English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

In this paper we extend a classical SIS epidemic model from a deterministic framework to a stochastic one by introducing two random perturbations in the model for transmission parameter and cure parameter, and formulate it as stochastic differential equation (SDE) for the number of infectious individuals . Then we prove that this SDE has a u nique global positive solution and establish conditions for extinction. So it is clear that the basic reproductive number f or the deterministic SIS model is larger than the basic reproductive number for the SDE model, which means for t he sake of extinction of , the condition of stochastic SIS m odel may be weaker than that of the deterministic SIS model. The results are illustrated by computer simulations.

A Stochastic Epidemic Model with Constant Immigration and Multi-Dimensional Noises