Browsing Publications - DO NOT EDIT by Subject "Backward bifurcation"
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Community resilience in collaborative learning
(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
(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
(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
(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
(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 ...