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A note about the invariance of the basic reproduction number for stochastically perturbed SIS models

A note about the invariance of the basic reproduction number for stochastically perturbed SIS models

Abstract In Gray et al. [A stochastic differential equation SIS epidemic model, SIAM J. Appl. Math . 71 (3) (2011) 876ā€“902] a susceptibleā€infectedā€susceptible (SIS) stochastic differential equation (SDE), obtained via a suitable random perturbation of the disease transmission coefficient in the classic SIS model, has been studied. Such random perturbation ā€¦