A stage structured model for mosquito suppression with immigration
The incompatible insect technique based on Wolbachia is a promising alternative to control mosquito-borne diseases, such as dengue fever, malaria, and Zika, which drives wild female mosquitoes sterility through a mechanism cytoplasmic incompatibility. A successful control program should be able to w...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2024-11-01
|
| Series: | Mathematical Biosciences and Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2024328 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832590850145648640 |
|---|---|
| author | Mugen Huang Zifeng Wang Zixin Nie |
| author_facet | Mugen Huang Zifeng Wang Zixin Nie |
| author_sort | Mugen Huang |
| collection | DOAJ |
| description | The incompatible insect technique based on Wolbachia is a promising alternative to control mosquito-borne diseases, such as dengue fever, malaria, and Zika, which drives wild female mosquitoes sterility through a mechanism cytoplasmic incompatibility. A successful control program should be able to withstand the perturbation induced by the immigration of fertilized females from surrounding uncontrolled areas. In this paper, we formulated a system of delay differential equations, including larval and adult stages, interfered by Wolbachia-infected males. We classified the release number of infected males and immigration number of fertile females, to ensure that the system displays globally asymptotically stable or bistable dynamics. The immigration of fertile females hinders the maximum possible suppression efficiency so that the wild adults cannot be reduced to a level below $ A^*_\infty $. We identified the permitted most migration number to reduce the wild adults to a target level. To reduce up to $ 90\% $ of wild adults in the peak season within two months, an economically viable strategy is to reduce the immigration number of wild females less than $ 0.21\% $ of the carrying capacity of adults in the control area. |
| format | Article |
| id | doaj-art-e06f199adbc6420bb5bb99a0dbcf24ec |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-e06f199adbc6420bb5bb99a0dbcf24ec2025-01-23T07:48:07ZengAIMS PressMathematical Biosciences and Engineering1551-00182024-11-0121117454747910.3934/mbe.2024328A stage structured model for mosquito suppression with immigrationMugen Huang0Zifeng Wang1Zixin Nie2School of Statistics and Mathematics, Guangdong University of Finance and Economics, Guangzhou 510320, ChinaSchool of Statistics and Mathematics, Guangdong University of Finance and Economics, Guangzhou 510320, ChinaSchool of Statistics and Mathematics, Guangdong University of Finance and Economics, Guangzhou 510320, ChinaThe incompatible insect technique based on Wolbachia is a promising alternative to control mosquito-borne diseases, such as dengue fever, malaria, and Zika, which drives wild female mosquitoes sterility through a mechanism cytoplasmic incompatibility. A successful control program should be able to withstand the perturbation induced by the immigration of fertilized females from surrounding uncontrolled areas. In this paper, we formulated a system of delay differential equations, including larval and adult stages, interfered by Wolbachia-infected males. We classified the release number of infected males and immigration number of fertile females, to ensure that the system displays globally asymptotically stable or bistable dynamics. The immigration of fertile females hinders the maximum possible suppression efficiency so that the wild adults cannot be reduced to a level below $ A^*_\infty $. We identified the permitted most migration number to reduce the wild adults to a target level. To reduce up to $ 90\% $ of wild adults in the peak season within two months, an economically viable strategy is to reduce the immigration number of wild females less than $ 0.21\% $ of the carrying capacity of adults in the control area.https://www.aimspress.com/article/doi/10.3934/mbe.2024328dengue feverwolbachiamigrationmosquito population suppressiondelay differential equation model |
| spellingShingle | Mugen Huang Zifeng Wang Zixin Nie A stage structured model for mosquito suppression with immigration Mathematical Biosciences and Engineering dengue fever wolbachia migration mosquito population suppression delay differential equation model |
| title | A stage structured model for mosquito suppression with immigration |
| title_full | A stage structured model for mosquito suppression with immigration |
| title_fullStr | A stage structured model for mosquito suppression with immigration |
| title_full_unstemmed | A stage structured model for mosquito suppression with immigration |
| title_short | A stage structured model for mosquito suppression with immigration |
| title_sort | stage structured model for mosquito suppression with immigration |
| topic | dengue fever wolbachia migration mosquito population suppression delay differential equation model |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2024328 |
| work_keys_str_mv | AT mugenhuang astagestructuredmodelformosquitosuppressionwithimmigration AT zifengwang astagestructuredmodelformosquitosuppressionwithimmigration AT zixinnie astagestructuredmodelformosquitosuppressionwithimmigration AT mugenhuang stagestructuredmodelformosquitosuppressionwithimmigration AT zifengwang stagestructuredmodelformosquitosuppressionwithimmigration AT zixinnie stagestructuredmodelformosquitosuppressionwithimmigration |