Journal
MATHEMATICS AND COMPUTERS IN SIMULATION
Volume 195, Issue -, Pages 31-55Publisher
ELSEVIER
DOI: 10.1016/j.matcom.2021.12.021
Keywords
Vector-borne epidemic model; Dengue; Bifurcation; Optimal control
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Funding
- University Grants Commission, India
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The study proposes a biologically well-posed epidemic model to analyze the dynamics of dengue strain. It finds that severe dengue cases are more infectious and continuous mosquito removal significantly reduces the chances of infection. An optimal control problem is formulated, showing that effective non-pharmaceutical precautions and periodic mosquito removal decrease the infection level.
Dengue is a mosquito-borne viral disease where the species Aedes aegypti acts as the vector. In this work, we have proposed a biologically well-posed epidemic model to study the dynamics of dengue strain. It is observed that people infected with severe dengue are more infectious than people with mild symptoms in terms of disease transmission. Also, continuous removal of mosquitoes decreases the chances of becoming infected with Dengue significantly. In the later part, an optimal control problem is formulated where a lesser number of people become infected due to time-dependent people's awareness regarding taking precaution and mosquito removal measures. The numerical simulation shows that the transmission of the virus among mosquitoes becomes lowest when both the control policies are implemented. So, from the overall analysis, it is observed that maintaining effective non-pharmaceutical precautions at an early stage and removing mosquitoes from the system at certain time intervals decrease the infection level significantly in the environment by reducing the probability of becoming infected.(c) 2021 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.
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