The present research article constitutes Holling type II and IV diseased prey predator ecosystem and classified into two categories namely sus-ceptible and infected predators.We show that the system has a unique positive solution. The deterministic and stochastic nature of the dynamics of the system is investigated. We check the existence of all possible steady states with local stability. By using Routh-Hurwitz criterion we showed that the positive equilibrium point E7 is locally asymptotically stable if x∗ > √m1 .Moreover condition of the global stability of positive equilibrium point E7 are also en-trenched with help of Lyupunov theorem. Some Numerical simulations are carried out to illustrate our analytical findings. © 2020, Research Publication. All rights reserved.