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In this paper we study stability of endemic equilibrium of stochastic vector-borne disease model with direct transmission. More precisely, we extend the deterministic epidemic model by introducing random perturbations around the endemic equilibrium state and obtain stability conditions for the considered model by suitable Lyapunov functions method. Finally, we provide real world example to illustrate results obtained through the paper.

Vector-borne disease, Endemic equilibrium, Mean square stability, Stochastic stability, Lyapunov function