Controlling Wolbachia transmission and invasion dynamics among aedes aegypti population via impulsive control strategy
Journal article
Authors | Dianavinnarasi, Joseph, Raja, Ramachandran, Alzabut, Jehad, Niezabitowski, Michał and Bagdasar, Ovidiu |
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Abstract | This work is devoted to analyzing an impulsive control synthesis to maintain the self-sustainability of Wolbachia among Aedes Aegypti mosquitoes. The present paper provides a fractional order Wolbachia invasive model. Through fixed point theory, this work derives the existence and uniqueness results for the proposed model. Also, we performed a global Mittag-Leffler stability analysis via Linear Matrix Inequality theory and Lyapunov theory. As a result of this controller synthesis, the sustainability of Wolbachia is preserved and non-Wolbachia mosquitoes are eradicated. Finally, a numerical simulation is established for the published data to analyze the nature of the proposed Wolbachia invasive model. |
Keywords | Computer Science (miscellaneous); General Mathematics; Sustainability |
Year | 2021 |
Journal | Symmetry |
Journal citation | 13 (3), p. 434 |
Publisher | MDPI AG |
ISSN | 2073-8994 |
Digital Object Identifier (DOI) | https://doi.org/10.3390/sym13030434 |
Web address (URL) | http://hdl.handle.net/10545/625696 |
https://creativecommons.org/licenses/by/4.0/ | |
hdl:10545/625696 | |
Publication dates | 08 Mar 2021 |
Publication process dates | |
Deposited | 07 Apr 2021, 15:02 |
Accepted | 03 Mar 2021 |
Contributors | Alagappa University, Karaikudi, India, Prince Sultan University, Riyadh, Saudi Arabia, Silesian University of Technology, Akademicka 16, Gliwice, Poland and University of Derby |
File | File Access Level Open |
File | File Access Level Open |
https://repository.derby.ac.uk/item/935v2/controlling-wolbachia-transmission-and-invasion-dynamics-among-aedes-aegypti-population-via-impulsive-control-strategy
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