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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| Format: | Article |
| Language: | English |
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AIMS Press
2009-12-01
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| Series: | Mathematical Biosciences and Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2010.7.99 |
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| Summary: | 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. |
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| ISSN: | 1551-0018 |