1Assistant Professor, Department of Mathematics, Vel Tech Rangarajan Dr. Sagunthala R & D Institute of Science and Technology, Avadi, Chennai, Tamilnadu, India
2Associate Professor, Department of Mathematics, Vel Tech Rangarajan Dr. Sagunthala R & D Institute of Science and Technology, Avadi, Chennai, Tamilnadu, India
*Corresponding author, Nagadevi Bala Nagaram, Email: mreganprof@gmail.com
Online published on 19 July, 2019.
This paper investigates the randomness of plasmodium life cycle model when initial population are introduced at each stage. The system of plasmodium life cycle in random noise has not been investigated so far. This paper is a contribution in this range over area. The existence of interior equilibrium points of the system are presented. Global stability properties of the model are analyzed by using 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 interior equilibrium of the stochastic perturbation wherein the total number of plasmodium parasites remain stable. Theoretical results are numerically supported and respected diagrams are presented.
Randomness, Lyapunov function, Stochastic perturbation, Equilibrium point, Plasmodium
