Stage-structured discrete-time models for interacting wild and sterile mosquitoes with beverton-holt survivability
The sterile insect technique (SIT) is an effective weapon to prevent transmission of mosquito-borne diseases, in which sterile mosquitoes are released to reduce or eradicate the wild mosquito population. To study the impact of the sterile insect technique on the disease transmission, we formulate st...
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| Format: | Article |
| Language: | English |
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AIMS Press
2019-01-01
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| Series: | Mathematical Biosciences and Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2019028?viewType=HTML |
| _version_ | 1819277287864926208 |
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| author | Yang Li Jia Li |
| author_facet | Yang Li Jia Li |
| author_sort | Yang Li |
| collection | DOAJ |
| description | The sterile insect technique (SIT) is an effective weapon to prevent transmission of mosquito-borne diseases, in which sterile mosquitoes are released to reduce or eradicate the wild mosquito population. To study the impact of the sterile insect technique on the disease transmission, we formulate stage-structured discrete-time models for the interactive dynamics of the wild and sterile mosquitoes using Beverton-Holt type of survivability, based on difference equations. We incorporate different strategies for releasing sterile mosquitoes, and investigate the model dynamics. Numerical simulations are also provided to demonstrate dynamical features of the models. |
| first_indexed | 2024-12-23T23:53:43Z |
| format | Article |
| id | doaj.art-07be34d0caf64be8b0efbcc8f8f68d7b |
| institution | Directory Open Access Journal |
| issn | 1551-0018 |
| language | English |
| last_indexed | 2024-12-23T23:53:43Z |
| publishDate | 2019-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj.art-07be34d0caf64be8b0efbcc8f8f68d7b2022-12-21T17:25:18ZengAIMS PressMathematical Biosciences and Engineering1551-00182019-01-0116257260210.3934/mbe.2019028Stage-structured discrete-time models for interacting wild and sterile mosquitoes with beverton-holt survivabilityYang Li 0Jia Li 11. Department of Mathematics, University of Louisiana at Lafayette, Lafayette, LA 70504, USA2. Center for Applied Mathematics, Guangzhou University, Guangzhou 51006, China 3. Department of Mathematical Sciences, The University of Alabama in Huntsville, Huntsville, AL 35899, USAThe sterile insect technique (SIT) is an effective weapon to prevent transmission of mosquito-borne diseases, in which sterile mosquitoes are released to reduce or eradicate the wild mosquito population. To study the impact of the sterile insect technique on the disease transmission, we formulate stage-structured discrete-time models for the interactive dynamics of the wild and sterile mosquitoes using Beverton-Holt type of survivability, based on difference equations. We incorporate different strategies for releasing sterile mosquitoes, and investigate the model dynamics. Numerical simulations are also provided to demonstrate dynamical features of the models.https://www.aimspress.com/article/doi/10.3934/mbe.2019028?viewType=HTMLmathematical modelingbeverton-holt survivabilitydiscrete-time modelssterile mosquitoesvector-borne diseasesnumerical simulations |
| spellingShingle | Yang Li Jia Li Stage-structured discrete-time models for interacting wild and sterile mosquitoes with beverton-holt survivability Mathematical Biosciences and Engineering mathematical modeling beverton-holt survivability discrete-time models sterile mosquitoes vector-borne diseases numerical simulations |
| title | Stage-structured discrete-time models for interacting wild and sterile mosquitoes with beverton-holt survivability |
| title_full | Stage-structured discrete-time models for interacting wild and sterile mosquitoes with beverton-holt survivability |
| title_fullStr | Stage-structured discrete-time models for interacting wild and sterile mosquitoes with beverton-holt survivability |
| title_full_unstemmed | Stage-structured discrete-time models for interacting wild and sterile mosquitoes with beverton-holt survivability |
| title_short | Stage-structured discrete-time models for interacting wild and sterile mosquitoes with beverton-holt survivability |
| title_sort | stage structured discrete time models for interacting wild and sterile mosquitoes with beverton holt survivability |
| topic | mathematical modeling beverton-holt survivability discrete-time models sterile mosquitoes vector-borne diseases numerical simulations |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2019028?viewType=HTML |
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