Analysis of a vector-borne disease model with vector-bias mechanism in advective heterogeneous environment
This study proposed and analyzed a vector-borne reaction–diffusion–advection model with vector-bias mechanism and heterogeneous parameters in one-dimensional habitat. The basic reproduction number R0{{\mathfrak{R}}}_{0} in connection with principal eigenvalue of elliptic eigenvalue problem is charac...
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| Format: | Article |
| Language: | English |
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De Gruyter
2024-10-01
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| Series: | Advances in Nonlinear Analysis |
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| Online Access: | https://doi.org/10.1515/anona-2024-0045 |
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| author | Liu Jiaxing Wang Jinliang |
| author_facet | Liu Jiaxing Wang Jinliang |
| author_sort | Liu Jiaxing |
| collection | DOAJ |
| description | This study proposed and analyzed a vector-borne reaction–diffusion–advection model with vector-bias mechanism and heterogeneous parameters in one-dimensional habitat. The basic reproduction number R0{{\mathfrak{R}}}_{0} in connection with principal eigenvalue of elliptic eigenvalue problem is characterized as the role of determining the threshold dynamics of the system. The main objective of this study is to investigate the asymptotic profiles and monotonicity of R0{{\mathfrak{R}}}_{0} with respect to diffusion rates and advection rates under certain conditions. Through exploring the level set of R0{{\mathfrak{R}}}_{0}, we also find that there exists a unique surface separating the dynamics. Our results also reveal that the infected hosts and vectors will aggregate at the downstream end if the ratio of advection rates and diffusion rates is sufficiently large. |
| format | Article |
| id | doaj-art-acde06bd73bd4ec2b8a4a306062c0c6a |
| institution | OA Journals |
| issn | 2191-950X |
| language | English |
| publishDate | 2024-10-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Advances in Nonlinear Analysis |
| spelling | doaj-art-acde06bd73bd4ec2b8a4a306062c0c6a2025-08-20T01:53:30ZengDe GruyterAdvances in Nonlinear Analysis2191-950X2024-10-0113112010.1515/anona-2024-0045Analysis of a vector-borne disease model with vector-bias mechanism in advective heterogeneous environmentLiu Jiaxing0Wang Jinliang1Engineering Research Center of Agricultural Microbiology Technology, Ministry of Education & Heilongjiang Provincial Key Laboratory of Ecological Restoration and Resource Utilization for Cold Region & School of Mathematical Science, Heilongjiang University, Harbin 150080, P.R. ChinaEngineering Research Center of Agricultural Microbiology Technology, Ministry of Education & Heilongjiang Provincial Key Laboratory of Ecological Restoration and Resource Utilization for Cold Region & School of Mathematical Science, Heilongjiang University, Harbin 150080, P.R. ChinaThis study proposed and analyzed a vector-borne reaction–diffusion–advection model with vector-bias mechanism and heterogeneous parameters in one-dimensional habitat. The basic reproduction number R0{{\mathfrak{R}}}_{0} in connection with principal eigenvalue of elliptic eigenvalue problem is characterized as the role of determining the threshold dynamics of the system. The main objective of this study is to investigate the asymptotic profiles and monotonicity of R0{{\mathfrak{R}}}_{0} with respect to diffusion rates and advection rates under certain conditions. Through exploring the level set of R0{{\mathfrak{R}}}_{0}, we also find that there exists a unique surface separating the dynamics. Our results also reveal that the infected hosts and vectors will aggregate at the downstream end if the ratio of advection rates and diffusion rates is sufficiently large.https://doi.org/10.1515/anona-2024-0045basic reproduction numberreaction–diffusion–advectionvector-bias mechanismlevel set classificationaggregation phenomenon35k5735j5735b4092d25 |
| spellingShingle | Liu Jiaxing Wang Jinliang Analysis of a vector-borne disease model with vector-bias mechanism in advective heterogeneous environment Advances in Nonlinear Analysis basic reproduction number reaction–diffusion–advection vector-bias mechanism level set classification aggregation phenomenon 35k57 35j57 35b40 92d25 |
| title | Analysis of a vector-borne disease model with vector-bias mechanism in advective heterogeneous environment |
| title_full | Analysis of a vector-borne disease model with vector-bias mechanism in advective heterogeneous environment |
| title_fullStr | Analysis of a vector-borne disease model with vector-bias mechanism in advective heterogeneous environment |
| title_full_unstemmed | Analysis of a vector-borne disease model with vector-bias mechanism in advective heterogeneous environment |
| title_short | Analysis of a vector-borne disease model with vector-bias mechanism in advective heterogeneous environment |
| title_sort | analysis of a vector borne disease model with vector bias mechanism in advective heterogeneous environment |
| topic | basic reproduction number reaction–diffusion–advection vector-bias mechanism level set classification aggregation phenomenon 35k57 35j57 35b40 92d25 |
| url | https://doi.org/10.1515/anona-2024-0045 |
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