A Model of Optimal Interval for Anti-Mosquito Campaign Based on Stochastic Process
Mosquito control is very important, in particular, for tropical countries. The purpose of mosquito control is to decrease the number of mosquitos such that the mosquitos transmitted diseases can be reduced. However, mosquito control can be costly, thus there is a trade-off between the cost for mosqu...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-01-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/3/440 |
| _version_ | 1797486359488757760 |
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| author | Bingyin Lei Kaiye Gao Li Yang Shu Fang |
| author_facet | Bingyin Lei Kaiye Gao Li Yang Shu Fang |
| author_sort | Bingyin Lei |
| collection | DOAJ |
| description | Mosquito control is very important, in particular, for tropical countries. The purpose of mosquito control is to decrease the number of mosquitos such that the mosquitos transmitted diseases can be reduced. However, mosquito control can be costly, thus there is a trade-off between the cost for mosquito control and the cost for mosquitos transmitted diseases. A model is proposed based on renewal theory in this paper to describe the process of mosquitos’ growth, with consideration of the mosquitos transmitted diseases growth process and the corresponding diseases treatment cost. Through this model, the total mosquitos control cost of different strategies can be estimated. The optimal mosquito control strategy that minimizes the expected total cost is studied. A numerical example and corresponding sensitivity analyses are proposed to illustrate the applications. |
| first_indexed | 2024-03-09T23:32:04Z |
| format | Article |
| id | doaj.art-591b1cad7a7a4025822fcfc36cd6681f |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T23:32:04Z |
| publishDate | 2022-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-591b1cad7a7a4025822fcfc36cd6681f2023-11-23T17:07:32ZengMDPI AGMathematics2227-73902022-01-0110344010.3390/math10030440A Model of Optimal Interval for Anti-Mosquito Campaign Based on Stochastic ProcessBingyin Lei0Kaiye Gao1Li Yang2Shu Fang3School of Economics and Management, Beijing Information Science & Technology University, Beijing 100085, ChinaSchool of Economics and Management, Beijing Information Science & Technology University, Beijing 100085, ChinaSchool of Reliability and Systems Engineering, Beihang University, Beijing 100190, ChinaBeijing Emergency Management Bureau, Beijing 101100, ChinaMosquito control is very important, in particular, for tropical countries. The purpose of mosquito control is to decrease the number of mosquitos such that the mosquitos transmitted diseases can be reduced. However, mosquito control can be costly, thus there is a trade-off between the cost for mosquito control and the cost for mosquitos transmitted diseases. A model is proposed based on renewal theory in this paper to describe the process of mosquitos’ growth, with consideration of the mosquitos transmitted diseases growth process and the corresponding diseases treatment cost. Through this model, the total mosquitos control cost of different strategies can be estimated. The optimal mosquito control strategy that minimizes the expected total cost is studied. A numerical example and corresponding sensitivity analyses are proposed to illustrate the applications.https://www.mdpi.com/2227-7390/10/3/440healthcaremosquito controldiseasesdenguecost minimizationinterval |
| spellingShingle | Bingyin Lei Kaiye Gao Li Yang Shu Fang A Model of Optimal Interval for Anti-Mosquito Campaign Based on Stochastic Process Mathematics healthcare mosquito control diseases dengue cost minimization interval |
| title | A Model of Optimal Interval for Anti-Mosquito Campaign Based on Stochastic Process |
| title_full | A Model of Optimal Interval for Anti-Mosquito Campaign Based on Stochastic Process |
| title_fullStr | A Model of Optimal Interval for Anti-Mosquito Campaign Based on Stochastic Process |
| title_full_unstemmed | A Model of Optimal Interval for Anti-Mosquito Campaign Based on Stochastic Process |
| title_short | A Model of Optimal Interval for Anti-Mosquito Campaign Based on Stochastic Process |
| title_sort | model of optimal interval for anti mosquito campaign based on stochastic process |
| topic | healthcare mosquito control diseases dengue cost minimization interval |
| url | https://www.mdpi.com/2227-7390/10/3/440 |
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