Sociological phenomena as multiple nonlinearities: MTBI's new metaphor for complex human interactions
Mathematical models are well-established as metaphors for biological and epidemiological systems. The framework of epidemic modeling has also been applied to sociological phenomena driven by peer pressure, notably in two dozen dynamical systems research projects developed through the Mathematical a...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2013-07-01
|
| Series: | Mathematical Biosciences and Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2013.10.1587 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832590155206098944 |
|---|---|
| author | Christopher M. Kribs-Zaleta |
| author_facet | Christopher M. Kribs-Zaleta |
| author_sort | Christopher M. Kribs-Zaleta |
| collection | DOAJ |
| description | Mathematical models are well-established as metaphors for biological and epidemiological systems. The framework of epidemic modeling has also been applied to sociological phenomena driven by peer pressure, notably in two dozen dynamical systems research projects developed through the Mathematical and Theoretical Biology Institute, and popularized by authors such as Gladwell (2000). This article reviews these studies and their common structures, and identifies a new mathematical metaphor which uses multiple nonlinearities to describe the multiple thresholds governing the persistence of hierarchical phenomena, including the situation termed a ``backward bifurcation'' in mathematical epidemiology, where established phenomena can persist in circumstances under which the phenomena could not initially emerge. |
| format | Article |
| id | doaj-art-de0fa61fbd1146828bfc387f102c661e |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2013-07-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-de0fa61fbd1146828bfc387f102c661e2025-01-24T02:26:34ZengAIMS PressMathematical Biosciences and Engineering1551-00182013-07-01105&61587160710.3934/mbe.2013.10.1587Sociological phenomena as multiple nonlinearities: MTBI's new metaphor for complex human interactionsChristopher M. Kribs-Zaleta0Mathematics Department, University of Texas at Arlington, Box 19408, Arlington, TX 76019-0408Mathematical models are well-established as metaphors for biological and epidemiological systems. The framework of epidemic modeling has also been applied to sociological phenomena driven by peer pressure, notably in two dozen dynamical systems research projects developed through the Mathematical and Theoretical Biology Institute, and popularized by authors such as Gladwell (2000). This article reviews these studies and their common structures, and identifies a new mathematical metaphor which uses multiple nonlinearities to describe the multiple thresholds governing the persistence of hierarchical phenomena, including the situation termed a ``backward bifurcation'' in mathematical epidemiology, where established phenomena can persist in circumstances under which the phenomena could not initially emerge.https://www.aimspress.com/article/doi/10.3934/mbe.2013.10.1587metaphor.backward bifurcationdynamical systemsepidemicmultiple nonlinearities |
| spellingShingle | Christopher M. Kribs-Zaleta Sociological phenomena as multiple nonlinearities: MTBI's new metaphor for complex human interactions Mathematical Biosciences and Engineering metaphor. backward bifurcation dynamical systems epidemic multiple nonlinearities |
| title | Sociological phenomena as multiple nonlinearities: MTBI's new metaphor for complex human interactions |
| title_full | Sociological phenomena as multiple nonlinearities: MTBI's new metaphor for complex human interactions |
| title_fullStr | Sociological phenomena as multiple nonlinearities: MTBI's new metaphor for complex human interactions |
| title_full_unstemmed | Sociological phenomena as multiple nonlinearities: MTBI's new metaphor for complex human interactions |
| title_short | Sociological phenomena as multiple nonlinearities: MTBI's new metaphor for complex human interactions |
| title_sort | sociological phenomena as multiple nonlinearities mtbi s new metaphor for complex human interactions |
| topic | metaphor. backward bifurcation dynamical systems epidemic multiple nonlinearities |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2013.10.1587 |
| work_keys_str_mv | AT christophermkribszaleta sociologicalphenomenaasmultiplenonlinearitiesmtbisnewmetaphorforcomplexhumaninteractions |