The effect of a generalized nonlinear incidence rate on the stochastic SIS epidemic model

In this paper, we aim to analyze the classical SIS epidemic model with a generalized force of infection (including nonmonotonic cases), where the transmission rate is perturbed by white noise. Using Feller's test for explosions, we prove that the disease dies out with probability one without any restriction on the model parameters.

Automated summary

This paper aims to analyze the classical SIS epidemic model with a generalized force of infection perturbed by white noise. Through Feller's test, it is proven that the disease dies out with probability one without any restriction on the model parameters.