Threshold Dynamics in a Periodic Three-Patch Rift Valley Fever Virus Transmission Model
This paper investigates a three-patch Rift Valley fever virus transmission model with periodic coefficients. The basic reproduction number Ri0i=1,2,3 is calculated for the model by using the next infection operator method. The threshold conditions on the extinction and permanence in the mean of the...
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2019/7896946 |
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| _version_ | 1832563662963867648 |
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| author | Buyu Wen Zhidong Teng Wenlin Liu |
| author_facet | Buyu Wen Zhidong Teng Wenlin Liu |
| author_sort | Buyu Wen |
| collection | DOAJ |
| description | This paper investigates a three-patch Rift Valley fever virus transmission model with periodic coefficients. The basic reproduction number Ri0i=1,2,3 is calculated for the model by using the next infection operator method. The threshold conditions on the extinction and permanence in the mean of the disease with probability one. The Rift Valley fever disease will be permanent in the j-th j=1,2,3 patch if j≥i,Ri0>1 and dies out in the j-th patch if j<i. The numerical simulations are given to confirm the theoretical results. |
| format | Article |
| id | doaj-art-c9dbf747e5e34c16b879b43eb60ba2b1 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-c9dbf747e5e34c16b879b43eb60ba2b12025-02-03T01:12:57ZengWileyComplexity1076-27871099-05262019-01-01201910.1155/2019/78969467896946Threshold Dynamics in a Periodic Three-Patch Rift Valley Fever Virus Transmission ModelBuyu Wen0Zhidong Teng1Wenlin Liu2College of Mathematics and Systems Science, Xinjiang University, Urumqi 830046, ChinaCollege of Mathematics and Systems Science, Xinjiang University, Urumqi 830046, ChinaCollege of Mathematics and Systems Science, Xinjiang University, Urumqi 830046, ChinaThis paper investigates a three-patch Rift Valley fever virus transmission model with periodic coefficients. The basic reproduction number Ri0i=1,2,3 is calculated for the model by using the next infection operator method. The threshold conditions on the extinction and permanence in the mean of the disease with probability one. The Rift Valley fever disease will be permanent in the j-th j=1,2,3 patch if j≥i,Ri0>1 and dies out in the j-th patch if j<i. The numerical simulations are given to confirm the theoretical results.http://dx.doi.org/10.1155/2019/7896946 |
| spellingShingle | Buyu Wen Zhidong Teng Wenlin Liu Threshold Dynamics in a Periodic Three-Patch Rift Valley Fever Virus Transmission Model Complexity |
| title | Threshold Dynamics in a Periodic Three-Patch Rift Valley Fever Virus Transmission Model |
| title_full | Threshold Dynamics in a Periodic Three-Patch Rift Valley Fever Virus Transmission Model |
| title_fullStr | Threshold Dynamics in a Periodic Three-Patch Rift Valley Fever Virus Transmission Model |
| title_full_unstemmed | Threshold Dynamics in a Periodic Three-Patch Rift Valley Fever Virus Transmission Model |
| title_short | Threshold Dynamics in a Periodic Three-Patch Rift Valley Fever Virus Transmission Model |
| title_sort | threshold dynamics in a periodic three patch rift valley fever virus transmission model |
| url | http://dx.doi.org/10.1155/2019/7896946 |
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