Modeling the spread of bed bug infestation and optimal resource allocation for disinfestation
A patch-structured multigroup-like $SIS$ epidemiological model is proposed to study the spread of the common bed bug infestation.It is shown that the model exhibits global threshold dynamics with the basic reproduction number as the threshold parameter.Costs associated with the disinfestation pro...
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| Format: | Article |
| Language: | English |
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AIMS Press
2016-06-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2016025 |
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| _version_ | 1832590068522418176 |
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| author | Ali Gharouni Lin Wang |
| author_facet | Ali Gharouni Lin Wang |
| author_sort | Ali Gharouni |
| collection | DOAJ |
| description | A patch-structured multigroup-like $SIS$ epidemiological model is proposed to study the spread of the common bed bug infestation.It is shown that the model exhibits global threshold dynamics with the basic reproduction number as the threshold parameter.Costs associated with the disinfestation process are incorporated into setting up the optimization problems.Procedures are proposed and simulated for finding optimal resource allocation strategies to achieve the infestation free state.Our analysis and simulations provide useful insights on how to efficiently distribute the available exterminators among the infested patches for optimal disinfestation management. |
| format | Article |
| id | doaj-art-9b190808c76e4ff3b4064d817e44e22a |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2016-06-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-9b190808c76e4ff3b4064d817e44e22a2025-01-24T02:36:57ZengAIMS PressMathematical Biosciences and Engineering1551-00182016-06-0113596998010.3934/mbe.2016025Modeling the spread of bed bug infestation and optimal resource allocation for disinfestationAli Gharouni0Lin Wang1Department of Mathematics and Statistics, University of New Brunswick, Fredericton, NB, E3B 5A3Department of Mathematics and Statistics, University of New Brunswick, Fredericton, NB, E3B 5A3A patch-structured multigroup-like $SIS$ epidemiological model is proposed to study the spread of the common bed bug infestation.It is shown that the model exhibits global threshold dynamics with the basic reproduction number as the threshold parameter.Costs associated with the disinfestation process are incorporated into setting up the optimization problems.Procedures are proposed and simulated for finding optimal resource allocation strategies to achieve the infestation free state.Our analysis and simulations provide useful insights on how to efficiently distribute the available exterminators among the infested patches for optimal disinfestation management.https://www.aimspress.com/article/doi/10.3934/mbe.2016025bed bug infestationthreshold dynamicsoptimal resource allocationdisinfestation.$sis$ model |
| spellingShingle | Ali Gharouni Lin Wang Modeling the spread of bed bug infestation and optimal resource allocation for disinfestation Mathematical Biosciences and Engineering bed bug infestation threshold dynamics optimal resource allocation disinfestation. $sis$ model |
| title | Modeling the spread of bed bug infestation and optimal resource allocation for disinfestation |
| title_full | Modeling the spread of bed bug infestation and optimal resource allocation for disinfestation |
| title_fullStr | Modeling the spread of bed bug infestation and optimal resource allocation for disinfestation |
| title_full_unstemmed | Modeling the spread of bed bug infestation and optimal resource allocation for disinfestation |
| title_short | Modeling the spread of bed bug infestation and optimal resource allocation for disinfestation |
| title_sort | modeling the spread of bed bug infestation and optimal resource allocation for disinfestation |
| topic | bed bug infestation threshold dynamics optimal resource allocation disinfestation. $sis$ model |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2016025 |
| work_keys_str_mv | AT aligharouni modelingthespreadofbedbuginfestationandoptimalresourceallocationfordisinfestation AT linwang modelingthespreadofbedbuginfestationandoptimalresourceallocationfordisinfestation |