Mathematical modelling, analysis and simulation of the spread of gangs in interacting youth and adult populations
Youth that live in public housing communities with high social and financial needs are at risk of getting involved in illegal drug trafficking gangs that are controlled by adults. This social disease spreads like an epidemic in these densely populated sectors and metropolitan area. In this work, a m...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Intercollegiate Biomathematics Alliance
2019-09-01
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| Series: | Letters in Biomathematics |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1080/23737867.2019.1656562 |
| _version_ | 1818306698690953216 |
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| author | M. Rivera-Castro P. Padmanabhan C. Caiseda P. Seshaiyer C. Boria-Guanill |
| author_facet | M. Rivera-Castro P. Padmanabhan C. Caiseda P. Seshaiyer C. Boria-Guanill |
| author_sort | M. Rivera-Castro |
| collection | DOAJ |
| description | Youth that live in public housing communities with high social and financial needs are at risk of getting involved in illegal drug trafficking gangs that are controlled by adults. This social disease spreads like an epidemic in these densely populated sectors and metropolitan area. In this work, a model based on SIR disease dynamics is used to study the spread of gangs in vulnerable youth and adult sub-populations. Three types of mixing patterns govern interaction between the groups: proportionate, preferred and like-with-like. This new model is analysed presenting formulations for the reproduction number, sensitivity analysis, and stability analysis for the like-with-like mixing. Insights gained from simulation results on the sensitivity of the model to parameters show the relevance of the activity parameter over the reproduction number when heterogeneous mixing is present. |
| first_indexed | 2024-12-13T06:46:37Z |
| format | Article |
| id | doaj.art-8add025de4ff4a5780b6b2ea5f15246e |
| institution | Directory Open Access Journal |
| issn | 2373-7867 |
| language | English |
| last_indexed | 2024-12-13T06:46:37Z |
| publishDate | 2019-09-01 |
| publisher | Intercollegiate Biomathematics Alliance |
| record_format | Article |
| series | Letters in Biomathematics |
| spelling | doaj.art-8add025de4ff4a5780b6b2ea5f15246e2022-12-21T23:56:15ZengIntercollegiate Biomathematics AllianceLetters in Biomathematics2373-78672019-09-010011910.1080/23737867.2019.16565621656562Mathematical modelling, analysis and simulation of the spread of gangs in interacting youth and adult populationsM. Rivera-Castro0P. Padmanabhan1C. Caiseda2P. Seshaiyer3C. Boria-Guanill4Department of Natural Sciences and Mathematics, InterAmerican University of Puerto RicoDietrich School of Arts and Sciences, University of PittsburghDepartment of Natural Sciences and Mathematics, InterAmerican University of Puerto RicoGeorge Mason UniversityDepartment of Natural Sciences and Mathematics, InterAmerican University of Puerto RicoYouth that live in public housing communities with high social and financial needs are at risk of getting involved in illegal drug trafficking gangs that are controlled by adults. This social disease spreads like an epidemic in these densely populated sectors and metropolitan area. In this work, a model based on SIR disease dynamics is used to study the spread of gangs in vulnerable youth and adult sub-populations. Three types of mixing patterns govern interaction between the groups: proportionate, preferred and like-with-like. This new model is analysed presenting formulations for the reproduction number, sensitivity analysis, and stability analysis for the like-with-like mixing. Insights gained from simulation results on the sensitivity of the model to parameters show the relevance of the activity parameter over the reproduction number when heterogeneous mixing is present.http://dx.doi.org/10.1080/23737867.2019.1656562Mixing patternscriminal gangreproduction numberstability analysisSIRmodelling and simulation |
| spellingShingle | M. Rivera-Castro P. Padmanabhan C. Caiseda P. Seshaiyer C. Boria-Guanill Mathematical modelling, analysis and simulation of the spread of gangs in interacting youth and adult populations Letters in Biomathematics Mixing patterns criminal gang reproduction number stability analysis SIR modelling and simulation |
| title | Mathematical modelling, analysis and simulation of the spread of gangs in interacting youth and adult populations |
| title_full | Mathematical modelling, analysis and simulation of the spread of gangs in interacting youth and adult populations |
| title_fullStr | Mathematical modelling, analysis and simulation of the spread of gangs in interacting youth and adult populations |
| title_full_unstemmed | Mathematical modelling, analysis and simulation of the spread of gangs in interacting youth and adult populations |
| title_short | Mathematical modelling, analysis and simulation of the spread of gangs in interacting youth and adult populations |
| title_sort | mathematical modelling analysis and simulation of the spread of gangs in interacting youth and adult populations |
| topic | Mixing patterns criminal gang reproduction number stability analysis SIR modelling and simulation |
| url | http://dx.doi.org/10.1080/23737867.2019.1656562 |
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