RUS  ENG
Full version
JOURNALS // Ural Mathematical Journal // Archive

Ural Math. J., 2022 Volume 8, Issue 2, Pages 133–142 (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

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.

Language: English

DOI: 10.15826/umj.2022.2.011



Bibliographic databases:


© Steklov Math. Inst. of RAS, 2024