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Ural Mathematical Journal, 2022, Volume 8, Issue 2, Pages 133–142
DOI: https://doi.org/10.15826/umj.2022.2.011 (Mi umj178) 		 
Analysis of the growth rate of feminine mosquito through difference equations

Regan Murugesana, Sathish Kumar Kumaravela, Suresh Rasappanb, Wardah Abdullah Al Majrafib

a Vel Tech Rangarajan Dr. Sagunthala R & D Institute of Science and Technology
b University of Technology and Applied Sciences - Ibri
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DOI: https://doi.org/10.15826/umj.2022.2.011
Abstract: The mosquito life cycle is developed mathematically with the concept of difference equation. The qualitative properties of the life-cycle are analyzed. The Lyapunov function is defined for difference equation to stabilize the system of mosquito life cycle. A novel technique is applied for deriving stability criterion, especially the back-stepping control technique is applied for discrete time system. The bifurcation analysis is also furnished for the model of mosquito life cycle. The new technique is applied in the mosquito life cycle model and its results are examined through MATLAB.
Keywords: difference equation, mosquito, bifurcation, equilibrium, strict feedback, difference equation, mosquito, bifurcation, equilibrium, strict feedback.
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Document Type: Article
Language: English
Citation: Regan Murugesan, Sathish Kumar Kumaravel, Suresh Rasappan, Wardah Abdullah Al Majrafi, “Analysis of the growth rate of feminine mosquito through difference equations”, Ural Math. J., 8:2 (2022), 133–142
Citation in format AMSBIB
\Bibitem{MurKumRas22}
\by Regan~Murugesan, Sathish~Kumar~Kumaravel, Suresh~Rasappan, Wardah~Abdullah~Al Majrafi
\paper Analysis of the growth rate of feminine mosquito through difference equations
\jour Ural Math. J.
\yr 2022
\vol 8
\issue 2
\pages 133--142
\mathnet{http://mi.mathnet.ru/umj178}
\crossref{https://doi.org/10.15826/umj.2022.2.011}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4527697}
\elib{https://elibrary.ru/item.asp?id=50043148}
\edn{https://elibrary.ru/WVUEDF}
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