Modeling Complex Interactions

  • Haiyan Wang
  • Feng Wang
  • Kuai Xu
Part of the Surveys and Tutorials in the Applied Mathematical Sciences book series (STAMS, volume 7)


In this chapter we present a number of partial differential equation models to describe complex interactions among users in online social networks. We discuss an information diffusion model initiated from several sources and extend spatial cooperation systems for population dynamics to information diffusion where two or more pieces of information promote each other. We adopt the spatial Lotka–Volterra competition model to information diffusion and discuss its application in modeling the market share competition of smartphone operating systems. Finally, we extend epidemiological models to information diffusion where spatial arrangement is present.


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Authors and Affiliations

  • Haiyan Wang
    • 1
  • Feng Wang
    • 1
  • Kuai Xu
    • 1
  1. 1.School of Mathematical & Natural SciencesArizona State UniversityPhoenixUSA

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