Modeling of mosquitoes with dominantor recessive Transgenes and Allee effects
To study the impact of releasing transgenic mosquitoes on malaria transmission, weformulate discrete-time models for interacting wild and transgenic mosquitoespopulations, based on systems of difference equations. We start with modelsincluding all homozygous and heterozygous mosquitoes. We then cons...
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| Language: | English |
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AIMS Press
2009-12-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2010.7.99 |
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| _version_ | 1832590171593244672 |
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| author | Jia Li |
| author_facet | Jia Li |
| author_sort | Jia Li |
| collection | DOAJ |
| description | To study the impact of releasing transgenic mosquitoes on malaria transmission, weformulate discrete-time models for interacting wild and transgenic mosquitoespopulations, based on systems of difference equations. We start with modelsincluding all homozygous and heterozygous mosquitoes. We then consider eitherdominant or recessive transgenes to reduce the 3-dimensional model systems to2-dimensional systems. We include density-dependent vital rates and incorporateAllee effects in the functional mating rates. Dynamics of these models are exploredby investigating the existence and stability of boundary and positive fixed points.Numerical simulations are provided and brief discussions are given. |
| format | Article |
| id | doaj-art-212e386b395a4085b2ccec5fb042cff8 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2009-12-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-212e386b395a4085b2ccec5fb042cff82025-01-24T02:00:16ZengAIMS PressMathematical Biosciences and Engineering1551-00182009-12-01719912110.3934/mbe.2010.7.99Modeling of mosquitoes with dominantor recessive Transgenes and Allee effectsJia Li0Department of Mathematical Sciences, University of Alabama in Huntsville, Huntsville, AL 35899To study the impact of releasing transgenic mosquitoes on malaria transmission, weformulate discrete-time models for interacting wild and transgenic mosquitoespopulations, based on systems of difference equations. We start with modelsincluding all homozygous and heterozygous mosquitoes. We then consider eitherdominant or recessive transgenes to reduce the 3-dimensional model systems to2-dimensional systems. We include density-dependent vital rates and incorporateAllee effects in the functional mating rates. Dynamics of these models are exploredby investigating the existence and stability of boundary and positive fixed points.Numerical simulations are provided and brief discussions are given.https://www.aimspress.com/article/doi/10.3934/mbe.2010.7.99period-doubling bifurcation.stabilitydiscrete-time population modelmalariatransmissiontransgenic mosquito |
| spellingShingle | Jia Li Modeling of mosquitoes with dominantor recessive Transgenes and Allee effects Mathematical Biosciences and Engineering period-doubling bifurcation. stability discrete-time population model malariatransmission transgenic mosquito |
| title | Modeling of mosquitoes with dominantor recessive Transgenes and Allee effects |
| title_full | Modeling of mosquitoes with dominantor recessive Transgenes and Allee effects |
| title_fullStr | Modeling of mosquitoes with dominantor recessive Transgenes and Allee effects |
| title_full_unstemmed | Modeling of mosquitoes with dominantor recessive Transgenes and Allee effects |
| title_short | Modeling of mosquitoes with dominantor recessive Transgenes and Allee effects |
| title_sort | modeling of mosquitoes with dominantor recessive transgenes and allee effects |
| topic | period-doubling bifurcation. stability discrete-time population model malariatransmission transgenic mosquito |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2010.7.99 |
| work_keys_str_mv | AT jiali modelingofmosquitoeswithdominantorrecessivetransgenesandalleeeffects |