Stability and threshold of a stochastic SIRS epidemic model with vertical transmission and transfer from infectious to susceptible individuals
type: Item
instance of: scholarly article
title: Stability and threshold of a stochastic SIRS epidemic model with vertical transmission and transfer from infectious to susceptible individuals
zbMATH Open document ID: 1417.92180
DOI: 10.1155/2018/7570296
author: Driss Kiouach
author: Yassine Sabbar
published in: Discrete Dynamics in Nature and Society
publication date: 2019-02-20T00:00:00Z
review text: Summary: The aim of this paper is to generalize the nonlinear incidence rate of a stochastic SIRS (susceptible-infected-recovered-susceptible) epidemic model. Our basic model was enriched with the hypotheses of vertical transmission and transfer from infected to susceptible individuals, to approach the reality. Our analysis showed that the model is well-posed. Under some conditions imposed on the intensity of the white noise perturbation, the global stability of the system is proven. Furthermore, the threshold of our model which determines the extinction and persistence of the disease is established. Numerical examples are realized to prove the rigor of our theoretical results.
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 60H10
zbMATH DE Number: 7026679
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/7570296
OpenAlex ID: W2802711150
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Wikidata QID: Q129894734
description: scientific article; zbMATH DE number 7026679