Lyapunov stability of an SIRS epidemic model with varying population

In this paper we consider an SIRS epidemic model under a general assumption of density-dependent mortality. We prove the global stability of the disease-free equilibrium and propose a Lyapunov function that allows to demonstrate the global stability of the (unique) endemic state under broad conditio...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2018-12
Main Authors: d'Onofrio, Alberto, Manfredi, Piero, Salinelli, Ernesto
Format: Article
Language:English
Subjects:
Epidemics
Liapunov functions
Stability
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by
cites
container_end_page
container_issue
container_start_page
container_title arXiv.org
container_volume
creator d'Onofrio, Alberto
Manfredi, Piero
Salinelli, Ernesto
description In this paper we consider an SIRS epidemic model under a general assumption of density-dependent mortality. We prove the global stability of the disease-free equilibrium and propose a Lyapunov function that allows to demonstrate the global stability of the (unique) endemic state under broad conditions.
format article
fullrecord <record><control><sourceid>proquest</sourceid><recordid>TN_cdi_proquest_journals_2161866637</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2161866637</sourcerecordid><originalsourceid>FETCH-proquest_journals_21618666373</originalsourceid><addsrcrecordid>eNqNyr0OgjAUQOHGxESivMNNnEmglcLuTzRxEndSpeglpa20xfD2OvgATmf4zoxElLEsKTeULkjsXJemKeUFzXMWkd15EjZoM4Lz4oYK_QSmBaGhOl0qkBYb2eMdetNIBW_0TxjFMKF-gDU2KOHR6BWZt0I5Gf-6JOvD_ro9JnYwryCdrzsTBv2lmmY8KznnrGD_XR9D9zq1</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2161866637</pqid></control><display><type>article</type><title>Lyapunov stability of an SIRS epidemic model with varying population</title><source>Publicly Available Content Database (Proquest) (PQ_SDU_P3)</source><creator>d'Onofrio, Alberto ; Manfredi, Piero ; Salinelli, Ernesto</creator><creatorcontrib>d'Onofrio, Alberto ; Manfredi, Piero ; Salinelli, Ernesto</creatorcontrib><description>In this paper we consider an SIRS epidemic model under a general assumption of density-dependent mortality. We prove the global stability of the disease-free equilibrium and propose a Lyapunov function that allows to demonstrate the global stability of the (unique) endemic state under broad conditions.</description><identifier>EISSN: 2331-8422</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Epidemics ; Liapunov functions ; Stability</subject><ispartof>arXiv.org, 2018-12</ispartof><rights>2018. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.proquest.com/docview/2161866637?pq-origsite=primo$$EHTML$$P50$$Gproquest$$Hfree_for_read</linktohtml><link.rule.ids>780,784,25753,37012,44590</link.rule.ids></links><search><creatorcontrib>d'Onofrio, Alberto</creatorcontrib><creatorcontrib>Manfredi, Piero</creatorcontrib><creatorcontrib>Salinelli, Ernesto</creatorcontrib><title>Lyapunov stability of an SIRS epidemic model with varying population</title><title>arXiv.org</title><description>In this paper we consider an SIRS epidemic model under a general assumption of density-dependent mortality. We prove the global stability of the disease-free equilibrium and propose a Lyapunov function that allows to demonstrate the global stability of the (unique) endemic state under broad conditions.</description><subject>Epidemics</subject><subject>Liapunov functions</subject><subject>Stability</subject><issn>2331-8422</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2018</creationdate><recordtype>article</recordtype><sourceid>PIMPY</sourceid><recordid>eNqNyr0OgjAUQOHGxESivMNNnEmglcLuTzRxEndSpeglpa20xfD2OvgATmf4zoxElLEsKTeULkjsXJemKeUFzXMWkd15EjZoM4Lz4oYK_QSmBaGhOl0qkBYb2eMdetNIBW_0TxjFMKF-gDU2KOHR6BWZt0I5Gf-6JOvD_ro9JnYwryCdrzsTBv2lmmY8KznnrGD_XR9D9zq1</recordid><startdate>20181227</startdate><enddate>20181227</enddate><creator>d'Onofrio, Alberto</creator><creator>Manfredi, Piero</creator><creator>Salinelli, Ernesto</creator><general>Cornell University Library, arXiv.org</general><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope></search><sort><creationdate>20181227</creationdate><title>Lyapunov stability of an SIRS epidemic model with varying population</title><author>d'Onofrio, Alberto ; Manfredi, Piero ; Salinelli, Ernesto</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-proquest_journals_21618666373</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2018</creationdate><topic>Epidemics</topic><topic>Liapunov functions</topic><topic>Stability</topic><toplevel>online_resources</toplevel><creatorcontrib>d'Onofrio, Alberto</creatorcontrib><creatorcontrib>Manfredi, Piero</creatorcontrib><creatorcontrib>Salinelli, Ernesto</creatorcontrib><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science &amp; Engineering Collection</collection><collection>ProQuest Central (Alumni)</collection><collection>ProQuest Central</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Engineering Collection</collection><collection>ProQuest Engineering Database</collection><collection>Publicly Available Content Database (Proquest) (PQ_SDU_P3)</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering collection</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>d'Onofrio, Alberto</au><au>Manfredi, Piero</au><au>Salinelli, Ernesto</au><format>book</format><genre>document</genre><ristype>GEN</ristype><atitle>Lyapunov stability of an SIRS epidemic model with varying population</atitle><jtitle>arXiv.org</jtitle><date>2018-12-27</date><risdate>2018</risdate><eissn>2331-8422</eissn><abstract>In this paper we consider an SIRS epidemic model under a general assumption of density-dependent mortality. We prove the global stability of the disease-free equilibrium and propose a Lyapunov function that allows to demonstrate the global stability of the (unique) endemic state under broad conditions.</abstract><cop>Ithaca</cop><pub>Cornell University Library, arXiv.org</pub><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier EISSN: 2331-8422
ispartof arXiv.org, 2018-12
issn 2331-8422
language eng
recordid cdi_proquest_journals_2161866637
source Publicly Available Content Database (Proquest) (PQ_SDU_P3)
subjects Epidemics
Liapunov functions
Stability
title Lyapunov stability of an SIRS epidemic model with varying population
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-28T16%3A11%3A36IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest&rft_val_fmt=info:ofi/fmt:kev:mtx:book&rft.genre=document&rft.atitle=Lyapunov%20stability%20of%20an%20SIRS%20epidemic%20model%20with%20varying%20population&rft.jtitle=arXiv.org&rft.au=d'Onofrio,%20Alberto&rft.date=2018-12-27&rft.eissn=2331-8422&rft_id=info:doi/&rft_dat=%3Cproquest%3E2161866637%3C/proquest%3E%3Cgrp_id%3Ecdi_FETCH-proquest_journals_21618666373%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_pqid=2161866637&rft_id=info:pmid/&rfr_iscdi=true