Search Results - "Allen, Linda J.S."

A primer on stochastic epidemic models: Formulation, numerical simulation, and analysis by Allen, Linda J.S.

“…Some mathematical methods for formulation and numerical simulation of stochastic epidemic models are presented. Specifically, models are formulated for…”
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Probability of a zoonotic spillover with seasonal variation by Nandi, Aadrita, Allen, Linda J.S.

“…Zoonotic infectious diseases are spread from animals to humans. It is estimated that over 60% of human infectious diseases are zoonotic and 75% of them are…”
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The evolution of plant virus transmission pathways by Hamelin, Frédéric M., Allen, Linda J.S., Prendeville, Holly R., Hajimorad, M. Reza, Jeger, Michael J.

“…The evolution of plant virus transmission pathways is studied through transmission via seed, pollen, or a vector. We address the questions: under what…”
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The evolution of parasitic and mutualistic plant–virus symbioses through transmission-virulence trade-offs by Hamelin, Frédéric M., Hilker, Frank M., Sun, T. Anthony, Jeger, Michael J., Hajimorad, M. Reza, Allen, Linda J.S., Prendeville, Holly R.

“…•We use adaptive dynamics theory to study the evolution of plant–virus symbioses.•Ecological bistability in a discrete-time model with frequency-dependent…”
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Duration of a minor epidemic by Tritch, William, Allen, Linda J.S.

“…Disease outbreaks in stochastic SIR epidemic models are characterized as either minor or major. When ℛ0<1, all epidemics are minor, whereas if ℛ0>1, they can…”
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Effects of environmental variability on superspreading transmission events in stochastic epidemic models by Shakiba, Nika, Edholm, Christina J., Emerenini, Blessing O., Murillo, Anarina L., Peace, Angela, Saucedo, Omar, Wang, Xueying, Allen, Linda J.S.

“…Superspreaders (individuals with a high propensity for disease spread) have played a pivotal role in recent emerging and re-emerging diseases. In disease…”
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Comparison of deterministic and stochastic SIS and SIR models in discrete time by Allen, Linda J.S., Burgin, Amy M.

“…The dynamics of deterministic and stochastic discrete-time epidemic models are analyzed and compared. The discrete-time stochastic models are Markov chains,…”
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Coexistence of multiple pathogen strains in stochastic epidemic models with density-dependent mortality by Kirupaharan, Nadarajah, Allen, Linda J.S

“…Stochastic differential equations that model an SIS epidemic with multiple pathogen strains are derived from a system of ordinary differential equations. The…”
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Estimating Watershed Area for Playas in the Southern High Plains, USA by Ekanayake, Amy J., Tsai, Jo-Szu, Allen, Linda J. S., Smith, Loren M., Surles, James G., Allen, Edward J.

“…Hydrologic budgets for depressional wetlands require estimates of runoff from watersheds. In the Southern High Plains, where there is little elevation relief,…”
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Discrete May-Leonard Competition Models I by Roeger, Lih-Ing W., Allen†, Linda J.S.

“…The local dynamics of two discrete-time models applicable to three competing plant species are shown to have properties similar to the May-Leonard (M-L)…”
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Discrete-time deterministic and stochastic models for the spread of rabies by Allen, Linda J.S., Flores, David A., Ratnayake, Ruwan K., Herbold, John R.

“…Discrete spatial and temporal models for the spread and control of rabies are developed, analyzed and simulated. First, a deterministic model is formulated,…”
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Power law incidence rate in epidemic models by Allen, Linda J.S.

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The role of CD4 T cells in immune system activation and viral reproduction in a simple model for HIV infection by Aavani, Pooya, Allen, Linda JS

“…CD4 T cells play a fundamental role in the adaptive immune response including the stimulation of cytotoxic lymphocytes (CTLs). Human immunodeficiency virus…”
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Disease Emergence in Multi-Patch Stochastic Epidemic Models with Demographic and Seasonal Variability by Nipa, Kaniz Fatema, Allen, Linda J. S.

“…Factors such as seasonality and spatial connectivity affect the spread of an infectious disease. Accounting for these factors in infectious disease models…”
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Stochastic models of infectious diseases in a periodic environment with application to cholera epidemics by Allen, Linda J. S., Wang, Xueying

“…Seasonal variation affects the dynamics of many infectious diseases including influenza, cholera and malaria. The time when infectious individuals are first…”
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Stochastic models for virus and immune system dynamics by Yuan, Yuan, Allen, Linda J.S.

“…► New stochastic virus-cell models distinguish between two viral release strategies. ► In the absence of an immune response, bursting is more successful than…”
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The effect of demographic and environmental variability on disease outbreak for a dengue model with a seasonally varying vector population by Nipa, Kaniz Fatema, Jang, Sophia R.-J., Allen, Linda J.S.

“…Seasonal changes in temperature, humidity, and rainfall affect vector survival and emergence of mosquitoes and thus impact the dynamics of vector-borne disease…”
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Lyme Disease Models of Tick-Mouse Dynamics with Seasonal Variation in Births, Deaths, and Tick Feeding by Husar, Kateryna, Pittman, Dana C., Rajala, Johnny, Mostafa, Fahad, Allen, Linda J. S.

“…Lyme disease is the most common vector-borne disease in the United States impacting the Northeast and Midwest at the highest rates. Recently, it has become…”
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A Hybrid Epidemic Model to Explore Stochasticity in COVID-19 Dynamics by Hwang, Karen K. L., Edholm, Christina J., Saucedo, Omar, Allen, Linda J. S., Shakiba, Nika

“…The dynamic nature of the COVID-19 pandemic has demanded a public health response that is constantly evolving due to the novelty of the virus. Many…”
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The basic reproduction number in some discrete-time epidemic models by Allen, Linda J.S., van den Driessche, P.

“…The next generation matrix approach for calculating the basic reproduction number is summarized for discrete-time epidemic models. This approach is applied to…”
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