Modelling social dynamics of a structured population

  • Giorgio Busoni

    Universita di Firenze, Italy
  • Antonio Fasano

    Università di Firenze, Italy
  • Alberto Mancini

    Università degli Studi di Firenze, Italy
  • Mario Primicerio

    Universita di Firenze, Italy


We present a model for the dynamics of a population where the age distribution and the social structure are taken into account. This results in an integro-differential equation in which the kernel of the integral term may depend on a functional of the solution itself. We prove the well posedness of the problem with some regularity properties of the solution. Then, we consider some special cases and provide some simulations.

Cite this article

Giorgio Busoni, Antonio Fasano, Alberto Mancini, Mario Primicerio, Modelling social dynamics of a structured population. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 22 (2011), no. 3, pp. 365–385

DOI 10.4171/RLM/605