Stationary Distribution of a Mathematical Model
Keywords:
Stochastic differential equation, Itô formula, Stationary distribution, ErgodicityAbstract
This paper aims to study a new class of a stochastic SIS (susceptible, infected, susceptible) epidemic model where the transmission coefficient of the disease and the death rate are perturbed. By using the Khasminski theory, we establish suitable conditions under which the stochastic SIS model has a unique stationary distribution. The stationary of such model means that the disease will prevail.
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