Modeling change in public sentiment with nonlocal reaction-diffusion equations

Autor:	Shomberg, Joseph L.
Rok vydání:	2021
Předmět:	Mathematics - Analysis of PDEs
Druh dokumentu:	Working Paper
Popis:	This is a brief "proof of concept" article that shows nonlocal diffusion is well suited to the study of pattern formation and the particular application of public sentiment. We use a nonlocal reaction-diffusion equation to model the evolution of public sentiment in a population that interacts with other individuals. We employ a pseudo-random convolution kernel as a symmetric matrix of lognormally distributed values. This kernel models the influence of individuals when interacting with others. Change in sentiment emerges and may converge to a polarized state. Other more complicated states occur whereby a mixed polarization emerges. Comment: Keywords: Nonlocal diffusion; pattern formation; public sentiment
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2105.03920 Zobrazit plný text záznamu View this record from Arxiv