abstract: 'In this work, we propose a quantitative model for the 2019 Chilean protests. We utilize public data for the consumer price index, the gross domestic product, and the employee and per capita income distributions as inputs for a nonlinear diffusion-reaction equation, the solutions to which provide an in-depth analysis of the population dynamics. Specifically, the per capita income distribution stands out as a solution to the extended Fisher-Kolmogorov equation. According to our results, the concavity of employee income distribution is a decisive input parameter and, in contrast to the distributions typically observed for Chile and other countries in Latin America, should ideally be non-negative. Based on the results of our model, we advocate for the implementation of social policies designed to stimulate social mobility by broadening the distribution of higher salaries.' affiliation: 'Curilef, S (Corresponding Author), Univ Catolica Norte, Dept Fis, Antofagasta, Chile. Curilef, Sergio; Gonzalez, Diego, Univ Catolica Norte, Dept Fis, Antofagasta, Chile. Gonzalez, Diego, Banco Itau Corpbanca, Santiago, Chile. Calderon, Carlos, Univ Catolica Norte, Escuela Psicol, Antofagasta, Chile.' article-number: e0256037 author: Curilef, Sergio and Gonzalez, Diego and Calderon, Carlos author-email: scurilef@ucn.cl author_list: - family: Curilef given: Sergio - family: Gonzalez given: Diego - family: Calderon given: Carlos da: '2023-09-28' doi: 10.1371/journal.pone.0256037 files: [] issn: 1932-6203 journal: PLOS ONE keywords-plus: NONLINEAR DIFFUSION; INCOME INEQUALITY; CONVECTION language: English number: '8' number-of-cited-references: '34' orcid-numbers: 'Gonzalez Diaz, Diego/0000-0002-8972-4341 Calderon Carvajal, Carlos/0000-0002-9237-3749 Curilef, Sergio/0000-0002-8318-3206' papis_id: a5b5f217ffd0a37d01f0fdf285c3d13f ref: Curilef2021analyzing2019 researcherid-numbers: 'Curilef, Sergio/O-8481-2015 Gonzalez Diaz, Diego/K-4457-2016 Calderon Carvajal, Carlos/O-6049-2015 ' times-cited: '4' title: 'Analyzing the 2019 Chilean social outbreak: Modelling Latin American economies' type: Article unique-id: WOS:000686033500058 usage-count-last-180-days: '1' usage-count-since-2013: '2' volume: '16' web-of-science-categories: Multidisciplinary Sciences year: '2021'