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DOI | 10.1142/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 |
ISSN | 1793-5245 |
EISSN | 1793-7159 |
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
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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 |
推荐引用方式 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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