (18)
ASYMPTOTIC DYNAMICS OF DETERMINISTIC AND STOCHASTIC EPIDEMIC MODELS WITH MULTIPLE PATHOGENS (17)
Discrete May–Leonard Competition Models I (17)
Stochastic modeling of phytoplankton allelopathy (16)
Comparison of Markov Chain and Stochastic Differential Equation Population Models Under Higher-Order Moment Closure Approximations (15)
Stochastic Population and Epidemic Models: Persistence and Extinction (15)
A mathematical analysis and simulation of a localized measles epidemic (15)
Reassessing the Green in NAFTA (14)
POPULATION EXTINCTION IN DETERMINISTICAND STOCHASTIC DISCRETE‐TIME EPIDEMIC MODELS WITH PERIODIC COEFFICIENTS WITH APPLICATIONS TO AMPHIBIAN POPULATIONS (14)
Persistence-time models for use in viability analyses of vanishing species (13)
A stochastic model for transmission, extinction and outbreak of Escherichia coli O157:H7 in cattle as affected by ambient temperature and cleaning practices (13)
Disease emergence in deterministic and stochastic models for host and pathogen (13)
Risk of Population Extinction Due to Demographic Stochasticity in Population Models (12)
A discrete-time rodent-hantavirus model structured by infection and developmental stages (12)
Mathematical analysis of a model for a plant-herbivore system (12)
A simple food chain with a growth inhibiting nutrient (12)
Free-virus and cell-to-cell transmission in models of equine infectious anemia virus infection. (11)
The evolution of parasitic and mutualistic plant-virus symbioses through transmission-virulence trade-offs. (11)
An analysis of the transmission of chlamydia in a closed population (11)
A preliminary mathematical model of the apple twig borer (Coleoptera: Bostrichidae) and grapes on the Texas high plains (11)
Analysis of a measles epidemic. (10)
Stochastic models for competing species with a shared pathogen. (10)
Duration of a minor epidemic (10)
The impacs of long-range dispersal on the rate of spread in population and epidemic models (9)
Estimating watershed area for playas in the Southern High Plains, USA (9)
The effect of delay in viral production in within-host models during early infection (9)
Discrete-time models for gene frequencies and population densities in plant pathosystems (9)
Modelling Vector Transmission and Epidemiology of Co-Infecting Plant Viruses (7)
Impact of Variability in Stochastic Models of Bacteria-Phage Dynamics Applicable to Phage Therapy (7)
The role of CD4 T cells in immune system activation and viral reproduction in a simple model for HIV infection (6)
Basic stochastic models for viral infection within a host. (6)
Disease outbreaks in plant-vector-virus models with vector aggregation and dispersal (6)
Separate seasons of infection and reproduction can lead to multi-year population cycles. (6)
Models for an arenavirus infection in a rodent population: consequences of horizontal, vertical and sexual transmission. (5)
Disease Emergence in Multi-Patch Stochastic Epidemic Models with Demographic and Seasonal Variability (5)
Searching for Superspreaders: Identifying Epidemic Patterns Associated with Superspreading Events in Stochastic Models (5)
Predicting population extinction or disease outbreaks with stochastic models (5)
Models of cytokine dynamics in the inflammatory response of viral zoonotic infectious diseases (5)
Chapter 3 An Introduction to Stochastic Epidemic Models (4)
Applications of Differential Inequalities to Persistence and Extinction Problems for Reaction-Diffusion Systems (4)
Difference Equations And Discrete Dynamical Systems: Proceedings of the 9th International Conference University of Southern California, Los Angeles, California, USA, 2-7 August 2004 (4)
Integrating Landscape Hierarchies in the Discovery and Modeling of Ecological Drivers of Zoonotically Transmitted Disease from Wildlife (4)
Genetic models for plant pathosystems. (4)
Co-infections by non-interacting pathogens are not independent & require new tests of interaction (4)
PERSISTENCE IN AN AGE‐STRUCTURED POPULATION FOR A PATCH‐TYPE ENVIRONMENT (3)
Stochastic two-group models with transmission dependent on host infectivity or susceptibility (3)
On real-valued SDE and nonnegative-valued SDE population models with demographic variability. (3)
Power law incidence rate in epidemic models: Comment on: "Mathematical models to characterize early epidemic growth: A review" by Gerardo Chowell et al. (3)
The Effect of Environmental Variability and Periodic Fluctuations on Disease Outbreaks in Stochastic Epidemic Models. (3)
Stability and permanence in gender- and stage-structured models for the boreal toad (3)
The Greening of US Free Trade Agreements (3)
Probability of a major infection in a stochastic within-host model with multiple stages (3)
The effect of demographic and environmental variability on disease outbreak for a dengue model with a seasonally varying vector population. (3)
A Model for the Optimal Control of a Measles Epidemic (2)
The Effect of Demographic Variability and Periodic Fluctuations on Disease Outbreaks in a Vector–Host Epidemic Model (2)
Development and analysis of mathematical model for a plant-herbivore system (2)
Stochastic analysis of vaccination strategies (2)
Resonance in Beverton–Holt population models with periodic and random coefficients (2)
AN INTRODUCTION TO STOCHASTIC EPIDEMIC MODELS-PART II (2)
Probability of a zoonotic spillover with seasonal variation (1)
A mathematical model for weed dispersal and control (1)
Continuous-Time and Continuous-State Branching Processes (1)
Competition, Resource Use and Habitat Selection in Two Introduced Hawaiian Mannikins' (1)
Mathematical analysis of a model for a plant-herbivore system (1)
Trade and Environment: A new Direction for Green Trade (1)
Urn model simulations of a sexually transmitted disease epidemic (1)
Modelling biological populations in space and time: Eric Renshaw, Cambridge Studies in Mathematical Biology, Cambridge Univ. Press, New York, 1993, 403 pp., $29.95 (paper back) (1)
Stochastic Multigroup Epidemic Models: Duration and Final Size (1)
Coinfections by noninteracting pathogens are not independent and require new tests of interaction. (1)
Mathematical analyses and simulations of a measles epidemic (0)
Applications of Single-Type Branching Processes (0)
DIVERSITY AND SPATIAL EFFECTS ON COMPETITIVE SYSTEMS (0)
Future of integration of environmental policies (0)
Effects of environmental variability on superspreading transmission events in stochastic epidemic models (0)
Assessing the impact of non-vaccinators: quantifying the average length of infection chains in outbreaks of vaccine-preventable disease (0)
Continuous-Time and Discrete-State Branching Processes (0)
Peatland Surface Monitoring and Analysis using Global Positioning Systems (0)
Open problems and conjectures (0)
Peace Stochastic modeling of infectious diseases (0)
Biological Applications of Continuous-Time Markov Chains (0)
Discrete-Time Markov Chains (0)
Preface. Journal of Biological Dynamics. (0)
Tribute to Thomas G. Hallam's contributions to mathematical ecology, ecotoxicology, and the academic community. (0)
Preface (0)
Acknowledgment of Reviewers, 2018 (0)
Stochastic model of emerging and re-emerging diseases in heterogeneous population (0)
Stochastic models of infectious diseases in a periodic environment with application to cholera epidemics. (0)
Persistence and extinction in single-species reaction-diffusion models (0)
Review of Probability Theory and an Introduction to Stochas- tic Processes (0)
Preface (0)
Continuous-Time Birth and Death Chains (0)
Branching Processes (0)
Environment, Host and Pathogen Diversity on Probability of Disease Extinction (0)
FACTORS INFLUENCING THE ESTABLISHMENT OF STORMWATER UTILITIES IN THE UNITED STATES (0)
Book Review (0)
Diffusion Processes and Stochastic Differential Equations (0)
From Multiple Streams to Muddling Through: Policy Process Theories and “Field of Vision” (0)
Applications of Multi-Type Branching Processes (0)

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