Abstract
Transmission activities of Japanese Encephalitis are studied in many ways. In this paper, powerful and popular Geometric Brownian motion is incorporated along with a deterministic model. This motion also represents the similar transmission pattern with random activities which shows more vibrant and attractive result than that of the deterministic model. The model is also examined for stability with small stochastic perturbation and is seen that it is stable and is also supported by eigenvalues and a Phase portrait. Sensitivity analysis on the reproduction number of the epidemic helps in understanding the factors to be handled carefully during the epidemic.
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