Dynamics of the HBV Model with Diffusion and Time Delay
A delayed reaction-diffusion model is established to describe the hepatitis B virus (HBV) infection and control, where the diffusion is confined to a finite domain. By using the method of upper-lower solutions, we obtain the sufficient conditions for the existence of traveling wave solutions of reac...
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| creator | Meihong Qiao Huan Qi |
| description | A delayed reaction-diffusion model is established to describe the hepatitis B virus (HBV) infection and control, where the diffusion is confined to a finite domain. By using the method of upper-lower solutions, we obtain the sufficient conditions for the existence of traveling wave solutions of reaction--diffusion systems with delay. The travelling wave front, derived in this paper, corresponds to medicine injection that drives HBV to extinction. The result shows that HBV can be eliminated if the parameters satisfy some suitable conditions. |
| doi_str_mv | 10.1109/IWCFTA.2009.68 |
| format | Conference Proceeding |
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By using the method of upper-lower solutions, we obtain the sufficient conditions for the existence of traveling wave solutions of reaction--diffusion systems with delay. The travelling wave front, derived in this paper, corresponds to medicine injection that drives HBV to extinction. The result shows that HBV can be eliminated if the parameters satisfy some suitable conditions.</description><identifier>ISBN: 0769538533</identifier><identifier>ISBN: 9780769538532</identifier><identifier>DOI: 10.1109/IWCFTA.2009.68</identifier><identifier>LCCN: 2009907320</identifier><language>eng</language><publisher>IEEE</publisher><subject>Biological system modeling ; Computational biology ; Delay effects ; Delay systems ; Drugs ; Equations ; HBV ; Liver diseases ; Medical control systems ; Medical treatment ; Monotone iteration ; Propagation delay ; Reaction-diffusion systems with delay ; Travelling wave fronts</subject><ispartof>2009 International Workshop on Chaos-Fractals Theories and Applications, 2009, p.297-300</ispartof><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/5362013$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>309,310,776,780,785,786,2052,27902,54895</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/5362013$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc></links><search><creatorcontrib>Meihong Qiao</creatorcontrib><creatorcontrib>Huan Qi</creatorcontrib><title>Dynamics of the HBV Model with Diffusion and Time Delay</title><title>2009 International Workshop on Chaos-Fractals Theories and Applications</title><addtitle>IWCFTA</addtitle><description>A delayed reaction-diffusion model is established to describe the hepatitis B virus (HBV) infection and control, where the diffusion is confined to a finite domain. By using the method of upper-lower solutions, we obtain the sufficient conditions for the existence of traveling wave solutions of reaction--diffusion systems with delay. The travelling wave front, derived in this paper, corresponds to medicine injection that drives HBV to extinction. The result shows that HBV can be eliminated if the parameters satisfy some suitable conditions.</description><subject>Biological system modeling</subject><subject>Computational biology</subject><subject>Delay effects</subject><subject>Delay systems</subject><subject>Drugs</subject><subject>Equations</subject><subject>HBV</subject><subject>Liver diseases</subject><subject>Medical control systems</subject><subject>Medical treatment</subject><subject>Monotone iteration</subject><subject>Propagation delay</subject><subject>Reaction-diffusion systems with delay</subject><subject>Travelling wave fronts</subject><isbn>0769538533</isbn><isbn>9780769538532</isbn><fulltext>true</fulltext><rsrctype>conference_proceeding</rsrctype><creationdate>2009</creationdate><recordtype>conference_proceeding</recordtype><sourceid>6IE</sourceid><sourceid>RIE</sourceid><recordid>eNotzL1OwzAUQGFLqBK0dGVh8QskXOfG98ZjSeiPVMQSYKzc2FaNkgY1QShvjxBMR_qGI8SdglQpMA-793Jdr9IMwKRUXIk5MBmNhUacifkvG2DM4Fosh-EDAJQh1jndCK6ms-1iM8g-yPHk5fbxTT73zrfyO44nWcUQvobYn6U9O1nHzsvKt3a6FbNg28Ev_7sQr-unutwm-5fNrlztk6hYjwlrzl1gOGbMCIVlbJRjJCTldB6OLrjcNpYao43jpiByYDRTRrl11ihciPu_b_TeHz4vsbOX6aCRMlCIP6swRDk</recordid><startdate>200911</startdate><enddate>200911</enddate><creator>Meihong Qiao</creator><creator>Huan Qi</creator><general>IEEE</general><scope>6IE</scope><scope>6IL</scope><scope>CBEJK</scope><scope>RIE</scope><scope>RIL</scope></search><sort><creationdate>200911</creationdate><title>Dynamics of the HBV Model with Diffusion and Time Delay</title><author>Meihong Qiao ; Huan Qi</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-i175t-7574df70b277308a73c1d736361d54fbdfd4aca6c959d7c866d09576264ada913</frbrgroupid><rsrctype>conference_proceedings</rsrctype><prefilter>conference_proceedings</prefilter><language>eng</language><creationdate>2009</creationdate><topic>Biological system modeling</topic><topic>Computational biology</topic><topic>Delay effects</topic><topic>Delay systems</topic><topic>Drugs</topic><topic>Equations</topic><topic>HBV</topic><topic>Liver diseases</topic><topic>Medical control systems</topic><topic>Medical treatment</topic><topic>Monotone iteration</topic><topic>Propagation delay</topic><topic>Reaction-diffusion systems with delay</topic><topic>Travelling wave fronts</topic><toplevel>online_resources</toplevel><creatorcontrib>Meihong Qiao</creatorcontrib><creatorcontrib>Huan Qi</creatorcontrib><collection>IEEE Electronic Library (IEL) Conference Proceedings</collection><collection>IEEE Proceedings Order Plan All Online (POP All Online) 1998-present by volume</collection><collection>IEEE Xplore All Conference Proceedings</collection><collection>IEEE Electronic Library (IEL)</collection><collection>IEEE Proceedings Order Plans (POP All) 1998-Present</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Meihong Qiao</au><au>Huan Qi</au><format>book</format><genre>proceeding</genre><ristype>CONF</ristype><atitle>Dynamics of the HBV Model with Diffusion and Time Delay</atitle><btitle>2009 International Workshop on Chaos-Fractals Theories and Applications</btitle><stitle>IWCFTA</stitle><date>2009-11</date><risdate>2009</risdate><spage>297</spage><epage>300</epage><pages>297-300</pages><isbn>0769538533</isbn><isbn>9780769538532</isbn><abstract>A delayed reaction-diffusion model is established to describe the hepatitis B virus (HBV) infection and control, where the diffusion is confined to a finite domain. By using the method of upper-lower solutions, we obtain the sufficient conditions for the existence of traveling wave solutions of reaction--diffusion systems with delay. The travelling wave front, derived in this paper, corresponds to medicine injection that drives HBV to extinction. The result shows that HBV can be eliminated if the parameters satisfy some suitable conditions.</abstract><pub>IEEE</pub><doi>10.1109/IWCFTA.2009.68</doi><tpages>4</tpages></addata></record> |
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| language | eng |
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| source | IEEE Electronic Library (IEL) Conference Proceedings |
| subjects | Biological system modeling Computational biology Delay effects Delay systems Drugs Equations HBV Liver diseases Medical control systems Medical treatment Monotone iteration Propagation delay Reaction-diffusion systems with delay Travelling wave fronts |
| title | Dynamics of the HBV Model with Diffusion and Time Delay |
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