Global analysis of a novel nonlinear stochastic SIVS epidemic system with vaccination control
type: Item
instance of: scholarly article
title: Global analysis of a novel nonlinear stochastic SIVS epidemic system with vaccination control
zbMATH Open document ID: 1427.92089
DOI: 10.1155/2017/8098475
author: Xiaona Leng
author: Tao Feng
author: Xinzhu Meng
published in: Mathematical Problems in Engineering
publication date: 2018-11-05T00:00:00Z
review text: Summary: This paper proposes a stochastic SIVS epidemic system with nonlinear saturated infection rate under vaccination and investigates the dynamics predicted by the model. By using Itô's formula and Lyapunov methods, we first study the existence and uniqueness of global positive solution. Then we investigate the stochastic dynamics of the system and obtain the thresholds which govern the extinction and the spread of the epidemic disease. Results show that large stochastic noises can lead to the extinction of epidemic diseases; that is, stochastic disturbances can suppress the outbreak of epidemic diseases. Finally, we carry out a series of numerical simulations to demonstrate the performance of our theoretical findings.
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 60H10
Mathematics Subject Classification ID: 34D05
Mathematics Subject Classification ID: 34F05
Mathematics Subject Classification ID: 92C60
zbMATH DE Number: 6972535
Wikidata QID: Q59147809
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/8098475
OpenAlex ID: W2617905538
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description: scientific article; zbMATH DE number 6972535