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Dynamic analysis and optimal control of Zika virus transmission with immigration

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General Information Cached
Title
Dynamic analysis and optimal control of Zika virus transmission with immigration
Type
Article
Main Author
Fauzi Mohamed Yusof
Subject
Q Science (General)
ISSN
2473-6988
Language Code
eng
Bibliographic Details
Place of Production
Tanjung Malim
Publisher
Fakulti Sains dan Matematik
Year of publication
2023
Notes
AIMS Mathematics
Degree Type
Not related
Corporate Name
Universiti Pendidikan Sultan Idris

Abstract

In this paper, a type of Zika virus model with immigration is considered. Additionally based on the risk of infected immigrants, we propose a control measure of screening for immigrants and a three-measure control model of combined mosquito prevention and killing. The existence and stability of the equilibrium in the Zika virus model are analyzed. The necessary conditions for the existence of the optimal solution are given using Pontryagins maximum principle. We focused on testing screening of the immigrating population to ensure a reduction in the transmission of the virus. Models have demonstrated that in combination with routine mosquito control measures and the appropriate use of mosquitoicides, the transmission of Zika virus in the population can be effectively reduced. 2023 the Author(s), licensee AIMS Press.

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