Now showing items 1-20 of 35

    • Agent-based mathematical modeling as a tool for estimating T. cruzi vector-host contact rates 

      Kribs, Christopher; Young, Kamuela E.; Mubayi, Anuj (ElsevierDepartment of Mathematics, University of Texas at Arlington, 2015-11)
      **Please note that the full text is embargoed** ABSTRACT: The parasite Trypanosoma cruzi, spread by triatomine vectors, affects over 100 mammalian species throughout the Americas, including humans, in whom it causes Chagas’ ...
    • 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 ...
    • Am I too fat? Bulimia as an epidemic 

      Kribs, Christopher; Gonzalez, Beverly; Huerta-Sanchez, Emilia; Ortiz-Nieves, Angela; Vazquez-Alvarez, Terannie (ElsevierDepartment of Mathematics, University of Texas at Arlington, 2003)
      For at least the past ten years, eating disorders have had a major impact in the physical and mental health of women, particularly young women. Anorexia and bulimia nervosa are closely linked eating disorders. Anorexia ...
    • 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 ...
    • The convergence of difference boxes 

      Kribs, Christopher; Behn, Antonio; Ponomarenko, Vadim (Mathematical Association of AmericaDepartment of Mathematics, University of Texas at Arlington, 2005)
      We consider an elementary mathematical puzzle known as a "difference box" in terms of a discrete map from R⁴ to R⁴ or , canonically, from a subset of the first R² into itself. We identify the map's unique canonical fixed ...
    • 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 education, vaccination and treatment on HIV transmission in homosexuals with genetic heterogeneity 

      Kribs, Christopher; Del Valle, Sara; Morales Evangelista, Arlene; Velasco, Maria Cristina; Hsu Schmitz, Shu-Fang (Department of Mathematics, University of Texas at Arlington, 2004)
      Genetic studies report the existence of a mutant allele Δ32 of CC R5 chemokine receptor gene at high allele frequencies ( 10%) in Caucasian populations. The presence of the allele is believed to provide partial or full ...
    • 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 ...
    • Evaluating treatment of Hepatitis C for hemolytic anemia management 

      Kribs, Christopher; DebRoy, Swati; Mubayi, Anuj; Cardona-Melendez, Gloriell M.; Medina-Rios, Liana; Kang, MinJun; Diaz, Edgar (ElsevierDepartment of Mathematics, University of Texas at Arlington, 2010)
      The combination therapy of antiviral peg-interferon and ribavirin has evolved as one of the better treatments for Hepatitis-C. In spite of its success in controlling Hepatitis-C infection, it has also been associated with ...
    • 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)
    • Graphical analysis of evolutionary trade-off in sylvatic Trypanosoma cruzi transmission modes 

      Kribs, Christopher (ElsevierDepartment of Mathematics, University of Texas at Arlington, 2014-07)
      **Please note that the full text is embargoed** ABSTRACT: The notion of evolutionary trade-off (one attribute increasing at the expense of another) is central to the evolution of traits, well-studied especially in life-history ...
    • Host switching vs. host sharing in overlapping sylvatic Trypanosoma cruzi transmission cycles 

      Kribs, Christopher David; Mitchell, Christopher (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 

      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 ...
    • 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 ...
    • Influence of vectors' risk-spreading strategies and environmental stochasticity on the epidemiology and evolution of vector-borne diseaes: the example of Chagas' disease 

      Kribs, Christopher; Pelosse, Perrine; Ginoux, Marine; Rabinovich, Jorge E.; Gourbiere, Sebastien; Menu, Frederic (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 

      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 ...