Article ; Online: Dynamics and optimal control of a stochastic Zika virus model with spatial diffusion.
Mathematical biosciences and engineering : MBE
2023 Volume 20, Issue 9, Page(s) 17520–17553
Abstract: Zika is an infectious disease with multiple transmission routes, which is related to severe congenital disabilities, especially microcephaly, and has attracted worldwide concern. This paper aims to study the dynamic behavior and optimal control of the ... ...
| Abstract | Zika is an infectious disease with multiple transmission routes, which is related to severe congenital disabilities, especially microcephaly, and has attracted worldwide concern. This paper aims to study the dynamic behavior and optimal control of the disease. First, we establish a stochastic reaction-diffusion model (SRDM) for Zika virus, including human-mosquito transmission, human-human sexual transmission, and vertical transmission of mosquitoes, and prove the existence, uniqueness, and boundedness of the global positive solution of the model. Then, we discuss the sufficient conditions for disease extinction and the existence of a stationary distribution of positive solutions. After that, three controls, i.e. personal protection, treatment of infected persons, and insecticides for spraying mosquitoes, are incorporated into the model and an optimal control problem of Zika is formulated to minimize the number of infected people, mosquitoes, and control cost. Finally, some numerical simulations are provided to explain and supplement the theoretical results obtained. |
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| MeSH term(s) | Animals ; Humans ; Zika Virus ; Zika Virus Infection/prevention & control ; Communicable Diseases ; Infectious Disease Transmission, Vertical ; Aedes |
| Language | English |
| Publishing date | 2023-10-18 |
| Publishing country | United States |
| Document type | Journal Article ; Research Support, Non-U.S. Gov't |
| ZDB-ID | 2265126-3 |
| ISSN | 1551-0018 ; 1551-0018 |
| ISSN (online) | 1551-0018 |
| ISSN | 1551-0018 |
| DOI | 10.3934/mbe.2023778 |
| Database | MEDical Literature Analysis and Retrieval System OnLINE |
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