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Stochastic optimal control for norovirus transmission dynamics by contaminated food and water |
| Anwarud Din and Yongjin Li(黎永锦)† |
| Department of Mathematics, Sun Yat-sen University, Guangzhou 510275, China |
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Abstract Norovirus is one of the most common causes of viral gastroenteritis in the world, causing significant morbidity, deaths, and medical costs. In this work, we look at stochastic modelling methodologies for norovirus transmission by water, human to human transmission and food. To begin, the proposed stochastic model is shown to have a single global positive solution. Second, we demonstrate adequate criteria for the existence of a unique ergodic stationary distribution $\mathfrak{R_s^0}>1$ by developing a Lyapunov function. Thirdly, we find sufficient criteria $\mathfrak{R_s}<1$ for disease extinction. Finally, two simulation examples are used to exemplify the analytical results. We employed optimal control theory and examined stochastic control problems to regulate the spread of the disease using some external measures. Additional graphical solutions have been produced to further verify the acquired analytical results. This research could give a solid theoretical foundation for understanding chronic communicable diseases around the world. Our approach also focuses on offering a way of generating Lyapunov functions that can be utilized to investigate the stationary distribution of epidemic models with nonlinear stochastic disturbances.
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Received: 24 June 2021
Revised: 08 September 2021
Accepted manuscript online: 14 October 2021
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PACS:
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02.50.Ey
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(Stochastic processes)
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02.50.Fz
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(Stochastic analysis)
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02.50.Ga
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(Markov processes)
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| Fund: Project supported by the Fundamental Research Funds for the Central Universities, Sun Yat-sen University (Grant No. 34000-31610293). |
Corresponding Authors:
Yongjin Li
E-mail: stslyj@mail.sysu.edu.cn
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Cite this article:
Anwarud Din and Yongjin Li(黎永锦) Stochastic optimal control for norovirus transmission dynamics by contaminated food and water 2022 Chin. Phys. B 31 020202
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