Controlling Wolbachia transmission and invasion dynamics among aedes aegypti population via impulsive control strategy
Journal article
Dianavinnarasi, Joseph, Raja, Ramachandran, Alzabut, Jehad, Niezabitowski, Michał and Bagdasar, Ovidiu 2021. Controlling Wolbachia transmission and invasion dynamics among aedes aegypti population via impulsive control strategy. Symmetry. 13 (3), p. 434. https://doi.org/10.3390/sym13030434
| Authors | Dianavinnarasi, Joseph, Raja, Ramachandran, Alzabut, Jehad, Niezabitowski, Michał and Bagdasar, Ovidiu |
|---|---|
| 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 |
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Bagdasar, Ovidiu and Larcombe, Peter J. 2013. On the characterization of periodic complex Horadam sequences. Fibonacci Quarterly.On a result of Bunder involving Horadam sequences: A proof and generalization
Larcombe, Peter J. and Bagdasar, Ovidiu 2013. On a result of Bunder involving Horadam sequences: A proof and generalization. Fibonacci Quarterly.Influence discovery in semantic networks: An initial approach
Trovati, M. and Bagdasar, O. 2014. Influence discovery in semantic networks: An initial approach. IEEE. https://doi.org/10.1109/uksim.2014.48Complementary iInequalities involving the Stolarsky Mean
Bagdasar, Ovidiu 2010. Complementary iInequalities involving the Stolarsky Mean. Journal of Inequalities and Applications. https://doi.org/10.1155/2010/492570Concise computer mathematics: tutorials on theory and problems
Bagdasar, Ovidiu 2013. Concise computer mathematics: tutorials on theory and problems. Springer.On the characterization of periodic generalized Horadam sequences
Bagdasar, Ovidiu and Larcombe, Peter J. 2014. On the characterization of periodic generalized Horadam sequences. Journal of Difference Equations and Applications. https://doi.org/10.1080/10236198.2014.891022Local maximum points of explicitly quasiconvex functions
Bagdasar, Ovidiu and Popovici, Nicolae 2014. Local maximum points of explicitly quasiconvex functions. Optimization Letters. https://doi.org/10.1007/s11590-014-0781-3A horadam-based pseudo-random number generator
Bagdasar, O.D., Chen, M. and Bagdasar, O. 2014. A horadam-based pseudo-random number generator. IEEE. https://doi.org/10.1109/uksim.2014.55On the structure of periodic complex Horadam orbits
Bagdasar, Ovidiu D., Larcombe, Peter J., Anjum, Ashiq and Bagdasar, O. 2016. On the structure of periodic complex Horadam orbits. Carpathian Journal of Mathematics.Characterizations of Generalized Exponential Trichotomies for Linear Discrete-time Systems
Popa, I.-L., Ceauşu, T., Bagdasar, O. and Agarwal, R.P. 2016. Characterizations of Generalized Exponential Trichotomies for Linear Discrete-time Systems. Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica. 27 (2), pp. 153-166. https://doi.org/10.2478/auom-2019-0025On some functions involving the lcm and gcd of integer tuples
Bagdasar, Ovidiu 2014. On some functions involving the lcm and gcd of integer tuples. Scientific Publications of the State University of Novi Pazar Series A: Applied Mathematics, Informatics and mechanics. https://doi.org/10.5937/SPSUNP1402091B