Evidence map›Paper›PMID 34840543›Full record

ArticleJournal of applied mathematics & computing2022

Extinction and stationary distribution of a stochastic SIQR epidemic model with demographics and non-monotone incidence rate on scale-free networks.

Yuncheng Xu, Xiaojun Sun, Hua Hu

Abstract read
In one paragraph

Article in Journal of applied mathematics & computing, 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.

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0citing papers in PubMed
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1 · What the graph read from it

What it found

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The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

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3 · Its place in the literature

Who cites it

0 citing papers in PubMed.

No citing paper in PubMed yet.

4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

3 authors.

Yuncheng XuSchool of Mathematics and Statistics, Ning Xia University, Ningxia, 750021 China.ORCID 0000-0002-8941-7122
Xiaojun SunSchool of Mathematics and Information Science, Bao Ji University of Arts and Sciences, Baoji, 721013 China.
Hua HuSchool of Mathematics and Statistics, Ning Xia University, Ningxia, 750021 China.

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

By taking full consideration of contact heterogeneity of individuals, quarantine measures, demographics, information transmission and random environments, we present a stochastic SIQR epidemic model with demographics and non-monotone incidence rate on scale-free networks, which introduces stochastic perturbations to death rate. The formula of the basic reproduction number of the deterministic model is obtained by utilizing the existence of the endemic equilibrium. Next, we define a stopping time, then the existence of a unique global positive solution for the stochastic model is proved by constructing appropriate Lyapunov function to demonstrate the stopping time is infinite. In addition, we also manifest sufficient conditions for diseases extinction and the existence of ergodic stationary distribution by constructing appropriate stochastic Lyapunov functions. At last, numerical simulations illustrate the analytical results.

Indexed as

ExtinctionNon-monotone incidence rateScale-free networksStationary distributionStochastic SIQR epidemic model

Identifiers

PMID34840543
PMCPMC8610800

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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.