Transmission dynamics of Zika virus incorporating harvesting
In this paper, we establish a ZIKV model and investigate the transmission dynamics of ZIKV with two types of harvesting: proportional harvesting and constant harvesting, and give the stability of the steady states of both disease-free and endemic equilibrium, analyze the effect of harvesting on ZIKV...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2020-09-01
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| Series: | Mathematical Biosciences and Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2020327?viewType=HTML |
| _version_ | 1818729572280041472 |
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| author | Zongmin Yue Fauzi Mohamed Yusof Sabarina Shafie |
| author_facet | Zongmin Yue Fauzi Mohamed Yusof Sabarina Shafie |
| author_sort | Zongmin Yue |
| collection | DOAJ |
| description | In this paper, we establish a ZIKV model and investigate the transmission dynamics of ZIKV with two types of harvesting: proportional harvesting and constant harvesting, and give the stability of the steady states of both disease-free and endemic equilibrium, analyze the effect of harvesting on ZIKV transmission dynamics via numerical simulation. We find that proportional harvesting strategy can eliminate the virus when the basic reproduction number R0 is less than 1, but the constant harvesting strategy may control the virus whether the basic reproduction number is less than 1 or not. Epidemiologically, we find that increasing harvesting may stimulate an increase in the number of virus infections at some point, and harvesting can postpone the peak of disease transmission with the mortality of mosquito increasing. The results can provide us with some useful control strategies to regulate ZIKV dynamics. |
| first_indexed | 2024-12-17T22:48:01Z |
| format | Article |
| id | doaj.art-8e44a02afea04180b7b67cc9338eb5ea |
| institution | Directory Open Access Journal |
| issn | 1551-0018 |
| language | English |
| last_indexed | 2024-12-17T22:48:01Z |
| publishDate | 2020-09-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj.art-8e44a02afea04180b7b67cc9338eb5ea2022-12-21T21:29:46ZengAIMS PressMathematical Biosciences and Engineering1551-00182020-09-011756181620210.3934/mbe.2020327Transmission dynamics of Zika virus incorporating harvestingZongmin Yue0Fauzi Mohamed Yusof1Sabarina Shafie21. Faculty of Science and Mathematics, Sultan Idris Education University, Tanjong Malim Perak 35900, Malaysia 2. School of Arts and sciences, Shaanxi University of Science and Technology, Xi’an 710021, China1. Faculty of Science and Mathematics, Sultan Idris Education University, Tanjong Malim Perak 35900, Malaysia1. Faculty of Science and Mathematics, Sultan Idris Education University, Tanjong Malim Perak 35900, MalaysiaIn this paper, we establish a ZIKV model and investigate the transmission dynamics of ZIKV with two types of harvesting: proportional harvesting and constant harvesting, and give the stability of the steady states of both disease-free and endemic equilibrium, analyze the effect of harvesting on ZIKV transmission dynamics via numerical simulation. We find that proportional harvesting strategy can eliminate the virus when the basic reproduction number R0 is less than 1, but the constant harvesting strategy may control the virus whether the basic reproduction number is less than 1 or not. Epidemiologically, we find that increasing harvesting may stimulate an increase in the number of virus infections at some point, and harvesting can postpone the peak of disease transmission with the mortality of mosquito increasing. The results can provide us with some useful control strategies to regulate ZIKV dynamics.https://www.aimspress.com/article/doi/10.3934/mbe.2020327?viewType=HTMLzikvharvestingequilibriumstabilitynumerical simulation |
| spellingShingle | Zongmin Yue Fauzi Mohamed Yusof Sabarina Shafie Transmission dynamics of Zika virus incorporating harvesting Mathematical Biosciences and Engineering zikv harvesting equilibrium stability numerical simulation |
| title | Transmission dynamics of Zika virus incorporating harvesting |
| title_full | Transmission dynamics of Zika virus incorporating harvesting |
| title_fullStr | Transmission dynamics of Zika virus incorporating harvesting |
| title_full_unstemmed | Transmission dynamics of Zika virus incorporating harvesting |
| title_short | Transmission dynamics of Zika virus incorporating harvesting |
| title_sort | transmission dynamics of zika virus incorporating harvesting |
| topic | zikv harvesting equilibrium stability numerical simulation |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2020327?viewType=HTML |
| work_keys_str_mv | AT zongminyue transmissiondynamicsofzikavirusincorporatingharvesting AT fauzimohamedyusof transmissiondynamicsofzikavirusincorporatingharvesting AT sabarinashafie transmissiondynamicsofzikavirusincorporatingharvesting |