Optimal control of insects through sterile insect release and habitat modification

K. Renee Fister; Maeve L. McCarthy; Seth F. Oppenheimer; Craig Collins

doi:10.1016/j.mbs.2013.05.008

Optimal control of insects through sterile insect release and habitat modification

K. Renee Fister, Maeve L. McCarthy, Seth F. Oppenheimer, Craig Collins

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

34 Scopus citations

Abstract

This paper develops an optimal control framework for an ordinary differential equation model to investigate the introduction of sterile mosquitoes to reduce the incidence of mosquito-borne diseases. Existence of a solution given an optimal strategy and the optimal control is determined in association with the negative effects of the disease on the population while minimizing the cost due to this control mechanism. Numerical simulations have shown the importance of effects of the bounds on the release of sterile mosquitoes and the bounds on the likelihood of egg maturation. The optimal strategy is to maximize the use of habitat modification or insecticide. A combination of techniques leads to a more rapid elimination of the wild mosquito population.

Original language	English (US)
Pages (from-to)	201-212
Number of pages	12
Journal	Mathematical Biosciences
Volume	244
Issue number	2
DOIs	https://doi.org/10.1016/j.mbs.2013.05.008
State	Published - Aug 2013
Externally published	Yes

Keywords

Optimal control
Ordinary differential equations
Sterile mosquitoes

ASJC Scopus subject areas

Statistics and Probability
Modeling and Simulation
Biochemistry, Genetics and Molecular Biology(all)
Immunology and Microbiology(all)
Agricultural and Biological Sciences(all)
Applied Mathematics

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10.1016/j.mbs.2013.05.008

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title = "Optimal control of insects through sterile insect release and habitat modification",

abstract = "This paper develops an optimal control framework for an ordinary differential equation model to investigate the introduction of sterile mosquitoes to reduce the incidence of mosquito-borne diseases. Existence of a solution given an optimal strategy and the optimal control is determined in association with the negative effects of the disease on the population while minimizing the cost due to this control mechanism. Numerical simulations have shown the importance of effects of the bounds on the release of sterile mosquitoes and the bounds on the likelihood of egg maturation. The optimal strategy is to maximize the use of habitat modification or insecticide. A combination of techniques leads to a more rapid elimination of the wild mosquito population.",

keywords = "Optimal control, Ordinary differential equations, Sterile mosquitoes",

author = "{Renee Fister}, K. and McCarthy, {Maeve L.} and Oppenheimer, {Seth F.} and Craig Collins",

note = "Funding Information: We acknowledge that part of this research has been made possible through a UBM grant from the National Science Foundation, DUE-1028125, and a Murray State University Presidential Research Fellowship. We acknowledge the assistance of Dr. Jerome Goddard from Mississippi State University for his expertise in entomology. Finally, we acknowledge the valuable comments of the referees. ",

year = "2013",

month = aug,

doi = "10.1016/j.mbs.2013.05.008",

language = "English (US)",

volume = "244",

pages = "201--212",

journal = "Mathematical Biosciences",

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T1 - Optimal control of insects through sterile insect release and habitat modification

AU - Renee Fister, K.

AU - McCarthy, Maeve L.

AU - Oppenheimer, Seth F.

AU - Collins, Craig

N1 - Funding Information: We acknowledge that part of this research has been made possible through a UBM grant from the National Science Foundation, DUE-1028125, and a Murray State University Presidential Research Fellowship. We acknowledge the assistance of Dr. Jerome Goddard from Mississippi State University for his expertise in entomology. Finally, we acknowledge the valuable comments of the referees.

PY - 2013/8

Y1 - 2013/8

N2 - This paper develops an optimal control framework for an ordinary differential equation model to investigate the introduction of sterile mosquitoes to reduce the incidence of mosquito-borne diseases. Existence of a solution given an optimal strategy and the optimal control is determined in association with the negative effects of the disease on the population while minimizing the cost due to this control mechanism. Numerical simulations have shown the importance of effects of the bounds on the release of sterile mosquitoes and the bounds on the likelihood of egg maturation. The optimal strategy is to maximize the use of habitat modification or insecticide. A combination of techniques leads to a more rapid elimination of the wild mosquito population.

AB - This paper develops an optimal control framework for an ordinary differential equation model to investigate the introduction of sterile mosquitoes to reduce the incidence of mosquito-borne diseases. Existence of a solution given an optimal strategy and the optimal control is determined in association with the negative effects of the disease on the population while minimizing the cost due to this control mechanism. Numerical simulations have shown the importance of effects of the bounds on the release of sterile mosquitoes and the bounds on the likelihood of egg maturation. The optimal strategy is to maximize the use of habitat modification or insecticide. A combination of techniques leads to a more rapid elimination of the wild mosquito population.

KW - Optimal control

KW - Ordinary differential equations

KW - Sterile mosquitoes

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VL - 244

SP - 201

EP - 212

JO - Mathematical Biosciences

JF - Mathematical Biosciences

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ER -

Optimal control of insects through sterile insect release and habitat modification

Abstract

Keywords

ASJC Scopus subject areas

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