Now showing items 1-4 of 4

    • 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 ...
    • 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 ...
    • 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 ...