Modeling the impact of sterile males on an Aedes aegypti population with optimal control

DOI10.1016/j.mbs.2019.03.003zbMath1425.92131OpenAlexW2920979574WikidataQ92280674 ScholiaQ92280674MaRDI QIDQ2328394

Nakul Chitnis, Lea Multerer, Thomas A. Smith

Publication date: 10 October 2019

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mbs.2019.03.003

zbMATH Keywords

islandoptimal controlpartial differential equationsAllee effectAedes aegyptisterile mosquitoes

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Medical epidemiology (92C60)

Related Items (11)

Impact of the impulsive releases and Allee effect on the dispersal behavior of the wild mosquitoes ⋮ Malaria modeling and optimal control using sterile insect technique and insecticide-treated net ⋮ Optimal control approach for implementation of sterile insect techniques ⋮ Asymptotic stability in a mosquito population suppression model with time delay ⋮ Analysis and control of \textit{Aedes aegypti} mosquitoes using sterile-insect techniques with \textit{Wolbachia} ⋮ Mathematical modelling of the sterile insect technique using different release strategies ⋮ Stability analysis in a mosquito population suppression model ⋮ Optimization of a rainfall dependent model for the seasonal \textit{Aedes aegypti} integrated control: a case of Lavras/Brazil ⋮ Description and analysis of a mathematical model of population growth of \textit{Aedes aegypti} ⋮ The coexistence of fast and slow diffusion processes in the life cycle of Aedes aegypti mosquitoes ⋮ Optimal control of \textit{Aedes aegypti} using rainfall and temperature data

Uses Software

• Parampool

Cites Work

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• Impact of environmental factors on mosquito dispersal in the prospect of sterile insect technique control
• Adjoint method for a tumor invasion PDE-constrained optimization problem in 2D using adaptive finite element method
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• Mathematical model to assess the control of \textit{Aedes aegypti} mosquitoes by the sterile insect technique
• Modelling \textit{Aedes aegypti} mosquito control via transgenic and sterile insect techniques: endemics and emerging outbreaks
• Optimal control of insects through sterile insect release and habitat modification
• Optimal control of growth coefficient on a steady-state population model
• Scaling of Differential Equations
• Modelling releases of sterile mosquitoes with different strategies
• Dynamics of Mosquitoes Populations with Different Strategies for Releasing Sterile Mosquitoes

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