Optimal Intervention Strategies for the Spread of Obesity
The present study considers a deterministic compartmental model for obesity dynamics. The model exhibits forward bifurcation at basic reproduction number, R0=1, that is; for R0<1, obesity is not sustained. However for R0>1 the model approaches a locally asymptotically stable endemic equilibriu...
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| Language: | English |
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Wiley
2015-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2015/217808 |
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| author | Chunyoung Oh Masud M A |
| author_facet | Chunyoung Oh Masud M A |
| author_sort | Chunyoung Oh |
| collection | DOAJ |
| description | The present study considers a deterministic compartmental model for obesity dynamics. The model exhibits forward bifurcation at basic reproduction number, R0=1, that is; for R0<1, obesity is not sustained. However for R0>1 the model approaches a locally asymptotically stable endemic equilibrium. To control this epidemic and reduce the obesity at the endemic equilibrium, we considered intervention strategies for the spread of overweight and obesity, where Pontryagin’s Maximum Principle is applied. The numerical technique was used to show that there are effective control strategies that include minimizing the social contact rate with the overweight and obese population and campaigning. Numerical results indicated the effects of the two controls (prevention and education/campaigning) to be different. In societies with lower obesity, the social contact rate with the overweight and obese population plays a more prominent role in spreading obesity than lack of educational programs/campaigns. However, for societies with very high obesity burden, education/campaigning proved to be highly effective strategies. Reducing the social contact rate can result in other results such as a depression and an invasion of their individual rights. The appropriate approach to obesity is needed to lower obese societies. |
| format | Article |
| id | doaj-art-8a365a01403c4551a581cac25ff76efb |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-8a365a01403c4551a581cac25ff76efb2025-02-03T06:10:59ZengWileyJournal of Applied Mathematics1110-757X1687-00422015-01-01201510.1155/2015/217808217808Optimal Intervention Strategies for the Spread of ObesityChunyoung Oh0Masud M A1Department of Mathematics Education, Chonnam National University, Gwangju 500-757, Republic of KoreaDepartment of Mathematics, Kyungpook National University, Daegu 702-701, Republic of KoreaThe present study considers a deterministic compartmental model for obesity dynamics. The model exhibits forward bifurcation at basic reproduction number, R0=1, that is; for R0<1, obesity is not sustained. However for R0>1 the model approaches a locally asymptotically stable endemic equilibrium. To control this epidemic and reduce the obesity at the endemic equilibrium, we considered intervention strategies for the spread of overweight and obesity, where Pontryagin’s Maximum Principle is applied. The numerical technique was used to show that there are effective control strategies that include minimizing the social contact rate with the overweight and obese population and campaigning. Numerical results indicated the effects of the two controls (prevention and education/campaigning) to be different. In societies with lower obesity, the social contact rate with the overweight and obese population plays a more prominent role in spreading obesity than lack of educational programs/campaigns. However, for societies with very high obesity burden, education/campaigning proved to be highly effective strategies. Reducing the social contact rate can result in other results such as a depression and an invasion of their individual rights. The appropriate approach to obesity is needed to lower obese societies.http://dx.doi.org/10.1155/2015/217808 |
| spellingShingle | Chunyoung Oh Masud M A Optimal Intervention Strategies for the Spread of Obesity Journal of Applied Mathematics |
| title | Optimal Intervention Strategies for the Spread of Obesity |
| title_full | Optimal Intervention Strategies for the Spread of Obesity |
| title_fullStr | Optimal Intervention Strategies for the Spread of Obesity |
| title_full_unstemmed | Optimal Intervention Strategies for the Spread of Obesity |
| title_short | Optimal Intervention Strategies for the Spread of Obesity |
| title_sort | optimal intervention strategies for the spread of obesity |
| url | http://dx.doi.org/10.1155/2015/217808 |
| work_keys_str_mv | AT chunyoungoh optimalinterventionstrategiesforthespreadofobesity AT masudma optimalinterventionstrategiesforthespreadofobesity |