Disease Spread in Coupled Populations: Minimizing Response Strategies Costs in Discrete Time Models
Social distancing, vaccination, and medical treatments have been extensively studied and widely used to control the spread of infectious diseases. However, it is still a difficult task for health administrators to determine the optimal combination of these strategies when confronting disease outbrea...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2013/681689 |
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| author | Geisel Alpízar Luis F. Gordillo |
| author_facet | Geisel Alpízar Luis F. Gordillo |
| author_sort | Geisel Alpízar |
| collection | DOAJ |
| description | Social distancing, vaccination, and medical treatments have been extensively studied and widely used to control the spread of infectious diseases. However, it is still a difficult task for health administrators to determine the optimal combination of these strategies when confronting disease outbreaks with limited resources, especially in the case of interconnected populations, where the flow of individuals is usually restricted with the hope of avoiding further contamination. We consider two coupled populations and examine them independently under two variants of well-known discrete time disease models. In both examples we compute approximations for the control levels necessary to minimize costs and quickly contain outbreaks. The main technique used is simulated annealing, a stochastic search optimization tool that, in contrast with traditional analytical methods, allows easy implementation to any number of patches with different kinds of couplings and internal dynamics. |
| format | Article |
| id | doaj-art-c685cb0707df48c5a292a82a75c9c5cf |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-c685cb0707df48c5a292a82a75c9c5cf2025-02-03T01:33:28ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2013-01-01201310.1155/2013/681689681689Disease Spread in Coupled Populations: Minimizing Response Strategies Costs in Discrete Time ModelsGeisel Alpízar0Luis F. Gordillo1Departamento de Matemáticas, Instituto Tecnológico de Costa Rica, Cartago 30101, Costa RicaDepartment of Mathematics and Statistics, Utah State University, Logan, UT 84322, USASocial distancing, vaccination, and medical treatments have been extensively studied and widely used to control the spread of infectious diseases. However, it is still a difficult task for health administrators to determine the optimal combination of these strategies when confronting disease outbreaks with limited resources, especially in the case of interconnected populations, where the flow of individuals is usually restricted with the hope of avoiding further contamination. We consider two coupled populations and examine them independently under two variants of well-known discrete time disease models. In both examples we compute approximations for the control levels necessary to minimize costs and quickly contain outbreaks. The main technique used is simulated annealing, a stochastic search optimization tool that, in contrast with traditional analytical methods, allows easy implementation to any number of patches with different kinds of couplings and internal dynamics.http://dx.doi.org/10.1155/2013/681689 |
| spellingShingle | Geisel Alpízar Luis F. Gordillo Disease Spread in Coupled Populations: Minimizing Response Strategies Costs in Discrete Time Models Discrete Dynamics in Nature and Society |
| title | Disease Spread in Coupled Populations: Minimizing Response Strategies Costs in Discrete Time Models |
| title_full | Disease Spread in Coupled Populations: Minimizing Response Strategies Costs in Discrete Time Models |
| title_fullStr | Disease Spread in Coupled Populations: Minimizing Response Strategies Costs in Discrete Time Models |
| title_full_unstemmed | Disease Spread in Coupled Populations: Minimizing Response Strategies Costs in Discrete Time Models |
| title_short | Disease Spread in Coupled Populations: Minimizing Response Strategies Costs in Discrete Time Models |
| title_sort | disease spread in coupled populations minimizing response strategies costs in discrete time models |
| url | http://dx.doi.org/10.1155/2013/681689 |
| work_keys_str_mv | AT geiselalpizar diseasespreadincoupledpopulationsminimizingresponsestrategiescostsindiscretetimemodels AT luisfgordillo diseasespreadincoupledpopulationsminimizingresponsestrategiescostsindiscretetimemodels |