The growth, spread, and mutation of internet phenomena: A study of memes

An internet memes is defined as “an image, video, piece of text, etc., typically humorous in nature, that is copied and spread rapidly by Internet users, often with slight variations” (Oxford Living Dictionary, 2018). Such units of information are spread rapidly by internet users, often for a relati...

Full description

Bibliographic Details
Main Authors: Adam Lonnberg, Pengcheng Xiao, Kathryn Wolfinger
Format: Article
Language:English
Published: Elsevier 2020-05-01
Series:Results in Applied Mathematics
Online Access:http://www.sciencedirect.com/science/article/pii/S2590037420300029
id doaj-55d55e66705f4b35a44d9bc59ebe4fb6
record_format Article
spelling doaj-55d55e66705f4b35a44d9bc59ebe4fb62020-11-25T03:31:15ZengElsevierResults in Applied Mathematics2590-03742020-05-016The growth, spread, and mutation of internet phenomena: A study of memesAdam Lonnberg0Pengcheng Xiao1Kathryn Wolfinger2School of Medicine, Indiana University, Indianapolis, IN 46202, USADepartment of Mathematics, Kennesaw State University, Marietta, GA 30060, USA; Corresponding author.Department of Physics, University of Colorado, Boulder, CO 80309, USAAn internet memes is defined as “an image, video, piece of text, etc., typically humorous in nature, that is copied and spread rapidly by Internet users, often with slight variations” (Oxford Living Dictionary, 2018). Such units of information are spread rapidly by internet users, often for a relatively short period of time. The modeling of this spread is of interest for a variety of reasons, especially since large amounts of information are spread via this method. In this study, we attempt to evaluate some previously-implemented models of memetic diffusion and improve upon them when possible. In particular, we implement an SIR-based system of stochastic differential equations. MSC: 41A05, 41A10, 65D05, 65D17, Keywords: Memes, SIR Model, Stochatic differential equationshttp://www.sciencedirect.com/science/article/pii/S2590037420300029
collection DOAJ
language English
format Article
sources DOAJ
author Adam Lonnberg
Pengcheng Xiao
Kathryn Wolfinger
spellingShingle Adam Lonnberg
Pengcheng Xiao
Kathryn Wolfinger
The growth, spread, and mutation of internet phenomena: A study of memes
Results in Applied Mathematics
author_facet Adam Lonnberg
Pengcheng Xiao
Kathryn Wolfinger
author_sort Adam Lonnberg
title The growth, spread, and mutation of internet phenomena: A study of memes
title_short The growth, spread, and mutation of internet phenomena: A study of memes
title_full The growth, spread, and mutation of internet phenomena: A study of memes
title_fullStr The growth, spread, and mutation of internet phenomena: A study of memes
title_full_unstemmed The growth, spread, and mutation of internet phenomena: A study of memes
title_sort growth, spread, and mutation of internet phenomena: a study of memes
publisher Elsevier
series Results in Applied Mathematics
issn 2590-0374
publishDate 2020-05-01
description An internet memes is defined as “an image, video, piece of text, etc., typically humorous in nature, that is copied and spread rapidly by Internet users, often with slight variations” (Oxford Living Dictionary, 2018). Such units of information are spread rapidly by internet users, often for a relatively short period of time. The modeling of this spread is of interest for a variety of reasons, especially since large amounts of information are spread via this method. In this study, we attempt to evaluate some previously-implemented models of memetic diffusion and improve upon them when possible. In particular, we implement an SIR-based system of stochastic differential equations. MSC: 41A05, 41A10, 65D05, 65D17, Keywords: Memes, SIR Model, Stochatic differential equations
url http://www.sciencedirect.com/science/article/pii/S2590037420300029
work_keys_str_mv AT adamlonnberg thegrowthspreadandmutationofinternetphenomenaastudyofmemes
AT pengchengxiao thegrowthspreadandmutationofinternetphenomenaastudyofmemes
AT kathrynwolfinger thegrowthspreadandmutationofinternetphenomenaastudyofmemes
AT adamlonnberg growthspreadandmutationofinternetphenomenaastudyofmemes
AT pengchengxiao growthspreadandmutationofinternetphenomenaastudyofmemes
AT kathrynwolfinger growthspreadandmutationofinternetphenomenaastudyofmemes
_version_ 1724572676677173248