Browsing Department of Mathematics by Title
Now showing items 263-282 of 570
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Metering effects in population systems
(American Institute of Mathematical SciencesDepartment of Mathematics; Department of Curriculum and Instruction, University of Texas at Arlington, 2013)This study compares the effects of two types of metering (periodic resetting and periodic increments) on one variable in a dynamical system, relative to the behavior of the corresponding system with an equivalent level of ... -
A Method for Approximating the Solution Set of a System of Convex Inequalities by Polytopes
(University of Texas at ArlingtonDepartment of Mathematics, 1990-12)**Please note that the full text is embargoed** ABSTRACT: In this note a method for computing approximations by polytopes of the solution set [see pdf for notation] of a system of convex inequalities is presented. It ... -
A Method For Exact Solutions To Integrable Evolution Equations In 2+1 Dimensions
(Mathematics, 2014-09-17)A systematic method is developed to obtain solution formulas for certain explicit solutions to integrable nonlinear partial differential equations in two spatial variables and one time variable. The method utilizes an ... -
A method for inferring regional origins of neurodegeneration
(Oxford University Press, 2018-02-02)**Please note that the full text is embargoed** ABSTRACT: Alzheimer’s disease, the most common form of dementia, is characterized by the emergence and spread of senile plaques and neurofibrillary tangles, causing widespread ... -
The Method of Nonlinear Variation of Constants for Difference Equations
(University of Texas at ArlingtonDepartment of Mathematics, 1977-06)**Please note that the full text is embargoed** ABSTRACT: A method of nonlinear variation of constants for discrete difference equations is developed, which generalizes a well-known linear variation of constants formula. ... -
Method of Quasi-Upper and Lower Solutions in Abstract Cones
(University of Texas at ArlingtonDepartment of Mathematics, 1981-05)**Please note that the full text is embargoed** ABSTRACT: Let E be a real Banach space with ||•|| and let E* denote the dual of E. Let K C E be a cone, that is, a closed convex subset such that ^K C K for every ^ ≥ 0 and ... -
The Method of Quasilinearization and Positivity of Solutions in Abstract Cones
(University of Texas at ArlingtonDepartment of Mathematics, 1976-03)**Please note that the full text is embargoed** ABSTRACT: The method of quasilinearization was first introduced by Bellman (Ref. 1) and was developed further by Kalaba (Ref. 2). More detailed information concerning the ... -
The Method of Upper, Lower Solutions and Volterra Integral Equations
(University of Texas at ArlingtonDepartment of Mathematics, 1980-12)**Please note that the full text is embargoed** ABSTRACT: In employing the method of upper and lower solutions to dynamical systems, one is required to impose a certain monotone property on the given system [5,6,11] When ... -
Methodology for Testing Homogeneity of Variances
(University of Texas at ArlingtonDepartment of Mathematics, 1979-02)**Please note that the full text is embargoed** ABSTRACT: Suppose random samples are drawn from each of n populations with unknown means and variances. Developing procedures to test the claim that the population variances ... -
Minimal and Maximal Solutions of Nonlinear Boundary Value Problems
(University of Texas at ArlingtonDepartment of Mathematics, 1976-08)**Please note that the full text is embargoed** ABSTRACT: This paper is concerned with the construction of the minimal and the maximal solutions of the nonlinear boundary value problem [see PDF for equation] under ... -
Minimum Path Problems in Normed Spaces, Reflection and Refraction
(University of Texas at ArlingtonDepartment of Mathematics, 1996)**Please note that the full text is embargoed** ABSTRACT: The main minimum (or extremum) path problem in this paper deals with the "law of refraction" at a curve separating the plane into two parts with different norms. ... -
Minkowski's Inequality for Convex Curves
(University of Texas at Arlingtonhttp://hdl.handle.net/10106/2458, 2001-05)**Please note that the full text is embargoed** ABSTRACT: Minkowski's inequality is a relation between mixed areas of two curves and their respective areas. The concept of mixed area is defined. A variational technique is ... -
Model parameters and outbreak control for SARS
(Centers for Disease Control and PreventionMathematics Department, University of Texas at Arlington, 2004-07)Control of the 2002–2003 severe acute respiratory syndrome (SARS) outbreak was based on rapid diagnosis coupled with effective patient isolation. We used uncertainty and sensitivity analysis of the basic reproductive ... -
Modeling an M/M/1 Queue with unreliable service and a working vacation
(2019-05-08)We define the new term ’unreliable service’ where the service itself is unreliable (i.e. may fail). We discuss how this differs from the current literature, and give examples showing just how common this phenomena is in ... -
Modeling colony collapse disorder in honeybees as a contagion
(American Institute of Mathematical SciencesDepartment of Mathematics, University of Texas at Arlington, 2014-12)Honeybee pollination accounts annually for over $14 billion in United States agriculture alone. Within the past decade there has been a mysterious mass die-off of honeybees, an estimated 10 million beehives and sometimes ... -
Modeling nosocomial transmission of rotavirus in pediatric wards
(Springer-VerlagDepartment of Mathematics and Curriculum & Instruction, University of Texas at Arlington, 2011)Nosocomial transmission of viral and bacterial infections is a major problem worldwide, affecting millions of patients (and causing hundreds of thousands of deaths) per year. Rotavirus infections affect most children ... -
Modeling Plant Virus Propagation and an Optimal Control
(2018-08-10)Plants are a food source for man and many species. They also are sources of medicines, fibers for clothes, and are essential for a healthy environment. But plants are subject to diseases many of which are caused by ... -
A Modeling Study In The Regulation Of Stress On Neuronal Plasticity
How stress can affect human cognitive functions has been a very popular topic for researchers from different fields including physiology, psychology, biology, neuroscience, and applied mathematics. Hypothalamic−pituitary−adrenal ... -
MODELING THE EFFECTS OF THE IMMUNE SYSTEM ON BONE FRACTURE HEALING
(2019-05-14)Bone fracture healing is a complex biological process that results in a full reconstruction of the bone. However, it is not always an easy and successful process. Indeed, in some unfavorable conditions, the bone fracture ... -
A Modified Greenberg Speed-flow Traffic Model
(University of Texas at ArlingtonDepartment of Mathematics, 2008)**Please note that the full text is embargoed** ABSTRACT: A modified Greenberg speed-flow model is proposed. We assume speed is a logarithmic function of free-flow speed, concentration and a minimum constant density. ...