Threshold dynamics of a reaction–advection–diffusion schistosomiasis epidemic model with seasonality and spatial heterogeneity
Most water-borne disease models ignore the advection of water flows in order to simplify the mathematical analysis and numerical computation. However, advection can play an important role in determining the disease transmission dynamics. In this paper, we investigate the long-term dynamics of a peri...
| Main Authors: | , , |
|---|---|
| Format: | Journal article |
| Language: | English |
| Published: |
Springer
2024
|
| _version_ | 1811140071385989120 |
|---|---|
| author | Wu, P Salmaniw, Y Wang, X |
| author_facet | Wu, P Salmaniw, Y Wang, X |
| author_sort | Wu, P |
| collection | OXFORD |
| description | Most water-borne disease models ignore the advection of water flows in order to simplify the mathematical analysis and numerical computation. However, advection can play an important role in determining the disease transmission dynamics. In this paper, we investigate the long-term dynamics of a periodic reaction–advection–diffusion schistosomiasis model and explore the joint impact of advection, seasonality and spatial heterogeneity on the transmission of the disease. We derive the basic reproduction number R0 and show that the disease-free periodic solution is globally attractive when R0<1 whereas there is a positive endemic periodic solution and the system is uniformly persistent in a special case when R0>1. Moreover, we find that R0 is a decreasing function of the advection coefficients which offers insights into why schistosomiasis is more serious in regions with slow water flows. |
| first_indexed | 2024-09-25T04:16:09Z |
| format | Journal article |
| id | oxford-uuid:d9a77431-5f3d-441e-a129-a8fefb5944c5 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-09-25T04:16:09Z |
| publishDate | 2024 |
| publisher | Springer |
| record_format | dspace |
| spelling | oxford-uuid:d9a77431-5f3d-441e-a129-a8fefb5944c52024-07-20T14:34:48ZThreshold dynamics of a reaction–advection–diffusion schistosomiasis epidemic model with seasonality and spatial heterogeneityJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:d9a77431-5f3d-441e-a129-a8fefb5944c5EnglishJisc Publications RouterSpringer2024Wu, PSalmaniw, YWang, XMost water-borne disease models ignore the advection of water flows in order to simplify the mathematical analysis and numerical computation. However, advection can play an important role in determining the disease transmission dynamics. In this paper, we investigate the long-term dynamics of a periodic reaction–advection–diffusion schistosomiasis model and explore the joint impact of advection, seasonality and spatial heterogeneity on the transmission of the disease. We derive the basic reproduction number R0 and show that the disease-free periodic solution is globally attractive when R0<1 whereas there is a positive endemic periodic solution and the system is uniformly persistent in a special case when R0>1. Moreover, we find that R0 is a decreasing function of the advection coefficients which offers insights into why schistosomiasis is more serious in regions with slow water flows. |
| spellingShingle | Wu, P Salmaniw, Y Wang, X Threshold dynamics of a reaction–advection–diffusion schistosomiasis epidemic model with seasonality and spatial heterogeneity |
| title | Threshold dynamics of a reaction–advection–diffusion schistosomiasis epidemic model with seasonality and spatial heterogeneity |
| title_full | Threshold dynamics of a reaction–advection–diffusion schistosomiasis epidemic model with seasonality and spatial heterogeneity |
| title_fullStr | Threshold dynamics of a reaction–advection–diffusion schistosomiasis epidemic model with seasonality and spatial heterogeneity |
| title_full_unstemmed | Threshold dynamics of a reaction–advection–diffusion schistosomiasis epidemic model with seasonality and spatial heterogeneity |
| title_short | Threshold dynamics of a reaction–advection–diffusion schistosomiasis epidemic model with seasonality and spatial heterogeneity |
| title_sort | threshold dynamics of a reaction advection diffusion schistosomiasis epidemic model with seasonality and spatial heterogeneity |
| work_keys_str_mv | AT wup thresholddynamicsofareactionadvectiondiffusionschistosomiasisepidemicmodelwithseasonalityandspatialheterogeneity AT salmaniwy thresholddynamicsofareactionadvectiondiffusionschistosomiasisepidemicmodelwithseasonalityandspatialheterogeneity AT wangx thresholddynamicsofareactionadvectiondiffusionschistosomiasisepidemicmodelwithseasonalityandspatialheterogeneity |