Opinion formation on evolving network: the DPA method applied to a nonlocal cross-diffusion PDE-ODE system

IF 4.6 Q2 MATERIALS SCIENCE, BIOMATERIALS

ACS Applied Bio Materials Pub Date : 2024-05-21 DOI:10.1017/s0956792524000093

Simone Fagioli, Gianluca Favre

引用次数: 0

Abstract

We study a system of nonlocal aggregation cross-diffusion PDEs that describe the evolution of opinion densities on a network. The PDEs are coupled with a system of ODEs that describe the time evolution of the agents on the network. Firstly, we apply the Deterministic Particle Approximation (DPA) method to the aforementioned system in order to prove the existence of solutions under suitable assumptions on the interactions between agents. Later on, we present an explicit model for opinion formation on an evolving network. The opinions evolve based on both the distance between the agents on the network and the ’attitude areas’, which depend on the distance between the agents’ opinions. The position of the agents on the network evolves based on the distance between the agents’ opinions. The goal is to study radicalisation, polarisation and fragmentation of the population while changing its open-mindedness and the radius of interaction.

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演化网络中的意见形成：应用于非局部交叉扩散 PDE-ODE 系统的 DPA 方法

我们研究了一个非局部聚集交叉扩散 PDEs 系统，该系统描述了网络上舆论密度的演变。该 PDEs 与描述网络上代理的时间演化的 ODEs 系统相耦合。首先，我们将确定性粒子逼近（DPA）方法应用于上述系统，以证明在代理之间相互作用的适当假设条件下，解的存在性。随后，我们提出了一个在不断演化的网络上形成意见的明确模型。意见的演变基于网络上代理之间的距离和 "态度区域"，而 "态度区域 "则取决于代理意见之间的距离。代理在网络中的位置根据代理意见之间的距离而变化。我们的目标是研究激进化、两极分化和人口分化，同时改变其思想开放程度和互动半径。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

ACS Applied Bio Materials Chemistry-Chemistry (all)

CiteScore

9.40

自引率

2.10%

发文量

464

期刊介绍： ACS Applied Bio Materials is an interdisciplinary journal publishing original research covering all aspects of biomaterials and biointerfaces including and beyond the traditional biosensing, biomedical and therapeutic applications. The journal is devoted to reports of new and original experimental and theoretical research of an applied nature that integrates knowledge in the areas of materials, engineering, physics, bioscience, and chemistry into important bio applications. The journal is specifically interested in work that addresses the relationship between structure and function and assesses the stability and degradation of materials under relevant environmental and biological conditions.