Linda J. S. Allen
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Biomathematician from the United States
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Linda J. S. Allenmathematics Degrees
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Mathematics Biology
Why Is Linda J. S. Allen Influential?
(Suggest an Edit or Addition)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 Works
- An introduction to stochastic processes with applications to biology (2003) (858)
- Some discrete-time SI, SIR, and SIS epidemic models. (1994) (428)
- An Introduction to Stochastic Epidemic Models (2008) (386)
- Comparison of deterministic and stochastic SIS and SIR models in discrete time. (2000) (338)
- Asymptotic profiles of the steady states for an SIS epidemic reaction-diffusion model (2008) (322)
- A primer on stochastic epidemic models: Formulation, numerical simulation, and analysis (2017) (233)
- An introduction to mathematical biology (2006) (218)
- The basic reproduction number in some discrete-time epidemic models (2008) (186)
- Asymptotic Profiles of the Steady States for an SIS Epidemic Patch Model (2007) (173)
- Construction of Equivalent Stochastic Differential Equation Models (2008) (148)
- Extinction thresholds in deterministic and stochastic epidemic models (2012) (125)
- A comparison of three different stochastic population models with regard to persistence time. (2003) (111)
- Persistence and extinction in single-species reaction-diffusion models (1983) (101)
- Relations between deterministic and stochastic thresholds for disease extinction in continuous- and discrete-time infectious disease models. (2013) (91)
- Stochastic models for virus and immune system dynamics. (2011) (87)
- Persistence, extinction, and critical patch number for island populations (1987) (85)
- Competitive exclusion and coexistence for pathogens in an epidemic model with variable population size (2003) (82)
- The dynamics of two viral infections in a single host population with applications to hantavirus. (2003) (71)
- A dengue model with a dynamic Aedes albopictus vector population (2010) (68)
- Analysis of climatic and geographic factors affecting the presence of chytridiomycosis in Australia. (2006) (62)
- A stage-structured, Aedes albopictus population model (2010) (60)
- Probability of a Disease Outbreak in Stochastic Multipatch Epidemic Models (2013) (59)
- Population extinction in discrete-time stochastic population models with an Allee effect (2005) (57)
- Establishing a beachhead: a stochastic population model with an Allee effect applied to species invasion. (2007) (53)
- Dispersal and competition models for plants (1996) (51)
- The basic reproduction number in epidemic models with periodic demographics (2009) (49)
- A diffusion model for dispersal of Opuntia imbricata (cholla) on rangeland (1991) (49)
- Mathematical Models for Hantavirus Infection in Rodents (2006) (48)
- A spatially structured metapopulation model with patch dynamics. (2006) (46)
- Stochastic epidemic models with a backward bifurcation. (2006) (46)
- A discrete-time model with vaccination for a measles epidemic. (1991) (44)
- Competitive exclusion in SIS and SIR epidemic models with total cross immunity and density-dependent host mortality (2005) (43)
- Persistence and extinction in Lotka-Volterra reaction-diffusion equations (1983) (42)
- Discrete-time deterministic and stochastic models for the spread of rabies (2002) (42)
- Stochastic model of an influenza epidemic with drug resistance. (2007) (41)
- Coexistence of multiple pathogen strains in stochastic epidemic models with density-dependent mortality (2004) (40)
- MATHEMATICAL MODELING OF VIRAL ZOONOSES IN WILDLIFE (2011) (39)
- Multi-patch deterministic and stochastic models for wildlife diseases (2007) (37)
- Disease emergence in multi-host epidemic models. (2007) (36)
- The effects of vaccination in an age-dependent model for varicella and herpes zoster (1998) (35)
- Stochastic Population and Epidemic Models (2015) (34)
- Spatial patterns in a discrete-time SIS patch model (2009) (33)
- Potential impacts of climate change on the ecology of dengue and its mosquito vector the Asian tiger mosquito (Aedes albopictus) (2012) (33)
- Modeling Virus Coinfection to Inform Management of Maize Lethal Necrosis in Kenya. (2017) (33)
- A habitat-based model for the spread of hantavirus between reservoir and spillover species (2009) (32)
- A comparison of persistence-time estimation for discrete and continuous stochastic population models that include demographic and environmental variability. (2005) (32)
- Optimal control of a vectored plant disease model for a crop with continuous replanting (2019) (28)
- Population Persistence and Extinction in a Discrete-time, Stage-structured Epidemic Model (2004) (27)
- The evolution of plant virus transmission pathways. (2016) (26)
- A density-dependent Leslie matrix model. (1989) (25)
- Models for the spread and persistence of hantavirus infection in rodents with direct and indirect transmission. (2010) (25)
- Environmentally driven epizootics. (1996) (24)
- Population extinction and quasi-stationary behavior in stochastic density-dependent structured models (2000) (23)
- A mathematical model for weed dispersal and control (1996) (23)
- Stochastic modeling of phytoplankton allelopathy (2014) (21)
- Coinfections by noninteracting pathogens are not independent and require new tests of interaction (2019) (21)
- SIS Epidemic Models with Multiple Pathogen Strains (2004) (20)
- ASYMPTOTIC DYNAMICS OF DETERMINISTIC AND STOCHASTIC EPIDEMIC MODELS WITH MULTIPLE PATHOGENS (2003) (20)
- Discrete May–Leonard Competition Models I (2004) (19)
- Stochastic Population and Epidemic Models: Persistence and Extinction (2015) (18)
- Mathematical analysis of a model for a plant-herbivore system (1993) (16)
- A stochastic model for transmission, extinction and outbreak of Escherichia coli O157:H7 in cattle as affected by ambient temperature and cleaning practices (2013) (16)
- Comparison of Markov Chain and Stochastic Differential Equation Population Models Under Higher-Order Moment Closure Approximations (2010) (16)
- Free-virus and cell-to-cell transmission in models of equine infectious anemia virus infection. (2015) (16)
- Disease emergence in deterministic and stochastic models for host and pathogen (2005) (15)
- Reassessing the Green in NAFTA (2018) (15)
- A mathematical analysis and simulation of a localized measles epidemic (1990) (15)
- POPULATION EXTINCTION IN DETERMINISTICAND STOCHASTIC DISCRETE‐TIME EPIDEMIC MODELS WITH PERIODIC COEFFICIENTS WITH APPLICATIONS TO AMPHIBIAN POPULATIONS (2006) (14)
- The evolution of parasitic and mutualistic plant-virus symbioses through transmission-virulence trade-offs. (2017) (14)
- A discrete-time rodent-hantavirus model structured by infection and developmental stages (2009) (14)
- A preliminary mathematical model of the apple twig borer (Coleoptera: Bostrichidae) and grapes on the Texas high plains (1991) (13)
- Duration of a minor epidemic (2018) (13)
- An analysis of the transmission of chlamydia in a closed population (1996) (13)
- The effect of delay in viral production in within-host models during early infection (2018) (13)
- Persistence-time models for use in viability analyses of vanishing species (1992) (13)
- The effect of demographic and environmental variability on disease outbreak for a dengue model with a seasonally varying vector population. (2020) (12)
- Modelling Vector Transmission and Epidemiology of Co-Infecting Plant Viruses (2019) (12)
- Risk of Population Extinction Due to Demographic Stochasticity in Population Models (2003) (12)
- Stochastic models for competing species with a shared pathogen. (2012) (12)
- A simple food chain with a growth inhibiting nutrient (1999) (12)
- Disease outbreaks in plant-vector-virus models with vector aggregation and dispersal (2016) (12)
- The impacs of long-range dispersal on the rate of spread in population and epidemic models (2002) (10)
- Analysis of a measles epidemic. (1993) (10)
- Discrete-time models for gene frequencies and population densities in plant pathosystems (2001) (9)
- Estimating watershed area for playas in the Southern High Plains, USA (2009) (9)
- The role of CD4 T cells in immune system activation and viral reproduction in a simple model for HIV infection (2019) (9)
- Impact of Variability in Stochastic Models of Bacteria-Phage Dynamics Applicable to Phage Therapy (2014) (8)
- Searching for Superspreaders: Identifying Epidemic Patterns Associated with Superspreading Events in Stochastic Models (2018) (8)
- Models of cytokine dynamics in the inflammatory response of viral zoonotic infectious diseases (2018) (8)
- Separate seasons of infection and reproduction can lead to multi-year population cycles. (2020) (8)
- Disease Emergence in Multi-Patch Stochastic Epidemic Models with Demographic and Seasonal Variability (2020) (7)
- On real-valued SDE and nonnegative-valued SDE population models with demographic variability (2020) (6)
- Predicting population extinction or disease outbreaks with stochastic models (2017) (6)
- Basic stochastic models for viral infection within a host. (2012) (6)
- Probability of a zoonotic spillover with seasonal variation (2021) (6)
- Models for an arenavirus infection in a rodent population: consequences of horizontal, vertical and sexual transmission. (2008) (6)
- Genetic models for plant pathosystems. (2002) (5)
- Probability of a major infection in a stochastic within-host model with multiple stages (2019) (5)
- Difference Equations And Discrete Dynamical Systems: Proceedings of the 9th International Conference University of Southern California, Los Angeles, California, USA, 2-7 August 2004 (2005) (4)
- Applications of Differential Inequalities to Persistence and Extinction Problems for Reaction-Diffusion Systems (1981) (4)
- Chapter 3 An Introduction to Stochastic Epidemic Models (2008) (4)
- The Greening of US Free Trade Agreements (2018) (4)
- Integrating Landscape Hierarchies in the Discovery and Modeling of Ecological Drivers of Zoonotically Transmitted Disease from Wildlife (2018) (4)
- Stability and permanence in gender- and stage-structured models for the boreal toad (2011) (3)
- Effects of environmental variability on superspreading transmission events in stochastic epidemic models (2021) (3)
- Co-infections by non-interacting pathogens are not independent & require new tests of interaction (2019) (3)
- Stochastic two-group models with transmission dependent on host infectivity or susceptibility (2018) (3)
- Power law incidence rate in epidemic models: Comment on: "Mathematical models to characterize early epidemic growth: A review" by Gerardo Chowell et al. (2016) (3)
- The Effect of Environmental Variability and Periodic Fluctuations on Disease Outbreaks in Stochastic Epidemic Models. (2018) (3)
- From Multiple Streams to Muddling Through: Policy Process Theories and “Field of Vision” (2020) (3)
- PERSISTENCE IN AN AGE‐STRUCTURED POPULATION FOR A PATCH‐TYPE ENVIRONMENT (1990) (3)
- AN INTRODUCTION TO STOCHASTIC EPIDEMIC MODELS-PART II (2008) (2)
- Stochastic models of infectious diseases in a periodic environment with application to cholera epidemics (2021) (2)
- A Model for the Optimal Control of a Measles Epidemic (1993) (2)
- A Hybrid Epidemic Model to Explore Stochasticity in COVID-19 Dynamics (2022) (2)
- Development and analysis of mathematical model for a plant-herbivore system (1995) (2)
- The Effect of Demographic Variability and Periodic Fluctuations on Disease Outbreaks in a Vector–Host Epidemic Model (2020) (2)
- Resonance in Beverton–Holt population models with periodic and random coefficients (2014) (2)
- Trade and Environment: A new Direction for Green Trade (2014) (2)
- Data-driven models for replication kinetics of Orthohantavirus infections. (2022) (2)
- Stochastic analysis of vaccination strategies (1992) (2)
- Coinfections by noninteracting pathogens are not independent and require new tests of interaction. (2019) (1)
- Continuous-Time and Continuous-State Branching Processes (2015) (1)
- Stochastic Multigroup Epidemic Models: Duration and Final Size (2019) (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) (1995) (1)
- Competition, Resource Use and Habitat Selection in Two Introduced Hawaiian Mannikins' (1992) (1)
- Urn model simulations of a sexually transmitted disease epidemic (1995) (1)
- Peace Stochastic modeling of infectious diseases (0)
- Mathematical analyses and simulations of a measles epidemic (1991) (0)
- Applications of Multi-Type Branching Processes (2015) (0)
- Environment, Host and Pathogen Diversity on Probability of Disease Extinction (2017) (0)
- Acknowledgment of Reviewers, 2018 (2018) (0)
- Tribute to Thomas G. Hallam's contributions to mathematical ecology, ecotoxicology, and the academic community. (2008) (0)
- Book Review (2007) (0)
- Discrete-Time Markov Chains (2010) (0)
- Applications of Single-Type Branching Processes (2015) (0)
- Branching Processes (2019) (0)
- Assessing the impact of non-vaccinators: quantifying the average length of infection chains in outbreaks of vaccine-preventable disease (2018) (0)
- Future of integration of environmental policies (2018) (0)
- Stochastic model of emerging and re-emerging diseases in heterogeneous population (2019) (0)
- Preface (2015) (0)
- DIVERSITY AND SPATIAL EFFECTS ON COMPETITIVE SYSTEMS (1982) (0)
- Open problems and conjectures (2001) (0)
- FACTORS INFLUENCING THE ESTABLISHMENT OF STORMWATER UTILITIES IN THE UNITED STATES (2020) (0)
- A stochastic model for transmission, extinction and outbreak of Escherichia coli O157:H7 in cattle as affected by ambient temperature and cleaning practices (2013) (0)
- Diffusion Processes and Stochastic Differential Equations (2010) (0)
- Continuous-Time Birth and Death Chains (2010) (0)
- Probability of a Disease Outbreak in Stochastic Multipatch Epidemic Models (2013) (0)
- Peatland Surface Monitoring and Analysis using Global Positioning Systems (2009) (0)
- Preface (2012) (0)
- Preface. Journal of Biological Dynamics. (2012) (0)
- Continuous-Time and Discrete-State Branching Processes (2015) (0)
- Biological Applications of Continuous-Time Markov Chains (2010) (0)
- Review of Probability Theory and an Introduction to Stochas- tic Processes (2010) (0)
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