Optimal control of the dengue dynamical transmission with vertical transmission

被引：0
作者：
Puntani Pongsumpun
I.-Ming Tang
Napasool Wongvanich
机构：
[1] King Mongkut’s Institute of Technology Ladkrabang,Department of Mathematics, Faculty of Science
[2] King Mongkut’s University of Technology Thonburi,Computational & Applied Science for Smart Innovation Cluster (CLASSIC), Department of Mathematics, Faculty of Science
[3] King Mongkut’s Institute of Technology Ladkrabang,Department of Instrumentation and Control Engineering, Faculty of Engineering
来源：
Advances in Difference Equations | / 2019卷
关键词：
Dengue fever; Optimal control; Vertical transmission; Epidemiological control;
D O I：
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摘要：
Dengue disease is found in tropical and subtropical regions around the world. Dengue virus is the cause of dengue fever, dengue hemorrhagic fever, and dengue shock syndrome. It consists of 4 serotypes: DEN-1, DEN-2, DEN-3, and DEN-4. There are two modes of transmission for dengue virus in mosquito: horizontal transmission and vertical transmission. The mosquito can be infected when it bites an infectious human by horizontal transmission, but there can also be vertical transmission through sexual contact with an infected mosquito. This research presents a control mechanism based on our previously developed dengue model with vertical transmission. The two policies, namely vaccination and insecticide administration (Policy 1) and isolation and insecticide administration (Policy 2) are considered. The use of Pontryargin’s maximum principle allowed necessary and optimality conditions, thus facilitating the optimal control to be developed. Numerical solutions of our control systems and the conclusions of our two policies are presented.
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