Optimal Control Strategy of Plasmodium vivax Malaria Transmission in Korea

Byul Nim Kim; Kyeongah Nah; Chaeshin Chu; Sang Uk Ryu; Yong Han Kang; Yongkuk Kim

doi:10.1016/j.phrp.2012.07.005

Optimal Control Strategy of Plasmodium vivax Malaria Transmission in Korea

Byul Nim Kim, Kyeongah Nah, Chaeshin Chu, Sang Uk Ryu, Yong Han Kang, Yongkuk Kim

Research output: Contribution to journal › Article › peer-review

22 Scopus citations

Abstract

Objective: To investigate the optimal control strategy for Plasmodium vivax malaria transmission in Korea. Methods: A Plasmodium vivax malaria transmission model with optimal control terms using a deterministic system of differential equations is presented, and analyzed mathematically and numerically. Results: If the cost of reducing the reproduction rate of the mosquito population is more than that of prevention measures to minimize mosquito-human contacts, the control of mosquito-human contacts needs to be taken for a longer time, comparing the other situations. More knowledge about the actual effectiveness and costs of control intervention measures would give more realistic control strategies. Conclusion: Mathematical model and numerical simulations suggest that the use of mosquito-reduction strategies is more effective than personal protection in some cases but not always.

Original language	English
Pages (from-to)	128-136
Number of pages	9
Journal	Osong Public Health and Research Perspectives
Volume	3
Issue number	3
DOIs	https://doi.org/10.1016/j.phrp.2012.07.005
State	Published - Sep 2012

Keywords

Epidemiological model
Malaria
Numerical simulation
Optimal control

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

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10.1016/j.phrp.2012.07.005

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title = "Optimal Control Strategy of Plasmodium vivax Malaria Transmission in Korea",

abstract = "Objective: To investigate the optimal control strategy for Plasmodium vivax malaria transmission in Korea. Methods: A Plasmodium vivax malaria transmission model with optimal control terms using a deterministic system of differential equations is presented, and analyzed mathematically and numerically. Results: If the cost of reducing the reproduction rate of the mosquito population is more than that of prevention measures to minimize mosquito-human contacts, the control of mosquito-human contacts needs to be taken for a longer time, comparing the other situations. More knowledge about the actual effectiveness and costs of control intervention measures would give more realistic control strategies. Conclusion: Mathematical model and numerical simulations suggest that the use of mosquito-reduction strategies is more effective than personal protection in some cases but not always.",

keywords = "Epidemiological model, Malaria, Numerical simulation, Optimal control",

author = "Kim, \{Byul Nim\} and Kyeongah Nah and Chaeshin Chu and Ryu, \{Sang Uk\} and Kang, \{Yong Han\} and Yongkuk Kim",

year = "2012",

month = sep,

doi = "10.1016/j.phrp.2012.07.005",

language = "English",

volume = "3",

pages = "128--136",

journal = "Osong Public Health and Research Perspectives",

issn = "2210-9099",

publisher = "Korea Centers for Disease Control and Prevention",

number = "3",

}

TY - JOUR

T1 - Optimal Control Strategy of Plasmodium vivax Malaria Transmission in Korea

AU - Kim, Byul Nim

AU - Nah, Kyeongah

AU - Chu, Chaeshin

AU - Ryu, Sang Uk

AU - Kang, Yong Han

AU - Kim, Yongkuk

PY - 2012/9

Y1 - 2012/9

N2 - Objective: To investigate the optimal control strategy for Plasmodium vivax malaria transmission in Korea. Methods: A Plasmodium vivax malaria transmission model with optimal control terms using a deterministic system of differential equations is presented, and analyzed mathematically and numerically. Results: If the cost of reducing the reproduction rate of the mosquito population is more than that of prevention measures to minimize mosquito-human contacts, the control of mosquito-human contacts needs to be taken for a longer time, comparing the other situations. More knowledge about the actual effectiveness and costs of control intervention measures would give more realistic control strategies. Conclusion: Mathematical model and numerical simulations suggest that the use of mosquito-reduction strategies is more effective than personal protection in some cases but not always.

AB - Objective: To investigate the optimal control strategy for Plasmodium vivax malaria transmission in Korea. Methods: A Plasmodium vivax malaria transmission model with optimal control terms using a deterministic system of differential equations is presented, and analyzed mathematically and numerically. Results: If the cost of reducing the reproduction rate of the mosquito population is more than that of prevention measures to minimize mosquito-human contacts, the control of mosquito-human contacts needs to be taken for a longer time, comparing the other situations. More knowledge about the actual effectiveness and costs of control intervention measures would give more realistic control strategies. Conclusion: Mathematical model and numerical simulations suggest that the use of mosquito-reduction strategies is more effective than personal protection in some cases but not always.

KW - Epidemiological model

KW - Malaria

KW - Numerical simulation

KW - Optimal control

UR - https://www.scopus.com/pages/publications/84866880508

U2 - 10.1016/j.phrp.2012.07.005

DO - 10.1016/j.phrp.2012.07.005

M3 - Article

AN - SCOPUS:84866880508

SN - 2210-9099

VL - 3

SP - 128

EP - 136

JO - Osong Public Health and Research Perspectives

JF - Osong Public Health and Research Perspectives

IS - 3

ER -

Optimal Control Strategy of Plasmodium vivax Malaria Transmission in Korea

Abstract

Keywords

UN SDGs

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