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[00929] On the continuum limit of epidemic models on graphs

  • Session Time & Room : 3C (Aug.23, 13:20-15:00) @G710
  • Type : Contributed Talk
  • Abstract : We consider an epidemic model defined on graphs and study the asymptotic behavior of the solutions as the number of vertices in the graph diverges. By relying on the theory of (graphons) we provide a characterization of the limit and establish convergence results. We also present approximation results for both deterministic and random discretizations. The analysis applies to dense and sparse graphs, including power-law networks. Extensive numerical results illustrate and assess the analytical findings.
  • Classification : 35Q92, 05C99, 92D30, 65M22, 35R02
  • Format : Talk at Waseda University
  • Author(s) :
    • blanca ayuso de dios (universita milano-bicocca)
    • Simone Dovetta (Politecnico di Torino)
    • Laura Spinolo (IMATI-CNR, Pavia)