University of New Mexico
Louisiana Tech University
Universidad de Cundinamarca
Frostburg State University
Marshall University
University of Pennsylvania
Western Kentucky University
Rose-Hulman Institute of Technology
University of Lynchburg
On The Spatial Modelling Of Biological Invasions,
2022
The University of Western Ontario
On The Spatial Modelling Of Biological Invasions, Tedi Ramaj
Electronic Thesis and Dissertation Repository
We investigate problems of biological spatial invasion through the use of spatial modelling. We begin by examining the spread of an invasive weed plant species through a forest by developing a system of partial differential equations (PDEs) involving an invasive weed and a competing native plant species. We find that extinction of the native plant species may be achieved by increasing the carrying capacity of the forest as well as the competition coefficient between the species. We also find that the boundary conditions exert long-term control on the biomass of the invasive weed and hence should be considered when implementing …
Solving Clostridioides Difficile: Mathematical Models Of Transmission And Control In Healthcare Settings,
2022
Lewis University
Solving Clostridioides Difficile: Mathematical Models Of Transmission And Control In Healthcare Settings, Cara Sulyok, Max Lewis, Laila Mahrat, Brittany Stephenson, Malen De La Fuente Arruabarrena, David Kovalev, Justyna Sliwinska
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Modularity And Boolean Network Decomposition,
2022
University of Florida
Modularity And Boolean Network Decomposition, Matthew Wheeler
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Canalization And Other Design Principles Of Gene Regulatory Networks,
2022
Illinois State University
Canalization And Other Design Principles Of Gene Regulatory Networks, Claus Kadelka
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Model-Free Identification Of Relevant Variables From Response Data,
2022
University of Dayton
Model-Free Identification Of Relevant Variables From Response Data, Alan Veliz-Cuba, David Murrugarra
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
On Analysis Of Effectiveness Controlling Covid-19 With Quarantine And Vaccination Compartments In Indonesia,
2022
Illinois State University
On Analysis Of Effectiveness Controlling Covid-19 With Quarantine And Vaccination Compartments In Indonesia, Prihantini Prihantini
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Compilación De Procesos Investigativos En Educación Matemática,
2022
Universidad de Cundinamarca
Compilación De Procesos Investigativos En Educación Matemática, Martha Lidia Barreto Moreno, Yeferson Castellanos Novoa, María Alejandra Mayorga Henao, Diana Marcela Contento Sarmiento, Jesús Antonio Villarraga Palomino, Andrés Alberto Gutiérrez Morales, Juan David Firigua Bejarano, Yineth Marleidy Parra Ubaque, Lady Johanna Silva Marín
Educación
En el libro Compilación de procesos de investigación en educación matemática, consta de cuatro capítulos donde se presentan los procesos desarrollados en el marco de proyectos de investigación a nivel de pregrado y postgrado en Educación.
El primer capítulo consiste en la sistematización de la acción docente desarrollada en el marco de los Talleres Itinerantes de Alfabetización Computacional en la provincia de Sumapaz, propuesta de innovación para implementar procesos didácticos que contribuyan al desarrollo del pensamiento matemático computacional en educación básica primaria rural.
El segundo capítulo contiene el proceso investigativo que dio continuidad al trabajo realizado en la Fase1, sobre …
Machine Learning To Predict Warhead Fragmentation In-Flight Behavior From Static Data,
2022
Embry-Riddle Aeronautical University
Machine Learning To Predict Warhead Fragmentation In-Flight Behavior From Static Data, Katharine Larsen
Doctoral Dissertations and Master's Theses
Accurate characterization of fragment fly-out properties from high-speed warhead detonations is essential for estimation of collateral damage and lethality for a given weapon. Real warhead dynamic detonation tests are rare, costly, and often unrealizable with current technology, leaving fragmentation experiments limited to static arena tests and numerical simulations. Stereoscopic imaging techniques can now provide static arena tests with time-dependent tracks of individual fragments, each with characteristics such as fragment IDs and their respective position vector. Simulation methods can account for the dynamic case but can exclude relevant dynamics experienced in real-life warhead detonations. This research leverages machine learning methodologies to …
On Cantor Sets Defined By Generalized Continued Fractions,
2022
College of the Canyons
On Cantor Sets Defined By Generalized Continued Fractions, Danielle Hedvig, Masha Gorodetski
Rose-Hulman Undergraduate Mathematics Journal
We study a special class of generalized continuous fractions, both in real and complex settings, and show that in many cases, the set of numbers that can be represented by a continued fraction for that class form a Cantor set. Specifically, we study generalized continued fractions with a fixed absolute value and a variable coefficient sign. We ask the same question in the complex setting, allowing the coefficient's argument to be a multiple of \pi/2. The numerical experiments we conducted showed that in these settings the set of numbers formed by such continued fractions is a Cantor set for large …
Dynamical Systems And Matching Symmetry In Beta-Expansions,
2022
California Polytechnic State University, San Luis Obispo
Dynamical Systems And Matching Symmetry In Beta-Expansions, Karl Zieber
Master's Theses
Symbolic dynamics, and in particular β-expansions, are a ubiquitous tool in studying more complicated dynamical systems. Applications include number theory, fractals, information theory, and data storage.
In this thesis we will explore the basics of dynamical systems with a special focus on topological dynamics. We then examine symbolic dynamics and β-transformations through the lens of sequence spaces. We discuss observations from recent literature about how matching (the property that the itinerary of 0 and 1 coincide after some number of iterations) is linked to when Tβ,⍺ generates a subshift of finite type. We prove the set of ⍺ in …
(R1882) Effects Of Viscosity, Oblateness, And Finite Straight Segment On The Stability Of The Equilibrium Points In The Rr3bp,
2022
Lady Shri Ram College for Women
(R1882) Effects Of Viscosity, Oblateness, And Finite Straight Segment On The Stability Of The Equilibrium Points In The Rr3bp, Bhavneet Kaur, Sumit Kumar, Rajiv Aggarwal
Applications and Applied Mathematics: An International Journal (AAM)
Associating the influences of viscosity and oblateness in the finite straight segment model of the Robe’s problem, the linear stability of the collinear and non-collinear equilibrium points for a small solid sphere m3 of density \rho3 are analyzed. This small solid sphere is moving inside the first primary m1 whose hydrostatic equilibrium figure is an oblate spheroid and it consists of an incompressible homogeneous fluid of density \rho1. The second primary m2 is a finite straight segment of length 2l. The existence of the equilibrium points is discussed after deriving the pertinent …
Universality And Synchronization In Complex Quadratic Networks (Cqns),
2022
State University of New York at New Paltz
Universality And Synchronization In Complex Quadratic Networks (Cqns), Anca R. Radulescu, Danae Evans
Biology and Medicine Through Mathematics Conference
No abstract provided.
Gene Drives And The Consequences Of Over-Suppression,
2022
Virginia Commonwealth University
Gene Drives And The Consequences Of Over-Suppression, Cole Butler
Biology and Medicine Through Mathematics Conference
No abstract provided.
Real-Time Interactive Simulation Of Large Bird Flocks: Toward Understanding Murmurations,
2022
Georgia Institute of Technology
Real-Time Interactive Simulation Of Large Bird Flocks: Toward Understanding Murmurations, Maxfield R. Comstock
Biology and Medicine Through Mathematics Conference
No abstract provided.
Dimension Theory Of Conformal Iterated Function Systems,
2022
University of Connecticut
Dimension Theory Of Conformal Iterated Function Systems, Sharon Sneha Spaulding
Honors Scholar Theses
This thesis is an expository investigation of the conformal iterated function system (CIFS) approach to fractals and their dimension theory. Conformal maps distort regions, subject to certain constraints, in a controlled way. Let $\mathcal{S} = (X, E, \{\phi_e\}_{e \in E})$ be an iterated function system where $X$ is a compact metric space, $E$ is a countable index set, and $\{\phi_e\}_{e \in E}$ is a family of injective and uniformly contracting maps. If the family of maps $\{\phi_e\}_{e \in E}$ is also conformal and satisfies the open set condition, then the distortion properties of conformal maps can be extended to the …
The Butterfly Effect Of Fractals,
2022
Murray State University
The Butterfly Effect Of Fractals, Cody Watkins
Honors College Theses
This thesis applies concepts in fractal geometry to the relatively new field of mathematics known as chaos theory, with emphasis on the underlying foundation of the field: the butterfly effect. We begin by reviewing concepts useful for an introduction to chaos theory by defining terms such as fractals, transformations, affine transformations, and contraction mappings, as well as proving and demonstrating the contraction mapping theorem. We also show that each fractal produced by the contraction mapping theorem is unique in its fractal dimension, another term we define. We then show and demonstrate iterated function systems and take a closer look at …
Finite Subdivision Rules For Matings Of Quadratic Thurston Maps With Few Postcritical Points,
2022
Bellarmine University
Finite Subdivision Rules For Matings Of Quadratic Thurston Maps With Few Postcritical Points, Jeremiah Zonio
Undergraduate Theses
A finite subdivision rule is set of instructions for repeatedly subdividing a partitioning of a given space. This turns out to be incredibly useful when attempting to describe a process known as polynomial mating. Polynomial mating is a way of gluing together two spaces which two polynomials may act upon such that the glued borders of each space respects the dynamics described by each polynomial. For matings of Misiurewicz polynomials, the spaces we are gluing together are 1-dimensional and are thus all border. This poses a conceptual difficulty which this paper attempts to resolve by using finite subdivison rules to …
Dynamics Of Mutualism In A Two Prey, One Predator System With Variable Carrying Capacity,
2022
University of North Florida
Dynamics Of Mutualism In A Two Prey, One Predator System With Variable Carrying Capacity, Randy Huy Lee
UNF Graduate Theses and Dissertations
We considered the livelihood of two prey species in the presence of a predator species. To understand this phenomenon, we developed and analyzed two mathematical models considering indirect and direct mutualism of two prey species and the influence of one predator species. Both types of mutualism are represented by an increase in the preys' carrying capacities based on direct and indirect interactions between the prey. Because of mutualism, as the death rate parameter of the predator species goes through some critical value, the model shows transcritical bifurcation. Additionally, in the direct mutualism model, as the death rate parameter decreases to …
An Integrated Computational Pipeline To Construct Patient-Specific Cancer Models,
2022
University of Kentucky
An Integrated Computational Pipeline To Construct Patient-Specific Cancer Models, Daniel Plaugher
Theses and Dissertations--Mathematics
Precision oncology largely involves tumor genomics to guide therapy protocols. Yet, it is well known that many commonly mutated genes cannot be easily targeted. Even when genes can be targeted, resistance to therapy is quite common. A rising field with promising results is that of mathematical biology, where in silico models are often used for the discovery of general principles and novel hypotheses that can guide the development of new treatments. A major goal is that eventually in silico models will accurately predict clinically relevant endpoints and find optimal control interventions to stop (or reverse) disease progression. Thus, it is …
Exo-Sir: An Epidemiological Model To Analyze The Impact Of Exogenous Spread Of Infection,
2022
LNMIIT, India
Exo-Sir: An Epidemiological Model To Analyze The Impact Of Exogenous Spread Of Infection, Nirmal Kumar Sivaraman, Manas Gaur, Shivansh Baijal, Sakthi Balan Muthiah, Amit Sheth
Publications
Epidemics like Covid-19 and Ebola have impacted people's lives significantly. The impact of mobility of people across the countries or states in the spread of epidemics has been significant. The spread of disease due to factors local to the population under consideration is termed the endogenous spread. The spread due to external factors like migration, mobility, etc. is called the exogenous spread. In this paper, we introduce the Exo-SIR model, an extension of the popular SIR model and a few variants of the model. The novelty in our model is that it captures both the exogenous and endogenous spread of …
