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- Title
Stabilization and Complexities of Anopheles Mosquito Dynamics with Stochastic Perturbations.
- Authors
Jothi, Naresh Kumar; Rasappan, Suresh
- Abstract
This paper investigates the complex effects of Anopheles Mosquito Model. The system of Anopheles mosquito in random noise has not been investigated so far. The present paper is a contribution in this unexplored area. Its been noticed that the system has been found with boundedness. The equilibrium points of the system are also found out. Global stability properties of the model are investigated by constructing Lyapunov function. Also we introduce the stochastic perturbations and suggest the deterministic model is robust with respect to stochastic perturbations. The analysis leads to the equilibrium of the stochastic perturbation wherein the total number of mosquito population and the biocontrollers remains stationary. Finally, the numerical examples are given and the diagrams are presented which support our results.
- Subjects
STOCHASTIC processes; PERTURBATION theory; MATHEMATICAL complexes; RANDOM noise theory; ROBUST control; LYAPUNOV functions
- Publication
IAENG International Journal of Applied Mathematics, 2017, Vol 47, Issue 3, p307
- ISSN
1992-9978
- Publication type
Article