The impact of vaccine success and awareness on epidemic dynamics
The role of vaccine success is introduced into an epidemic spreading model consisting of three states: susceptible, infectious, and vaccinated. Moreover, the effect of three types, namely, contact, local, and global, of infection awareness and immunization awareness is also taken into consideration....
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Veröffentlicht in: | Chaos (Woodbury, N.Y.) N.Y.), 2016-11, Vol.26 (11), p.113105-113105 |
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description | The role of vaccine success is introduced into an epidemic spreading model consisting of three states: susceptible, infectious, and vaccinated. Moreover, the effect of three types, namely, contact, local, and global, of infection awareness and immunization awareness is also taken into consideration. The model generalizes those considered in Pastor-Satorras and Vespignani [Phys. Rev. E 63, 066117 (2001)], Pastor-Satorras and Vespignani [Phys. Rev. E 65, 036104 (2002)], Moreno et al. [Eur. Phys. J. B 26, 521–529 (2002)], Wu et al. [Chaos 22, 013101 (2012)], and Wu et al. [Chaos 24, 023108 (2014)]. Our main results contain the following. First, the epidemic threshold is explicitly obtained. In particular, we show that, for any initial conditions, the epidemic eventually dies out regardless of what other factors are whenever some type of immunization awareness is considered, and vaccination has a perfect success. Moreover, the threshold is independent of the global type of awareness. Second, we compare the effect of contact and local types of awareness on the epidemic thresholds between heterogeneous networks and homogeneous networks. Specifically, we find that the epidemic threshold for the homogeneous network can be lower than that of the heterogeneous network in an intermediate regime for intensity of contact infection awareness while it is higher otherwise. In summary, our results highlight the important and crucial roles of both vaccine success and contact infection awareness on epidemic dynamics. |
doi_str_mv | 10.1063/1.4966945 |
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Moreover, the effect of three types, namely, contact, local, and global, of infection awareness and immunization awareness is also taken into consideration. The model generalizes those considered in Pastor-Satorras and Vespignani [Phys. Rev. E 63, 066117 (2001)], Pastor-Satorras and Vespignani [Phys. Rev. E 65, 036104 (2002)], Moreno et al. [Eur. Phys. J. B 26, 521–529 (2002)], Wu et al. [Chaos 22, 013101 (2012)], and Wu et al. [Chaos 24, 023108 (2014)]. Our main results contain the following. First, the epidemic threshold is explicitly obtained. In particular, we show that, for any initial conditions, the epidemic eventually dies out regardless of what other factors are whenever some type of immunization awareness is considered, and vaccination has a perfect success. Moreover, the threshold is independent of the global type of awareness. Second, we compare the effect of contact and local types of awareness on the epidemic thresholds between heterogeneous networks and homogeneous networks. Specifically, we find that the epidemic threshold for the homogeneous network can be lower than that of the heterogeneous network in an intermediate regime for intensity of contact infection awareness while it is higher otherwise. In summary, our results highlight the important and crucial roles of both vaccine success and contact infection awareness on epidemic dynamics.</description><identifier>ISSN: 1054-1500</identifier><identifier>EISSN: 1089-7682</identifier><identifier>EISSN: 1054-1500</identifier><identifier>DOI: 10.1063/1.4966945</identifier><identifier>PMID: 27907992</identifier><identifier>CODEN: CHAOEH</identifier><language>eng</language><publisher>United States: American Institute of Physics</publisher><subject>Disease Susceptibility ; Epidemics ; Humans ; Immunization ; Infections ; Initial conditions ; Regular ; Success ; Vaccination ; Vaccines</subject><ispartof>Chaos (Woodbury, N.Y.), 2016-11, Vol.26 (11), p.113105-113105</ispartof><rights>Author(s)</rights><rights>2016 Author(s). Published by AIP Publishing.</rights><rights>2016. 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Moreover, the effect of three types, namely, contact, local, and global, of infection awareness and immunization awareness is also taken into consideration. The model generalizes those considered in Pastor-Satorras and Vespignani [Phys. Rev. E 63, 066117 (2001)], Pastor-Satorras and Vespignani [Phys. Rev. E 65, 036104 (2002)], Moreno et al. [Eur. Phys. J. B 26, 521–529 (2002)], Wu et al. [Chaos 22, 013101 (2012)], and Wu et al. [Chaos 24, 023108 (2014)]. Our main results contain the following. First, the epidemic threshold is explicitly obtained. In particular, we show that, for any initial conditions, the epidemic eventually dies out regardless of what other factors are whenever some type of immunization awareness is considered, and vaccination has a perfect success. Moreover, the threshold is independent of the global type of awareness. Second, we compare the effect of contact and local types of awareness on the epidemic thresholds between heterogeneous networks and homogeneous networks. Specifically, we find that the epidemic threshold for the homogeneous network can be lower than that of the heterogeneous network in an intermediate regime for intensity of contact infection awareness while it is higher otherwise. In summary, our results highlight the important and crucial roles of both vaccine success and contact infection awareness on epidemic dynamics.</description><subject>Disease Susceptibility</subject><subject>Epidemics</subject><subject>Humans</subject><subject>Immunization</subject><subject>Infections</subject><subject>Initial conditions</subject><subject>Regular</subject><subject>Success</subject><subject>Vaccination</subject><subject>Vaccines</subject><issn>1054-1500</issn><issn>1089-7682</issn><issn>1054-1500</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2016</creationdate><recordtype>article</recordtype><sourceid>EIF</sourceid><recordid>eNp90UuLFDEQB_AgiruuHvwC0uBFhV5TeXSSiyiLL1jwsp5DdZJ2s0wnbdI9st_eHmYcX7CnSsiPf6ooQp4CPQfa8ddwLkzXGSHvkVOg2rSq0-z-7ixFC5LSE_Ko1htKKTAuH5ITpgxVxrBT8vbqOjRxnNDNTR6aLToXU2jq4lyotcHkG_yBJaTdLacmTNGHMbrG3yZca31MHgy4qeHJoZ6Rrx_eX118ai-_fPx88e6ydZLC3CJwT70H4YwwjFHTK-kplb1jnfLCUwwaUTHfIwMqsIdB8UHDwIX2Rnh-Rt7sc6elH4N3Ic0FN3YqccRyazNG-_dLitf2W95aBcCE0GvAi0NAyd-XUGc7xurCZoMp5KVa0EJqpjhnK33-D73JS0nreJZxw6SUlJk7FTCQXEuhVvVyr1zJtZYwHFsGanfbs2AP21vtsz9nPMpf61rBqz2oLs44x5yOZpvL7yQ7-eEu_P_XPwF-6q9B</recordid><startdate>20161101</startdate><enddate>20161101</enddate><creator>Juang, Jonq</creator><creator>Liang, Yu-Hao</creator><general>American Institute of Physics</general><general>AIP Publishing LLC</general><scope>CGR</scope><scope>CUY</scope><scope>CVF</scope><scope>ECM</scope><scope>EIF</scope><scope>NPM</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope><scope>COVID</scope><scope>7X8</scope><scope>5PM</scope><orcidid>https://orcid.org/0000-0002-2419-6488</orcidid></search><sort><creationdate>20161101</creationdate><title>The impact of vaccine success and awareness on epidemic dynamics</title><author>Juang, Jonq ; Liang, Yu-Hao</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c501t-a13d0dd14c9492209b75d005bc267d4d0ae8aa72dba2104ab1f73f81f348d94d3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2016</creationdate><topic>Disease Susceptibility</topic><topic>Epidemics</topic><topic>Humans</topic><topic>Immunization</topic><topic>Infections</topic><topic>Initial conditions</topic><topic>Regular</topic><topic>Success</topic><topic>Vaccination</topic><topic>Vaccines</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Juang, Jonq</creatorcontrib><creatorcontrib>Liang, Yu-Hao</creatorcontrib><collection>Medline</collection><collection>MEDLINE</collection><collection>MEDLINE (Ovid)</collection><collection>MEDLINE</collection><collection>MEDLINE</collection><collection>PubMed</collection><collection>CrossRef</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Coronavirus Research Database</collection><collection>MEDLINE - Academic</collection><collection>PubMed Central (Full Participant titles)</collection><jtitle>Chaos (Woodbury, N.Y.)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Juang, Jonq</au><au>Liang, Yu-Hao</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>The impact of vaccine success and awareness on epidemic dynamics</atitle><jtitle>Chaos (Woodbury, N.Y.)</jtitle><addtitle>Chaos</addtitle><date>2016-11-01</date><risdate>2016</risdate><volume>26</volume><issue>11</issue><spage>113105</spage><epage>113105</epage><pages>113105-113105</pages><issn>1054-1500</issn><eissn>1089-7682</eissn><eissn>1054-1500</eissn><coden>CHAOEH</coden><abstract>The role of vaccine success is introduced into an epidemic spreading model consisting of three states: susceptible, infectious, and vaccinated. Moreover, the effect of three types, namely, contact, local, and global, of infection awareness and immunization awareness is also taken into consideration. The model generalizes those considered in Pastor-Satorras and Vespignani [Phys. Rev. E 63, 066117 (2001)], Pastor-Satorras and Vespignani [Phys. Rev. E 65, 036104 (2002)], Moreno et al. [Eur. Phys. J. B 26, 521–529 (2002)], Wu et al. [Chaos 22, 013101 (2012)], and Wu et al. [Chaos 24, 023108 (2014)]. Our main results contain the following. First, the epidemic threshold is explicitly obtained. In particular, we show that, for any initial conditions, the epidemic eventually dies out regardless of what other factors are whenever some type of immunization awareness is considered, and vaccination has a perfect success. Moreover, the threshold is independent of the global type of awareness. 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subjects | Disease Susceptibility Epidemics Humans Immunization Infections Initial conditions Regular Success Vaccination Vaccines |
title | The impact of vaccine success and awareness on epidemic dynamics |
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