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I investigate two models interacting agent systems: the first is motivated by the flocking and swarming behaviors in biological systems, while the second models opinion formation in social networks. In

I investigate two models interacting agent systems: the first is motivated by the flocking and swarming behaviors in biological systems, while the second models opinion formation in social networks. In each setting, I define natural notions of convergence (to a ``flock" and to a ``consensus'', respectively), and study the convergence properties of each in the limit as $t \rightarrow \infty$. Specifically, I provide sufficient conditions for the convergence of both of the models, and conduct numerical experiments to study the resulting solutions.

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Date Created
  • 2018
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  • Text
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    Note
    • Partial requirement for: M.A., Arizona State University, 2018
      Note type
      thesis
    • Includes bibliographical references (page 23)
      Note type
      bibliography
    • Field of study: Mathematics

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    by Ryan Theisen

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