Complex wolbachia infection dynamics in mosquitoes with imperfect maternal transmission
Dengue, malaria, and Zika are dangerous diseases primarily transmitted by Aedes aegypti, Aedes albopictus, and Anopheles stephensi. In the last few years, a new disease control method, besides pesticide spraying to kill mosquitoes, has been developed by releasing mosquitoes carrying bacterium Wolbac...
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2018-03-01
|
| Series: | Mathematical Biosciences and Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2018024 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832590025100886016 |
|---|---|
| author | Bo Zheng Wenliang Guo Linchao Hu Mugen Huang Jianshe Yu |
| author_facet | Bo Zheng Wenliang Guo Linchao Hu Mugen Huang Jianshe Yu |
| author_sort | Bo Zheng |
| collection | DOAJ |
| description | Dengue, malaria, and Zika are dangerous diseases primarily transmitted by Aedes aegypti, Aedes albopictus, and Anopheles stephensi. In the last few years, a new disease control method, besides pesticide spraying to kill mosquitoes, has been developed by releasing mosquitoes carrying bacterium Wolbachia into the natural areas to infect the wild population of mosquitoes and block disease transmission. The bacterium is transmitted by infected mothers and the maternal transmission was assumed to be perfect in virtually all previous models. However, recent experiments on Aedes aegypti and Anopheles stephensi showed that the transmission can be imperfect. In this work, we develop a model to describe how the imperfect maternal transmission affects the dynamics of Wolbachia spread. We establish two useful identities and employ them to find sufficient and necessary conditions under which the system exhibits monomorphic, bistable, and polymorphic dynamics. These analytical results may help find a plausible explanation for the recent observation that the Wolbachia strain wMelPop failed to establish in the natural populations in Australia and Vietnam. |
| format | Article |
| id | doaj-art-0a1c17b37fee4b328d0087962ce49518 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2018-03-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-0a1c17b37fee4b328d0087962ce495182025-01-24T02:40:44ZengAIMS PressMathematical Biosciences and Engineering1551-00182018-03-0115252354110.3934/mbe.2018024Complex wolbachia infection dynamics in mosquitoes with imperfect maternal transmissionBo Zheng0Wenliang Guo1Linchao Hu2Mugen Huang3Jianshe Yu4College of Mathematics and Information Sciences, Guangzhou University, Guangzhou, Guangdong 510006, ChinaCollege of Mathematics and Information Sciences, Guangzhou University, Guangzhou, Guangdong 510006, ChinaDepartment of Parasitology of Zhongshan School of Medicine, Sun Yat-sen University, Guangzhou 510080, ChinaCollege of Mathematics and Information Sciences, Guangzhou University, Guangzhou, Guangdong 510006, ChinaCollege of Mathematics and Information Sciences, Guangzhou University, Guangzhou, Guangdong 510006, ChinaDengue, malaria, and Zika are dangerous diseases primarily transmitted by Aedes aegypti, Aedes albopictus, and Anopheles stephensi. In the last few years, a new disease control method, besides pesticide spraying to kill mosquitoes, has been developed by releasing mosquitoes carrying bacterium Wolbachia into the natural areas to infect the wild population of mosquitoes and block disease transmission. The bacterium is transmitted by infected mothers and the maternal transmission was assumed to be perfect in virtually all previous models. However, recent experiments on Aedes aegypti and Anopheles stephensi showed that the transmission can be imperfect. In this work, we develop a model to describe how the imperfect maternal transmission affects the dynamics of Wolbachia spread. We establish two useful identities and employ them to find sufficient and necessary conditions under which the system exhibits monomorphic, bistable, and polymorphic dynamics. These analytical results may help find a plausible explanation for the recent observation that the Wolbachia strain wMelPop failed to establish in the natural populations in Australia and Vietnam.https://www.aimspress.com/article/doi/10.3934/mbe.2018024population dynamicswolbachiaimperfect maternal transmissioncytoplasmic incompatibilitymonomorphismpolymorphismbistability |
| spellingShingle | Bo Zheng Wenliang Guo Linchao Hu Mugen Huang Jianshe Yu Complex wolbachia infection dynamics in mosquitoes with imperfect maternal transmission Mathematical Biosciences and Engineering population dynamics wolbachia imperfect maternal transmission cytoplasmic incompatibility monomorphism polymorphism bistability |
| title | Complex wolbachia infection dynamics in mosquitoes with imperfect maternal transmission |
| title_full | Complex wolbachia infection dynamics in mosquitoes with imperfect maternal transmission |
| title_fullStr | Complex wolbachia infection dynamics in mosquitoes with imperfect maternal transmission |
| title_full_unstemmed | Complex wolbachia infection dynamics in mosquitoes with imperfect maternal transmission |
| title_short | Complex wolbachia infection dynamics in mosquitoes with imperfect maternal transmission |
| title_sort | complex wolbachia infection dynamics in mosquitoes with imperfect maternal transmission |
| topic | population dynamics wolbachia imperfect maternal transmission cytoplasmic incompatibility monomorphism polymorphism bistability |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2018024 |
| work_keys_str_mv | AT bozheng complexwolbachiainfectiondynamicsinmosquitoeswithimperfectmaternaltransmission AT wenliangguo complexwolbachiainfectiondynamicsinmosquitoeswithimperfectmaternaltransmission AT linchaohu complexwolbachiainfectiondynamicsinmosquitoeswithimperfectmaternaltransmission AT mugenhuang complexwolbachiainfectiondynamicsinmosquitoeswithimperfectmaternaltransmission AT jiansheyu complexwolbachiainfectiondynamicsinmosquitoeswithimperfectmaternaltransmission |