Extinction and ergodic property of stochastic SIS epidemic model with nonlinear incidence rate
type: Item
instance of: scholarly article
title: Extinction and ergodic property of stochastic SIS epidemic model with nonlinear incidence rate
zbMATH Open document ID: 1302.92129
DOI: 10.1155/2013/127321
author: Qixing Han
author: Daqing Jiang
author: Chengjun Yuan
published in: Abstract and Applied Analysis
publication date: 2014-06-20T00:00:00Z
review text: Summary: We investigate a stochastic SIS model with nonlinear incidence rate. We show that there exists a unique nonnegative solution to the system, and condition for the infectious individuals \(I(t)\) to be extinct is given. Moreover, we prove that the system has ergodic property. Finally, computer simulations are carried out to verify our results.
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 60H10
Mathematics Subject Classification ID: 34F05
zbMATH DE Number: 6306038
Wikidata QID: Q58915311
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/127321
OpenAlex ID: W2056431004
cites work: Permanence of an SIR epidemic model with distributed time delays
cites work: The dynamics of a new SIR epidemic model concerning pulse vaccination strategy
cites work: Q3331035
cites work: Modeling with Itô Stochastic Differential Equations
cites work: Global stability of two-group SIR model with random perturbation
cites work: Extinction and recurrence of multi-group SEIR epidemic models with stochastic perturbations
cites work: A Stochastic Differential Equation SIS Epidemic Model
cites work: Dynamical behavior of epidemiological models with nonlinear incidence rates
cites work: Dynamical behavior of an epidemic model with a nonlinear incidence rate
cites work: Global analysis of an epidemic model with nonmonotone incidence rate
cites work: Q4404205
cites work: Q4369402
cites work: Environmental Brownian noise suppresses explosions in population dynamics.
cites work: Q4002114
cites work: An algorithmic introduction to numerical simulation of stochastic differential equations
description: scientific article; zbMATH DE number 6306038