Analysis and control of Aedes Aegypti mosquitoes using sterile-insect techniques withWolbachia

Rajivganthi Chinnathambi, Fathalla A. Rihan

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

Combining Sterile and Incompatible Insect techniques can significantly reduce mosquito populations and prevent the transmission of diseases between insects and humans. This paper describes impulsive differential equations for the control of a mosquito with Wolbachia. Several interesting conditions are created when sterile male mosquitoes are released impulsively, ensuring both open- and closed-loop control. To determine the wild mosquito population size in real-time, we propose an open-loop control system, which uses impulsive and constant releases of sterile male mosquitoes. A closed-loop control scheme is also being investigated, which specifies the release of sterile mosquitoes according to the size of the wild mosquito population. To eliminate or reduce a mosquito population below a certain threshold, the Sterile insect technique involves mass releases of sterile insects. Numerical simulations verify the theoretical results.

Original languageEnglish
Pages (from-to)11154-11171
Number of pages18
JournalMathematical Biosciences and Engineering
Volume19
Issue number11
DOIs
Publication statusPublished - 2022

Keywords

  • Aedes Aegypti mosquitoes
  • Wolbachia
  • feedback control
  • stability
  • sterile insect technique

ASJC Scopus subject areas

  • Modelling and Simulation
  • General Agricultural and Biological Sciences
  • Computational Mathematics
  • Applied Mathematics

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