Now showing items 1-5 of 5

    • 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 ...
    • 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. ...
    • Sociological phenomena as multiple nonlinearities: MTBI's new metaphor for complex human interactions 

      Kribs, Christopher (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 ...
    • 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 ...