The Diffusive Model for West Nile Virus on a Periodically Evolving Domain
In this paper, we investigate the impact of a periodically evolving domain on the dynamics of the diffusive West Nile virus. A reaction-diffusion model on a periodically and isotropically evolving domain which describes the transmission of the West Nile virus is proposed. In addition to the classica...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
|
| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2020/6280313 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832567422193762304 |
|---|---|
| author | Abdelrazig K. Tarboush Zhengdi Zhang |
| author_facet | Abdelrazig K. Tarboush Zhengdi Zhang |
| author_sort | Abdelrazig K. Tarboush |
| collection | DOAJ |
| description | In this paper, we investigate the impact of a periodically evolving domain on the dynamics of the diffusive West Nile virus. A reaction-diffusion model on a periodically and isotropically evolving domain which describes the transmission of the West Nile virus is proposed. In addition to the classical basic reproduction number, the spatial-temporal basic reproduction number depending on the periodic evolution rate is introduced and its properties are discussed. Under some conditions, we explore the long-time behavior of the virus. The virus will go extinct if the spatial-temporal basic reproduction number is less than or equal to one. The persistence of the virus happens if the spatial-temporal basic reproduction number is greater than one. We consider special case when the periodic evolution rate is equivalent to one to better understand the impact of the periodic evolution rate on the persistence or extinction of the virus. Some numerical simulations are performed in order to illustrate our analytical results. Our theoretical analysis and numerical simulations show that the periodic change of the habitat range plays an important role in the West Nile virus transmission, in particular, the increase of periodic evolution rate has positive effect on the spread of the virus. |
| format | Article |
| id | doaj-art-0a843c42e76f43b4b13fc83022028161 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-0a843c42e76f43b4b13fc830220281612025-02-03T01:01:30ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/62803136280313The Diffusive Model for West Nile Virus on a Periodically Evolving DomainAbdelrazig K. Tarboush0Zhengdi Zhang1Faculty of Science, Jiangsu University, Zhenjiang 212013, ChinaFaculty of Science, Jiangsu University, Zhenjiang 212013, ChinaIn this paper, we investigate the impact of a periodically evolving domain on the dynamics of the diffusive West Nile virus. A reaction-diffusion model on a periodically and isotropically evolving domain which describes the transmission of the West Nile virus is proposed. In addition to the classical basic reproduction number, the spatial-temporal basic reproduction number depending on the periodic evolution rate is introduced and its properties are discussed. Under some conditions, we explore the long-time behavior of the virus. The virus will go extinct if the spatial-temporal basic reproduction number is less than or equal to one. The persistence of the virus happens if the spatial-temporal basic reproduction number is greater than one. We consider special case when the periodic evolution rate is equivalent to one to better understand the impact of the periodic evolution rate on the persistence or extinction of the virus. Some numerical simulations are performed in order to illustrate our analytical results. Our theoretical analysis and numerical simulations show that the periodic change of the habitat range plays an important role in the West Nile virus transmission, in particular, the increase of periodic evolution rate has positive effect on the spread of the virus.http://dx.doi.org/10.1155/2020/6280313 |
| spellingShingle | Abdelrazig K. Tarboush Zhengdi Zhang The Diffusive Model for West Nile Virus on a Periodically Evolving Domain Complexity |
| title | The Diffusive Model for West Nile Virus on a Periodically Evolving Domain |
| title_full | The Diffusive Model for West Nile Virus on a Periodically Evolving Domain |
| title_fullStr | The Diffusive Model for West Nile Virus on a Periodically Evolving Domain |
| title_full_unstemmed | The Diffusive Model for West Nile Virus on a Periodically Evolving Domain |
| title_short | The Diffusive Model for West Nile Virus on a Periodically Evolving Domain |
| title_sort | diffusive model for west nile virus on a periodically evolving domain |
| url | http://dx.doi.org/10.1155/2020/6280313 |
| work_keys_str_mv | AT abdelrazigktarboush thediffusivemodelforwestnilevirusonaperiodicallyevolvingdomain AT zhengdizhang thediffusivemodelforwestnilevirusonaperiodicallyevolvingdomain AT abdelrazigktarboush diffusivemodelforwestnilevirusonaperiodicallyevolvingdomain AT zhengdizhang diffusivemodelforwestnilevirusonaperiodicallyevolvingdomain |