Now showing items 1-20 of 35

    • A simple vaccination model with multiple endemic states 

      Kribs, Christopher; Velasco-Hernandez, Jorge X. (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. ...
    • Vaccination strategies and backward bifurcation in age-since-infection structured model 

      Kribs, Christopher; Martcheva, Maia (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 ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 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 ...
    • SENDing MORE MONEY in any base 

      Kribs, Christopher (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 ...
    • Vector consumption and contact process saturation in sylvatic transmission of T. cruzi 

      Kribs, Christopher (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 ...
    • Pintar el octaedro 

      Kribs, Christopher (Sociedad Matematica MexicanaMathematics Department, University of Texas at Arlington, 2007-07)
    • 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)
    • 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 ...
    • Sharpness of saturation in harvesting and predation 

      Kribs, Christopher (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 ...
    • Transmission dynamics and underreporting of Kala-azar in the Indian State of Bihar 

      Kribs, Christopher; Mubayi, Anuj; Castillo-Chavez, Carlos; Chowell, Gerardo; Ali Siddiqui, Niyamat; Kumar, Narendra; Das, Pradeep (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 ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 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 ...