An LMI Approach-Based Mathematical Model to Control Aedes aegypti Mosquitoes Population via Biological Control
AffiliationAlagappa University, Karaikudi 630 004, India
Prince Sultan University, Riyadh 12435, Saudi Arabia
Silesian University of Technology, Akademicka 16, 44-100, Gliwice, Poland
Vinayaka Missions University, Salem 636308, India
University of Derby
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AbstractIn this paper, a novel age-structured delayed mathematical model to control Aedes aegypti mosquitoes via Wolbachia-infected mosquitoes is introduced. To eliminate the deadly mosquito-borne diseases such as dengue, chikungunya, yellow fever, and Zika virus, the Wolbachia infection is introduced into the wild mosquito population at every stage. This method is one of the promising biological control strategies. To predict the optimal amount of Wolbachia release, the time varying delay is considered. Firstly, the positiveness of the solution and existence of both Wolbachia present and Wolbachia free equilibrium were discussed. Through linearization, construction of suitable Lyapunov–Krasovskii functional, and linear matrix inequality theory (LMI), the exponential stability is also analyzed. Finally, the simulation results are presented for the real-world data collected from the existing literature to show the effectiveness of the proposed model.
CitationDianavinnarasi, J., Raja, R., Alzabut, J., Niezabitowski, M., Selvam, G. and Bagdasar, O., (2021). 'An LMI Approach-Based Mathematical Model to Control Aedes aegypti Mosquitoes Population via Biological Control'. Mathematical Problems in Engineering, pp. 1-18.
JournalMathematical Problems in Engineering
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