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.
Modelling social dynamics of a structured population / G. BUSONI; A. FASANO; A. MANCINI; M. PRIMICERIO. - In: ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. RENDICONTI LINCEI. MATEMATICA E APPLICAZIONI. - ISSN 1720-0768. - STAMPA. - 22:(2011), pp. 1-21. [10.4171/RLM/605]
Modelling social dynamics of a structured population
FASANO, ANTONIO;MANCINI, ALBERTO;PRIMICERIO, MARIO
2011
Abstract
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.
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