Browsing Department of Mathematics by Author "Kribs, Christopher"

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    • Alternative transmission modes for Trypanosoma cruzi 

      Kribs, Christopher (American Institute of Mathematical SciencesMathematics Department, University of Texas at ArlingtonMathematical and Computational Modeling Sciences Center, Arizona State University, 2010-07)
      The parasite Trypanosoma cruzi, which causes Chagas’ disease, is typically transmitted through a cycle in which vectors become infected through bloodmeals on infected hosts and then infect other hosts through defecation at ...

    • ASSESSING THE IMPACT OF VACCINATION AND BEHAVIOR CHANGE ON OUTBREAKS OF EMERGING RESPIRATORY DISEASES 

      Alharbi, Mohammed Hameed; 0000-0002-3835-407X (2021-05-03)
      The purpose of this dissertation is to use mathematical models to evaluate the impact of characteristics of respiratory diseases like influenza and COVID-19 either alone or co-circulating and how might influenza vaccine ...

    • Community resilience in collaborative learning 

      Kribs, Christopher; Crisosto, Nicolas M.; Castillo-Chavez, Carlos; Wirkus, Stephen (American Institute of Mathematical SciencesMathematics Department, University of Texas at Arlington; Department of Curriculum and Instruction, University of Texas at Arlington; Laboratoire de Biometrie et Biologie Evolutive, UMR CNRS 5558 Universite Claude Bernard Lyon 1, France, 2010-07)
      This paper introduces a simplified dynamical systems framework for the study of the mechanisms behind the growth of cooperative learning in large communities. We begin from the simplifying assumption that individual-based ...

    • A cost-based comparison of quarantine strategies for new emerging diseases 

      Kribs, Christopher; Mubayi, Anuj; Martcheva, Maia; Castillo-Chavez, Carlos (American Institute of Mathematical SciencesMathematics Department, University of Texas at Arlington, 2010-07)
      A classical epidemiological framework is used to provide a preliminary cost analysis of the effects of quarantine and isolation on the dynamics of infectious diseases for which no treatment or immediate diagnosis tools are ...

    • A cross-institutional collaborative model 

      Kribs, Christopher; Quebec Fuentes, Sarah; Parker, Yolanda; Epperson, James; Jorgensen, Theresa; Mallam, Winifred; Gawlik, Christina; Eddy, Colleen (Rapid Intellect, 2011)
      In this duoethnography, a narrative framework is used to present the perspectives of members of a cross-institutional collaborative working group of mathematics education researchers. This article provides an example of ...

    • The effect of the HIV/AIDS epidemic on Africa's truck drivers 

      Kribs, Christopher; Lee, Melanie; Roman, Christine; Wiley, Shari; Hernandez-Suarez, Carlos M. (American Institute of Mathematical SciencesMathematics Department, University of Texas at Arlington, 2005-10)
      The AIDS epidemic is having a growing impact on the transport sector of the economy of sub-Saharan Africa, where long-distance truck drivers are at an increased risk of infection due to their frequent contacts with ...

    • Effects Of Vector Migration On Sylvatic Trypanosoma Cruzi Transmission 

      Crawford, Britnee A. (Mathematics, 2012-07-25)
      Vector-borne diseases have had a major impact on global health concerns since their discovery in the 1800's. A vector-borne disease is one transmitted to human or animal host via an invertebrate vector (usually an insect). ...

    • An epidemiological approach to the spread of political third parties 

      Kribs, Christopher; Romero, Daniel M.; Mubayi, Anuj; Orbe, Clara (American Insttitue of Mathematical SciencesMathematics Department, University of Texas at Arlington, 2011-05)
      Third political parties are influential in shaping American politics. In this work we study the spread of a third party ideology in a voting population where we assume that party members/activists are more influential in ...

    • Estimating contact process saturation in sylvatic transmission of Trypanosoma cruzi in the United States 

      Kribs, Christopher (Public Library of ScienceMathematics Department, University of Texas at Arlington, 2010-04)
      Although it has been known for nearly a century that strains of Trypanosoma cruzi, the etiological agent for Chagas' disease, are enzootic in the southern U.S., much remains unknown about the dynamics of its transmission ...

    • Exploring mathematical concepts in literature 

      Kribs, Christopher; Ruebel, Kim K. (Association for Middle Level EducationDepartment of Mathematics; Department of Curriculum and Instruction, University of Texas at Arlington, 2008)

    • Impact of domestic animals on prevalence of vector-borne diseases in humans 

      Zahid, MD Mondal Hasan; 0000-0002-1832-8974 (2020-06-05)
      Vector-borne infectious diseases are one of the leading problems for public health worldwide, particularly in underdeveloped and developing countries. These diseases infect humans through the bite of infected vectors. The ...

    • The impact of vaccination and boinfection on HPV and cervical cancer 

      Kribs, Christopher; Crawford, Britnee (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 ...

    • The Impact Of Vaccination And Multiple Types Of HPV On Cervical Cancer 

      Crawford, Britnee A. (Mathematics, 2008-09-17)
      Understanding the relationship between 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 two strains of ...

    • Influence of environmental factors on college alcohol drinking patterns 

      Kribs, Christopher; Bani, Ridouan; Hameed, Rasheed; Szymanowski, Steve; Greenwood, Priscilla; Mubayi, Anuj (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 ...

    • The Mathematical and Theoretical Biology Institute - a model of mentorship through research 

      Kribs, Christopher; Camacho, Erika T.; Wirkus, Stephen (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 ...

    • Mathematical Modeling of Scavengers and Zebras on the African Savanna with Disease Dynamics 

      Mackey, Crystal Dawn; 0000-0001-5360-6522 (2020-09-01)
      The purpose of this dissertation is to use mathematical models to see how anthrax in the zebra population in Etosha National Park (ENP) interacts with scavenger populations and disease dynamics. First, we study if scavengers ...

    • MATHEMATICAL MODELING OF ZIKA VIRUS TRANSMISSION AND MULTIPLE PATHOGEN INTERACTIONS 

      Olawoyin, Omomayowa (2019-05-01)
      The purpose of this dissertation is twofold: to deepen our understanding of the complex transmission routes of the Zika virus (ZIKV), and to study multiple pathogen interactions (specifically cocirculation of Zika and ...

    • Metering effects in population systems 

      Kribs, Christopher; Camacho, Erika T.; Wirkus, Stephen (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 

      Kribs, Christopher; Chowell, Gerardo; Castillo-Chavez, Carlos; Fenimore, Paul W.; Arriola, Leon; Hyman, James M. (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 ...

    • Optimal Control Methods for Chagas Disease 

      Mastrome, Francis (2018-12-10)
      Chagas disease is the world's most neglected tropical disease. Having a lack of cure makes the primary focus on the disease preventing it and controlling it. This study takes into account three different control measures: ...