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357 full-text articles. Page 1 of 14.

Strong Stability Of A Class Of Difference Equations Of Continuous Time And Structured Singular Value Problem, Qian Ma, Keqin Gu, Narges Choubedar 2018 Nanjing University of Science and Technology

Strong Stability Of A Class Of Difference Equations Of Continuous Time And Structured Singular Value Problem, Qian Ma, Keqin Gu, Narges Choubedar

SIUE Faculty Research, Scholarship, and Creative Activity

This article studies the strong stability of scalar difference equations of continuous time in which the delays are sums of a number of independent parameters tau_i, i = 1, 2, . . . ,K. The characteristic quasipolynomial of such an equation is a multilinear function of exp(-tau_i s). It is known that the characteristic quasipolynomial of any difference equation set in the form of one-delayper- scalar-channel (ODPSC) model is also in such a multilinear form. However, it is shown in this article that some multilinear forms of quasipolynomials are not characteristic quasipolynomials of any ODPSC difference equation set. The equivalence between local strong ...


Model Selection And Permanence In A Stochastic Integrated Pest Management Model, Timothy Comar, Olcay Akman, Daniel Hrozencik 2017 Benedictine University

Model Selection And Permanence In A Stochastic Integrated Pest Management Model, Timothy Comar, Olcay Akman, Daniel Hrozencik

Annual Symposium on Biomathematics and Ecology: Education and Research

No abstract provided.


Agent-Based Model For Integrated Pest Management With Periodic Control Strategies, Timothy Comar, Elizabeth Rodriguez 2017 Benedictine University

Agent-Based Model For Integrated Pest Management With Periodic Control Strategies, Timothy Comar, Elizabeth Rodriguez

Annual Symposium on Biomathematics and Ecology: Education and Research

No abstract provided.


Stochastic And Deterministic Multigroup Epidemiology, Jordan Hasler, Chris Chang, Ananya Yammanuru, Lewis Oh, Esther Matthew, Mounisha Kovour 2017 Illinois Mathematics and Science Academy

Stochastic And Deterministic Multigroup Epidemiology, Jordan Hasler, Chris Chang, Ananya Yammanuru, Lewis Oh, Esther Matthew, Mounisha Kovour

Annual Symposium on Biomathematics and Ecology: Education and Research

No abstract provided.


Yeast Cell Cycle And Metabolism Can Be Coupled In Nontrivial Ways., Todd Young 2017 Illinois State University

Yeast Cell Cycle And Metabolism Can Be Coupled In Nontrivial Ways., Todd Young

Annual Symposium on Biomathematics and Ecology: Education and Research

No abstract provided.


Modeling Microtubule-Based Transport In The Frog Egg Cell, Maria-Veronica Ciocanel 2017 Mathematical Biosciences Institute at OSU

Modeling Microtubule-Based Transport In The Frog Egg Cell, Maria-Veronica Ciocanel

Annual Symposium on Biomathematics and Ecology: Education and Research

No abstract provided.


A Model Of Dengue Transmission With Wolbachia-Free And Wolbachia-Infected Mosquitoes, Iftikhar Ahmed 2017 Illinois State University

A Model Of Dengue Transmission With Wolbachia-Free And Wolbachia-Infected Mosquitoes, Iftikhar Ahmed

Annual Symposium on Biomathematics and Ecology: Education and Research

No abstract provided.


Modeling Voting Dynamics In A Two-Party System: Social Interaction And Media Consumption, Caleb Ignace 2017 Illinois State University

Modeling Voting Dynamics In A Two-Party System: Social Interaction And Media Consumption, Caleb Ignace

Annual Symposium on Biomathematics and Ecology: Education and Research

No abstract provided.


Circles, Gabriel Leiner 2017 University of Southern California

Circles, Gabriel Leiner

Gabriel Leiner

Original research of mine on motion that has been robustly modernized using the premise of increased functionality of a system that runs on a connected pattern such as a loop, circle, or any other shape with a common start and end point. Some really interesting ideas are coded using nodes, random number generators, and simulations. In reality these ideas have many applications, though specifically this research models vehicle travel, and references some cities that mimic some of these ideas.


Data Predictive Control Using Regression Trees And Ensemble Learning, Achin Jain, Francesco Smarra, Rahul Mangharam 2017 University of Pennsylvania

Data Predictive Control Using Regression Trees And Ensemble Learning, Achin Jain, Francesco Smarra, Rahul Mangharam

Real-Time and Embedded Systems Lab (mLAB)

Decisions on how to best operate large complex plants such as natural gas processing, oil refineries, and energy efficient buildings are becoming ever so complex that model-based predictive control (MPC) algorithms must play an important role. However, a key factor prohibiting the widespread adoption of MPC, is the cost, time, and effort associated with learning first-principles dynamical models of the underlying physical system. An alternative approach is to employ learning algorithms to build black-box models which rely only on real-time data from the sensors. Machine learning is widely used for regression and classification, but thus far data-driven models have not ...


Modelling Walleye Population And Its Cannibalism Effect, Quan Zhou 2017 The University of Western Ontario

Modelling Walleye Population And Its Cannibalism Effect, Quan Zhou

Electronic Thesis and Dissertation Repository

Walleye is a very common recreational fish in Canada with a strong cannibalism tendency, such that walleyes with larger sizes will consume their smaller counterparts when food sources are limited or a surplus of adults is present. Cannibalism may be a factor promoting population oscillation. As fish reach a certain age or biological stage (i.e. biological maturity), the number of fish achieving that stage is known as fish recruitment. The objective of this thesis is to model the walleye population with its recruitment and cannibalism effect. A matrix population model has been introduced to characterize the walleye population into ...


Designing A Finite-Time Mixer: Optimizing Stirring For Two-Dimensional Maps, James Meiss, Rebecca Mitchell 2017 University of Colorado Boulder

Designing A Finite-Time Mixer: Optimizing Stirring For Two-Dimensional Maps, James Meiss, Rebecca Mitchell

Applied Mathematics Faculty Contributions

Mixing of a passive scalar in a fluid flow results from a two part process in which large gradients are first created by advection and then smoothed by diffusion. We investigate methods of designing efficient stirrers to optimize mixing of a passive scalar in a two-dimensional, nonautonomous, incom- pressible flow over a finite-time interval. The flow is modeled by a sequence of area-preserving maps whose parameters change in time, defining a mixing protocol. Stirring efficiency is measured by a negative Sobolev seminorm; its decrease implies creation of fine-scale structure. A Perron–Frobenius operator is used to numerically advect the scalar ...


On Honey Bee Colony Dynamics And Disease Transmission, Matthew I. Betti 2017 The University of Western Ontario

On Honey Bee Colony Dynamics And Disease Transmission, Matthew I. Betti

Electronic Thesis and Dissertation Repository

The work herein falls under the umbrella of mathematical modeling of disease transmission. The majority of this document focuses on the extent to which infection undermines the strength of a honey bee colony. These studies extend from simple mass-action ordinary differential equations models, to continuous age-structured partial differential equation models and finally a detailed agent-based model which accounts for vector transmission of infection between bees as well as a host of other influences and stressors on honey bee colony dynamics. These models offer a series of predictions relevant to the fate of honey bee colonies in the presence of disease ...


Modeling Economic Systems As Locally-Constructive Sequential Games, Leigh Tesfatsion 2017 Iowa State University

Modeling Economic Systems As Locally-Constructive Sequential Games, Leigh Tesfatsion

Economics Working Papers

Real-world economies are open-ended dynamic systems consisting of heterogeneous interacting participants. Human participants are decision-makers who strategically take into account the past actions and potential future actions of other participants. All participants are forced to be locally constructive, meaning their actions at any given time must be based on their local states; and participant actions at any given time affect future local states. Taken together, these properties imply real-world economies are locally-constructive sequential games. This study discusses a modeling approach, agent-based computational economics (ACE), that permits researchers to study economic systems from this point of view. ACE modeling principles and ...


Noisy Neural Oscillators With Intrinsic And Network Heterogeneity, Kyle P. Wendling, Cheng Ly 2017 Virginia Commonwealth University

Noisy Neural Oscillators With Intrinsic And Network Heterogeneity, Kyle P. Wendling, Cheng Ly

Biology and Medicine Through Mathematics Conference

No abstract provided.


Comparison Of The Regulatory Dynamics Of Related Small Gene Regulatory Networks That Control The Response To Cold Shock In Saccharomyces Cerevisiae, Natalie Williams 2017 Loyola Marymount University

Comparison Of The Regulatory Dynamics Of Related Small Gene Regulatory Networks That Control The Response To Cold Shock In Saccharomyces Cerevisiae, Natalie Williams

Honors Thesis

The Dahlquist Lab investigates the global, transcriptional response of Sacchromyces cerevisiae, baker’s yeast, to the environmental stress of cold shock, using DNA microarrays for the wild type strain and strains deleted for a particular regulatory transcription factor. Gene regulatory networks (GRNs) consist of transcription factors (TF), genes, and the regulatory connections between them that control the resulting mRNA and protein expression levels. We use mathematical modeling to determine the dynamics of the GRN controlling the cold shock response to determine the relative influence of each transcription factor in the network. A family of GRNs has been derived from the ...


Hawking Radiation And Classical Tunneling: A Numerical Study, Dmitriy Zhigunov 2017 College of William and Mary

Hawking Radiation And Classical Tunneling: A Numerical Study, Dmitriy Zhigunov

Undergraduate Honors Theses

Unruh [1] demonstrated that black holes have an analogy in acoustics. Under this analogy the acoustic event horizon is defined by the set of points in which the local background flow exceeds the local sound speed. In past work [2], we demonstrated that under a white noise source, the acoustic event horizon will radiate at a thermal spectrum via a classical tunneling process. In this work, I summarize the theory presented in [2] and nondimensionalize it in order to reduce the dynamical equations to one parameter, the coupling coefficient η2. Since η2 is the sole parameter of the system, we ...


Plateau Potential Fluctuations And Intrinsic Membrane Noise, Daniel Scott Borrus 2017 College of William and Mary

Plateau Potential Fluctuations And Intrinsic Membrane Noise, Daniel Scott Borrus

Undergraduate Honors Theses

This thesis focuses on subthreshold membrane potential fluctuations in the plateau potentials of bistable neurons. Research involved with plateau potentials typically finds one of the resting membrane potentials to be more susceptible to voltage fluctuations. This difference in the amplitude of the membrane potential fluctuations is most often attributed to the voltage-dependent membrane conductance. Occasionally, however, the typically quieter resting membrane potential exhibits larger voltage fluctuations than the expected one. It has been proposed that this increased membrane potential noise is the result of the stochastic gating of the voltage-gated ion channels. In this thesis, we use a simple bistable ...


Application Of Symplectic Integration On A Dynamical System, William Frazier 2017 East Tennessee State University

Application Of Symplectic Integration On A Dynamical System, William Frazier

Electronic Theses and Dissertations

Molecular Dynamics (MD) is the numerical simulation of a large system of interacting molecules, and one of the key components of a MD simulation is the numerical estimation of the solutions to a system of nonlinear differential equations. Such systems are very sensitive to discretization and round-off error, and correspondingly, standard techniques such as Runge-Kutta methods can lead to poor results. However, MD systems are conservative, which means that we can use Hamiltonian mechanics and symplectic transformations (also known as canonical transformations) in analyzing and approximating solutions. This is standard in MD applications, leading to numerical techniques known as symplectic ...


Comparing Methods Of Measuring Chaos In The Symbolic Dynamics Of Strange Attractors, James J. Scully 2017 Georgia State University

Comparing Methods Of Measuring Chaos In The Symbolic Dynamics Of Strange Attractors, James J. Scully

Georgia State Undergraduate Research Conference

No abstract provided.


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