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. 365–385DOI 10.4171/RLM/605