TY - JOUR
T1 - Diffusing wild type and sterile mosquitoes in an optimal control setting
AU - Fister, K. Renee
AU - McCarthy, Maeve L.
AU - Oppenheimer, Seth F.
N1 - Funding Information:
We acknowledge that Fister and McCarthy’s work on this project has been made possible through a grant from the National Science Foundation , DUE-1028125 .we thank Jerome Goddard of the Department of Biochemistry, Molecular Biology, Entomology, and Plant Pathology of Mississippi State University for useful conversations.
Funding Information:
We acknowledge that Fister and McCarthy's work on this project has been made possible through a grant from the National Science Foundation, DUE-1028125.we thank Jerome Goddard of the Department of Biochemistry, Molecular Biology, Entomology, and Plant Pathology of Mississippi State University for useful conversations.
Publisher Copyright:
© 2018 Elsevier Inc.
PY - 2018/8
Y1 - 2018/8
N2 - This paper develops an optimal control framework to investigate the introduction of sterile type mosquitoes to reduce the overal moquito population. As is well known, mosquitoes are vectors of disease. For instance the WHO lists, among other diseases, Malaria, Dengue Fever, Rift Valley Fever, Yellow Fever, Chikungunya Fever and Zika. [http://www.who.int/mediacentre/factsheets/fs387/en/] The goal is to establish the existence of a solution given an optimal sterilization protocol as well as to develop the corresponding optimal control representation to minimize the infiltrating mosquito population while minimizing fecundity and the number of sterile type mosquitoes introduced into the environment per unit time. This paper incorporates the diffusion of the mosquitoes into the controlled model and presents a number of numerical simulations.
AB - This paper develops an optimal control framework to investigate the introduction of sterile type mosquitoes to reduce the overal moquito population. As is well known, mosquitoes are vectors of disease. For instance the WHO lists, among other diseases, Malaria, Dengue Fever, Rift Valley Fever, Yellow Fever, Chikungunya Fever and Zika. [http://www.who.int/mediacentre/factsheets/fs387/en/] The goal is to establish the existence of a solution given an optimal sterilization protocol as well as to develop the corresponding optimal control representation to minimize the infiltrating mosquito population while minimizing fecundity and the number of sterile type mosquitoes introduced into the environment per unit time. This paper incorporates the diffusion of the mosquitoes into the controlled model and presents a number of numerical simulations.
KW - Optimal control
KW - Partial differential equations
KW - Sterile mosquitoes
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U2 - 10.1016/j.mbs.2018.05.015
DO - 10.1016/j.mbs.2018.05.015
M3 - Article
C2 - 29859194
AN - SCOPUS:85048721682
SN - 0025-5564
VL - 302
SP - 100
EP - 115
JO - Mathematical Biosciences
JF - Mathematical Biosciences
ER -