Browsing Publications - DO NOT EDIT by Title
Now showing items 16-35 of 35
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Host switching vs. host sharing in overlapping sylvatic Trypanosoma cruzi transmission cycles
(Taylor & Francis OpenDepartment of Mathematics, University of Texas at Arlington, 2015-09)The principle of competitive exclusion is well established for multiple populations competing for the same resource, and simple models for multistrain infection exhibit it as well when cross-immunity precludes coinfections. ... -
The impact of vaccination and boinfection on HPV and cervical cancer
(American Institute of Mathematical SciencesMathematics Department, University of Texas at Arlington, 2009-09)Understanding the relationship between coinfection with multiple strains of human papillomavirus and cervical cancer may play a key role in vaccination strategies for the virus. In this article we formulate a model with ... -
Influence of environmental factors on college alcohol drinking patterns
(American Institute of Mathematical SciencesDepartment of Mathematics, University of Texas at Arlington, 2013)Alcohol abuse is a major problem, especially among students on and around college campuses. We use the mathematical framework of [16] and study the role of environmental factors on the long term dynamics of an alcohol ... -
Influence of vectors' risk-spreading strategies and environmental stochasticity on the epidemiology and evolution of vector-borne diseaes: the example of Chagas' disease
(Public Library of ScienceDepartment of Mathematics, University of Texas at Arlington, 2013)Insects are known to display strategies that spread the risk of encountering unfavorable conditions, thereby decreasing the extinction probability of genetic lineages in unpredictable environments. To what extent these ... -
The Mathematical and Theoretical Biology Institute - a model of mentorship through research
(American Instutute of Mathematical SciencesDepartment of Mathematics; Department of Curriculum and Instruction, University of Texas at Arlington, 2013)This article details the history, logistical operations, and design philosophy of the Mathematical and Theoretical Biology Institute (MTBI), a nationally recognized research program with an 18-year history of mentoring ... -
A metapopulation model for sylvatic T. cruzi transmission with vector migration
(American Institute of Mathematical ScienceDepartment of Mathematics, University of Texas at Arlington, 2014-06)This study presents a metapopulation model for the sylvatic transmission of Trypanosoma cruzi, the etiological agent of Chagas' disease, across multiple geographical regions and multiple overlapping host-vector ... -
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 ... -
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 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 ... -
Pintar el octaedro
(Sociedad Matematica MexicanaMathematics Department, University of Texas at Arlington, 2007-07) -
The role of adaptations in two-strain competition for sylvatic Trypanosoma cruzi transmission
(Taylor and Francis OnlineDepartment of Mathematics, University of Texas at Arlington, 2012-08)This study presents a continuous-time model for the sylvatic transmission dynamics of two strains of Trypanosoma cruzi enzootic in North America, in order to study the role that adaptations of each strain to distinct modes ... -
The role of the ratio of vector and host densities in the evolution of transmission modes in vector-borne diseases. The example of sylvatic Trypanosoma cruzi
(Department of Mathematics, University of Texas at Arlington, 2012)Pathogens may use different routes of transmission to maximize their spread among host populations. Theoretical and empirical work conducted on directly-transmitted diseases suggest that horizontal (i.e., through host ... -
SENDing MORE MONEY in any base
(Mathematical Association of AmericaDepartment of Mathematics, University of Texas at Arlington, 2006)One of the most significant conceptual jumps involved in algebra is the use of letters (and other symbols) to represent numbers. One way to get students used to this notion is via puzzles. This paper describes a ... -
Sharpness of saturation in harvesting and predation
(American Institute of Mathematical SciencesMathematics Department, University of Texas at Arlington, 2009-10)Harvesting and predation occur through contact processes in which the rate at which the managed (prey) population can be found depends on the population size, usually saturating at high densities. Many models incorporate ... -
A simple vaccination model with multiple endemic states
(ElsevierDepartment of Mathematics, University of Texas at Arlington, 2000)A simple two-dimensional SIS model with vaccination exhibits a backward bifurcation for some parameter values. A two-population version of the model leads to the consideration of vaccination policies in paired border towns. ... -
Sociological phenomena as multiple nonlinearities: MTBI's new metaphor for complex human interactions
(American Institute of Mathematical SciencesDepartment of Mathematics, University of Texas at Arlington, 2013)Mathematical models are well-established as metaphors for biological and epidemiological systems. The framework of epidemic modeling has also been applied to sociological phenomena driven by peer pressure, notably in two ... -
Transmission dynamics and underreporting of Kala-azar in the Indian State of Bihar
(Department of Mathematics, University of Texas at Arlington, 2010)"Kala-azar" (or Indian Visceral Leishmaniasis) is a vector-borne infectious dis- ease affecting communities in tropical and subtropical areas of the world. Bihar, a state in India, has one of the highest prevalence and ... -
Vaccination strategies and backward bifurcation in age-since-infection structured model
(ElsevierDepartment of Mathematics, University of Texas at Arlington, 2002)We consider models for a disease with acute and chronic infective stages, and variable infectivity and recovery rates, within the context of a vaccination campaign. Models for SIRS and SIS disease cycles exhibit backward ... -
Vector consumption and contact process saturation in sylvatic transmission of T. cruzi
(Taylor & FrancisDepartment of Mathematics, University of Texas at Arlington; Universidad de Colima, Mexico, 2006)Recent research in the transmission of the protozoan parasite Trypanosoma cruzi, some strains of which cause Chagas’ disease, suggests that consumption of vectors by sylvatic hosts such as raccoons may play a role in ...