Open Access. Powered by Scholars. Published by Universities.®
- Institution
- Keyword
-
- Accipiter cooperi (1)
- Agent-based model (1)
- Alle alle (1)
- Bang bang control (1)
- Borrelia burgdorferi (1)
-
- Calanus (1)
- Capacity planning (1)
- Chaotic dynamical systems (1)
- Cholera model (1)
- Circuit models of neurons (1)
- Climate change (1)
- Conjugate embedding (1)
- Cooper's hawk (1)
- Dense orbit (1)
- Discrete event simulation (1)
- Dovekie (1)
- Dynamical system (1)
- East Greenland Current (1)
- Ehrlichiosis (1)
- Equilibrium (1)
- Facility layout design (1)
- Facility planning (1)
- Feigenbaum constant (1)
- Grain terminal (1)
- Isospiking bifurcation (1)
- Little auk (1)
- Lyme Disease (1)
- Mathematical model of infectious diseases (1)
- Nests (1)
- Optimal control (1)
Articles 1 - 9 of 9
Full-Text Articles in Life Sciences
Use Of Optimal Control Models To Predict Treatment Time For Managing Tick-Borne Disease, Holly D. Gaff, Elsa Schaefer, Suzanne Lenhart
Use Of Optimal Control Models To Predict Treatment Time For Managing Tick-Borne Disease, Holly D. Gaff, Elsa Schaefer, Suzanne Lenhart
Biological Sciences Faculty Publications
Tick-borne diseases have been on the rise recently, and correspondingly, there is an increased interest in implementing control measures to decrease the risk. Optimal control provides an ideal tool to identify the best method for reducing risk while accounting for the associated costs. Using a previously published model, a variety of frameworks are assessed to identify the key factors influencing mitigation strategies. The level and duration of tick-reducing efforts are key metrics for understanding the successful reduction in tick-borne disease incidence. The results show that the punctuated nature of the tick's life history plays a critical role in reducing risk …
Stability Analysis And Application Of A Mathematical Cholera Model, Shu Liao, Jim Wang
Stability Analysis And Application Of A Mathematical Cholera Model, Shu Liao, Jim Wang
Mathematics & Statistics Faculty Publications
In this paper, we conduct a dynamical analysis of the deterministic cholera model proposed in [9]. We study the stability of both the disease-free and endemic equilibria so as to explore the complex epidemic and endemic dynamics of the disease. We demonstrate a real-world application of this model by investigating the recent cholera outbreak in Zimbabwe. Meanwhile, we present numerical simulation results to verify the analytical predictions.
A Study On Facility Planning Using Discrete Event Simulation: Case Study Of A Grain Delivery Terminal., Sarah M. Asio
A Study On Facility Planning Using Discrete Event Simulation: Case Study Of A Grain Delivery Terminal., Sarah M. Asio
Department of Industrial and Management Systems Engineering: Dissertations, Theses, and Student Research
The application of traditional approaches to the design of efficient facilities can be tedious and time consuming when uncertainty and a number of constraints exist. Queuing models and mathematical programming techniques are not able to capture the complex interaction between resources, the environment and space constraints for dynamic stochastic processes. In the following study discrete event simulation is applied to the facility planning process for a grain delivery terminal. The discrete event simulation approach has been applied to studies such as capacity planning and facility layout for a gasoline station and evaluating the resource requirements for a manufacturing facility. To …
Modeling Human Immune Response To The Lyme Disease-Causing Bacteria, Yevhen Rutovytskyy
Modeling Human Immune Response To The Lyme Disease-Causing Bacteria, Yevhen Rutovytskyy
Honors Scholar Theses
The purpose of this project is to develop and analyze a mathematical model
for the pathogen-host interaction that occurs during early Lyme disease.
Based on the known biophysics of motility of Borrelia burgdorferi and a
simple model for the immune response, a PDE model was created which tracks
the time evolution of the concentrations of bacteria and activated immune
cells in the dermis. We assume that a tick bite inoculates a highly
localized population of bacteria into the dermis. These bacteria can
multiply and migrate. The diffusive nature of the migration is assumed and
modeled using the heat equation. Bacteria …
Preliminary Analysis Of An Agent-Based Model For A Tick-Borne Disease, Holly Gaff
Preliminary Analysis Of An Agent-Based Model For A Tick-Borne Disease, Holly Gaff
Biological Sciences Faculty Publications
Ticks have a unique life history including a distinct set of life stages and a single blood meal per life stage. This makes tick-host interactions more complex from a mathematical perspective. In addition, any model of these interactions must involve a significant degree of stochasticity on the individual tick level. In an attempt to quantify these relationships, I have developed an individual-based model of the interactions between ticks and their hosts as well as the transmission of tick-borne disease between the two populations. The results from this model are compared with those from previously published differential equation based population models. …
Neural Spike Renormalization. Part I — Universal Number 1, Bo Deng
Neural Spike Renormalization. Part I — Universal Number 1, Bo Deng
Department of Mathematics: Faculty Publications
For a class of circuit models for neurons, it has been shown that the transmembrane electrical potentials in spike bursts have an inverse correlation with the intra-cellular energy conversion: the fewer spikes per burst the more energetic each spike is. Here we demonstrate that as the per-spike energy goes down to zero, a universal constant to the bifurcation of spike-bursts emerges in a similar way as Feigenbaum’s constant does to the period-doubling bifurcation to chaos generation, and the new universal constant is the first natural number 1.
Neural Spike Renormalization. Part Ii — Multiversal Chaos, Bo Deng
Neural Spike Renormalization. Part Ii — Multiversal Chaos, Bo Deng
Department of Mathematics: Faculty Publications
Reported here for the first time is a chaotic infinite-dimensional system which contains infinitely many copies of every deterministic and stochastic dynamical system of all finite dimensions. The system is the renormalizing operator of spike maps that was used in a previous paper to show that the first natural number 1 is a universal constant in the generation of metastable and plastic spike-bursts of a class of circuit models of neurons.
Cooper’S Hawk Nest Site Characteristics In The Pineywoods Region, Richard R. Schaefer, D. Craig Rudolph, Josh B. Pierce, Jesse F. Fagan
Cooper’S Hawk Nest Site Characteristics In The Pineywoods Region, Richard R. Schaefer, D. Craig Rudolph, Josh B. Pierce, Jesse F. Fagan
Faculty Publications
Early accounts describe the Cooper’s Hawk (Accipiter cooperi) as a species in decline in much of North America during the early twentieth century (Bent 1937), particularly when in close proximity to humans (Eaton 1914). This decreasing population trend continued to be recognized later in the century in both Texas (Oberholser 1974) and Louisiana (Lowery 1974). Shooting and trapping during the first half of the 1900s, and pesticide use (especially DDT) after World War II are suggested as primary causes of the decline (Henny and Wight 1972, Bednarz et al. 1990). The Migratory Bird Treaty Act of 1972 and the ban …
Inter-Colony Comparison Of Diving Behavior Of An Arctic Top Predator: Implications For Warming In The Greenland Sea, Nina J. Karnovsky, Zachary W. Brown '07, Jorg Welcker, Ann M.A. Harding, Wojciech Walkusz, André Cavalcanti, Johanna S. Hardin, Alexander Kitaysky, Geir Gabrielsen, David Grémillet
Inter-Colony Comparison Of Diving Behavior Of An Arctic Top Predator: Implications For Warming In The Greenland Sea, Nina J. Karnovsky, Zachary W. Brown '07, Jorg Welcker, Ann M.A. Harding, Wojciech Walkusz, André Cavalcanti, Johanna S. Hardin, Alexander Kitaysky, Geir Gabrielsen, David Grémillet
Pomona Faculty Publications and Research
The goal of this study was to assess how diverse oceanographic conditions and prey communities affect the foraging behavior of little auks Alle alle. The Greenland Sea is characterized by 3 distinct water masses: (1) the East Greenland Current (EGC), which carries Arctic waters southward; (2) the Sørkapp Current (SC), which originates in the Arctic Ocean but flows north along the west coast of Spitsbergen; and (3) the West Spitsbergen Current (WSC), which carries warm Atlantic-derived water north. Each of these 3 water masses is characterized by a distinct mesozooplankton community. Little auks breeding adjacent to the EGC have …