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DOI10.1142/S1793524523501061
Threshold dynamics of a reaction-advection-diffusion waterborne disease model with seasonality and human behavior change
Wang, Wei; Wang, Xiaotong; Fan, Xiaoting
发表日期2024
ISSN1793-5245
EISSN1793-7159
英文摘要To investigate the effects of environmental pollution and human behavior change on waterborne diseases, we propose a reaction-advection-diffusion waterborne disease model with a general boundary condition, which incorporates human hosts and reservoir aquatic of pathogen. We identify the basic reproduction number Script capital R-0 and discuss its asymptotic properties. We prove its threshold role: if Script capital R-0 < 1, the disease-free periodic solution is globally attractive; if Script capital R-0 > 1, the model system is uniformly persistent; if Script capital R-0 = 1, the disease-free steady state is globally asymptotically stable without the advection term, in which the proof is quite challenging due to human behavior change.
英文关键词Waterborne diseases; environmental pollution; human behavior; basic reproduction number; threshold dynamics
语种英语
WOS研究方向Mathematical & Computational Biology
WOS类目Mathematical & Computational Biology
WOS记录号WOS:001141869700002
来源期刊INTERNATIONAL JOURNAL OF BIOMATHEMATICS
文献类型期刊论文
条目标识符http://gcip.llas.ac.cn/handle/2XKMVOVA/291358
作者单位Shandong University of Science & Technology
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GB/T 7714
Wang, Wei,Wang, Xiaotong,Fan, Xiaoting. Threshold dynamics of a reaction-advection-diffusion waterborne disease model with seasonality and human behavior change[J],2024.
APA Wang, Wei,Wang, Xiaotong,&Fan, Xiaoting.(2024).Threshold dynamics of a reaction-advection-diffusion waterborne disease model with seasonality and human behavior change.INTERNATIONAL JOURNAL OF BIOMATHEMATICS.
MLA Wang, Wei,et al."Threshold dynamics of a reaction-advection-diffusion waterborne disease model with seasonality and human behavior change".INTERNATIONAL JOURNAL OF BIOMATHEMATICS (2024).
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