ANALYSIS OF THE GROWTH RATE OF FEMININE MOSQUITO THROUGH DIFFERENCE EQUATIONS
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 s...
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| Format: | Article |
| Language: | English |
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Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin, Krasovskii Institute of Mathematics and Mechanics
2022-12-01
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| Series: | Ural Mathematical Journal |
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| Online Access: | https://umjuran.ru/index.php/umj/article/view/474 |
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| author | Regan Murugesan Sathish Kumar Kumaravel Suresh Rasappan Wardah Abdullah Al Majrafi |
| author_facet | Regan Murugesan Sathish Kumar Kumaravel Suresh Rasappan Wardah Abdullah Al Majrafi |
| author_sort | Regan Murugesan |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-d71a93c4631247febb23b70a543a86ce |
| institution | Matheson Library |
| issn | 2414-3952 |
| language | English |
| publishDate | 2022-12-01 |
| publisher | Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin, Krasovskii Institute of Mathematics and Mechanics |
| record_format | Article |
| series | Ural Mathematical Journal |
| spelling | doaj-art-d71a93c4631247febb23b70a543a86ce2025-08-02T20:36:04ZengUral Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin, Krasovskii Institute of Mathematics and MechanicsUral Mathematical Journal2414-39522022-12-018210.15826/umj.2022.2.011156ANALYSIS OF THE GROWTH RATE OF FEMININE MOSQUITO THROUGH DIFFERENCE EQUATIONSRegan Murugesan0Sathish Kumar Kumaravel1Suresh Rasappan2Wardah Abdullah Al Majrafi3Vel Tech Rangarajan Dr.Sagunthala R&D Institute of Science and Technology, # 42 Avadi-Vel Tech Road, Avadi, Chennai- 600062, Tamil NaduVel Tech Rangarajan Dr.Sagunthala R&D Institute of Science and Technology, # 42 Avadi-Vel Tech Road, Avadi, Chennai- 600062, Tamil NadMathematics Section, Department of Information Technology, College of Computing and Information Sciences, University of Technology and Applied Sciences- Ibri, PO Box 466, Postal Code 516, Ibri, Sultanate of OmanMathematics Section,Department of Information Technology, College of Computing and Information Sciences University of Technology and Applied Sciences- Ibri, PO Box 466, Postal Code 516, Ibri, Sultanate of OmanThe 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.https://umjuran.ru/index.php/umj/article/view/474difference equation, mosquito, bifurcation, equilibrium, strict feedback |
| spellingShingle | Regan Murugesan Sathish Kumar Kumaravel Suresh Rasappan Wardah Abdullah Al Majrafi ANALYSIS OF THE GROWTH RATE OF FEMININE MOSQUITO THROUGH DIFFERENCE EQUATIONS Ural Mathematical Journal difference equation, mosquito, bifurcation, equilibrium, strict feedback |
| title | ANALYSIS OF THE GROWTH RATE OF FEMININE MOSQUITO THROUGH DIFFERENCE EQUATIONS |
| title_full | ANALYSIS OF THE GROWTH RATE OF FEMININE MOSQUITO THROUGH DIFFERENCE EQUATIONS |
| title_fullStr | ANALYSIS OF THE GROWTH RATE OF FEMININE MOSQUITO THROUGH DIFFERENCE EQUATIONS |
| title_full_unstemmed | ANALYSIS OF THE GROWTH RATE OF FEMININE MOSQUITO THROUGH DIFFERENCE EQUATIONS |
| title_short | ANALYSIS OF THE GROWTH RATE OF FEMININE MOSQUITO THROUGH DIFFERENCE EQUATIONS |
| title_sort | analysis of the growth rate of feminine mosquito through difference equations |
| topic | difference equation, mosquito, bifurcation, equilibrium, strict feedback |
| url | https://umjuran.ru/index.php/umj/article/view/474 |
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