Combined Trojan Y Chromosome Strategy and Sterile Insect Technique to Eliminate Mosquitoes: Modelling and Analysis
Jingjing Lyu, Musong Gu, Sheng Wang

TL;DR
This paper models and analyzes a combined Trojan Y Chromosome and Sterile Insect Technique strategy to effectively eliminate mosquitoes, demonstrating through dynamical and optimal control analysis that near elimination is achievable.
Contribution
It introduces a novel combined modeling approach for TYC-SIT, providing insights into its stability and optimal control for mosquito eradication.
Findings
Combined TYC-SIT strategy can nearly eliminate mosquito populations.
The model shows both local and global stability under certain conditions.
Optimal control analysis identifies effective strategies for mosquito extinction.
Abstract
Sterile insect technique has been successfully applied in the control of agricultural pests, however, it has a limited ability to control mosquitoes. A promising alternative approach is Trojan Y Chromosome strategy, which works by manipulating the sex ratio of a population through the introduction of feminized Y Y supermales that guarantee male offspring. A combined Trojan Y chromosome strategy and sterile insect technique (TYC-SIT) strategy is modeled with ordinary differential equations that allow the kinetics of the female population decline of mosquitoes to be evaluated under identical modeling conditions. The dynamical analysis leads to results on both local and global stabilities of this combined model. Optimal control analysis is also implemented to investigate the optimal mechanisms for extinction of mosquitoes. In particular, the numerical results affirm that the combined…
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