Abstract

AbstractA stochastic SIR epidemic model with time delay and saturation incidence is formulated in this paper. We show that the disease dynamics of the stochastic delayed SIR model can be governed by its related threshold \(R_0^S\), whose value completely determines the disease to go extinct and prevail for any size of the white noise. The results are improved and the method is simpler than the previously-known literature. And the related results recover the known results in the earlier literature as special cases. The presented results are illustrated by numerical simulations.KeywordsThe thresholdStochastic SIR epidemic modelTime delaySaturation incidence

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.