Optimal control problems of mosquito-borne disease subject to changes in feeding behavior of Aedes mosquitoes

M. A. Masud; Byul Nim Kim; Yongkuk Kim

doi:10.1016/j.biosystems.2017.03.005

Optimal control problems of mosquito-borne disease subject to changes in feeding behavior of Aedes mosquitoes

M. A. Masud, Byul Nim Kim, Yongkuk Kim

Kyungpook National University

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

11 Scopus citations

Abstract

Dengue viruses (DENV) are transmitted to humans by the bite of Aedes mosquitoes. It is known that dengue virus infection in Aedes aegypti female mosquitoes makes a change in the feeding behavior of the infected mosquitoes. In this study, using the forces of infection, we incorporated the effect of changes in the feeding behavior of mosquitoes into the standard vector-borne SIR-SI model. It has been proved that both a single-strain model and a two-strain model exhibit forward bifurcations. Moreover, optimal implementations of control with specific prevention measures for dengue transmission are analyzed. As a result we found that more implementation of controls on the secondary infection of humans should be considered for the behavioral changes in feeding of the infected mosquitoes.

Original language	English
Pages (from-to)	23-39
Number of pages	17
Journal	BioSystems
Volume	156-157
DOIs	https://doi.org/10.1016/j.biosystems.2017.03.005
State	Published - 1 Jun 2017

Keywords

Basic reproductive number
Bifurcation
Force of infection
Locomotor activity

UN SDGs

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

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10.1016/j.biosystems.2017.03.005

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title = "Optimal control problems of mosquito-borne disease subject to changes in feeding behavior of Aedes mosquitoes",

abstract = "Dengue viruses (DENV) are transmitted to humans by the bite of Aedes mosquitoes. It is known that dengue virus infection in Aedes aegypti female mosquitoes makes a change in the feeding behavior of the infected mosquitoes. In this study, using the forces of infection, we incorporated the effect of changes in the feeding behavior of mosquitoes into the standard vector-borne SIR-SI model. It has been proved that both a single-strain model and a two-strain model exhibit forward bifurcations. Moreover, optimal implementations of control with specific prevention measures for dengue transmission are analyzed. As a result we found that more implementation of controls on the secondary infection of humans should be considered for the behavioral changes in feeding of the infected mosquitoes.",

keywords = "Basic reproductive number, Bifurcation, Force of infection, Locomotor activity",

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AU - Masud, M. A.

AU - Kim, Byul Nim

AU - Kim, Yongkuk

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N2 - Dengue viruses (DENV) are transmitted to humans by the bite of Aedes mosquitoes. It is known that dengue virus infection in Aedes aegypti female mosquitoes makes a change in the feeding behavior of the infected mosquitoes. In this study, using the forces of infection, we incorporated the effect of changes in the feeding behavior of mosquitoes into the standard vector-borne SIR-SI model. It has been proved that both a single-strain model and a two-strain model exhibit forward bifurcations. Moreover, optimal implementations of control with specific prevention measures for dengue transmission are analyzed. As a result we found that more implementation of controls on the secondary infection of humans should be considered for the behavioral changes in feeding of the infected mosquitoes.

AB - Dengue viruses (DENV) are transmitted to humans by the bite of Aedes mosquitoes. It is known that dengue virus infection in Aedes aegypti female mosquitoes makes a change in the feeding behavior of the infected mosquitoes. In this study, using the forces of infection, we incorporated the effect of changes in the feeding behavior of mosquitoes into the standard vector-borne SIR-SI model. It has been proved that both a single-strain model and a two-strain model exhibit forward bifurcations. Moreover, optimal implementations of control with specific prevention measures for dengue transmission are analyzed. As a result we found that more implementation of controls on the secondary infection of humans should be considered for the behavioral changes in feeding of the infected mosquitoes.

KW - Basic reproductive number

KW - Bifurcation

KW - Force of infection

KW - Locomotor activity

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Optimal control problems of mosquito-borne disease subject to changes in feeding behavior of Aedes mosquitoes

Abstract

Keywords

UN SDGs

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