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
Online published on 19 July, 2019.
Present paper investigates the complexity and stability analysis of plasmodium life cycle model. The system of plasmodium life cycle in random noise has not been investigated so far. The present paper is a handout in this range over area. The existence of equilibrium point of the system are presented. Global stability properties of the model are investigated by constructing Lyapunov function. Also we introduce the stochastic perturbation and suggest the deterministic model is robust with respect to stochastic perturbation. The analysis leads to the equilibrium of the stochastic perturbation wherein the total number of plasmodium parasites remain stationary. Theoretical results are numerically supported and the diagrams are presented.
Randomness, Lyapunov function, Stochastic perturbation, Inhost equilibrium point, Plasmodium
