Descriptor: "Itô’s formula" / Journal: chaos, solitons & fractals / Publisher: elsevier b.v. / Topic: extinction - Searchworks@Jio Institute Digital Library Search Results

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Start Over Descriptor "Itô’s formula" Topic extinction Journal chaos, solitons & fractals Publisher elsevier b.v.

Author: Xu, Changyong and Li, Xiaoyue
Subjects: *SYSTEMIC inflammatory response syndrome, *STOCHASTIC systems, *EPIDEMICS, *VACCINATION, *WHITE noise
Abstract: A model of delayed stochastic SIRS type with temporary immunity and vaccination is investigated. The existence and uniqueness of the global positive solution of the model is proved. The threshold of the stochastic SIRS epidemic model is obtained. Compared with the corresponding deterministic model, the threshold affected by the white noise is smaller than the basic reproduction number R 0 of the deterministic system. The vaccination immunity period can also affect the threshold of stochastic and deterministic model. Numerical simulations are carried out to support our theoretical results. [ABSTRACT FROM AUTHOR]
Published: 2018
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