Repulsion effect on superinfecting virions by infected cells for virus infection dynamic model with absorption effect and chemotaxis
A mathematical model for virus infection dynamics with absorption effect and chemotaxis is proposed to study the repulsion effect on superinfecting virions by infected cells. The basic reproduction number R0 is established. Furthermore, we show that the threshold dynamics can be expressed by the bas...
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| Veröffentlicht in: | Nonlinear analysis: real world applications 2017-02, Vol.33, p.253-283 |
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| creator | Wang, Wei Ma, Wanbiao Lai, Xiulan |
| description | A mathematical model for virus infection dynamics with absorption effect and chemotaxis is proposed to study the repulsion effect on superinfecting virions by infected cells. The basic reproduction number R0 is established. Furthermore, we show that the threshold dynamics can be expressed by the basic reproduction number R0 in a bounded domain. It is shown that the infection-free steady state E0 is asymptotically stable if R01 in the case of spatially heterogeneous infections. The stability properties and Turing instability of the proposed model have been extensively discussed for the case of spatially homogeneous infections. In addition, the existence of the travelling wave solutions is discussed in unbounded domain. At last, numerical simulations are carried out to illustrate the main results. |
| doi_str_mv | 10.1016/j.nonrwa.2016.04.013 |
| format | Article |
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The basic reproduction number R0 is established. Furthermore, we show that the threshold dynamics can be expressed by the basic reproduction number R0 in a bounded domain. It is shown that the infection-free steady state E0 is asymptotically stable if R0<1, and the virus is uniformly persistent if R0>1 in the case of spatially heterogeneous infections. The stability properties and Turing instability of the proposed model have been extensively discussed for the case of spatially homogeneous infections. In addition, the existence of the travelling wave solutions is discussed in unbounded domain. 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At last, numerical simulations are carried out to illustrate the main results.</description><subject>Absorption</subject><subject>Absorption effect</subject><subject>Asymptotic properties</subject><subject>Chemotaxis</subject><subject>Mathematical models</subject><subject>Nonlinear dynamics</subject><subject>Reproduction</subject><subject>Repulsion of superinfecting virions</subject><subject>Stability</subject><subject>Steady state</subject><subject>Travelling wave solutions</subject><subject>Turing instability</subject><subject>Virus infection dynamic model</subject><subject>Viruses</subject><issn>1468-1218</issn><issn>1878-5719</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2017</creationdate><recordtype>article</recordtype><recordid>eNqNUU1r3DAQNaGBJpv8gx507MWuRvLnJVBCmxYWAqE9C1kaZbXYkivZSfeeHx4Z59BT6Gk-3ps3zLws-wS0AAr1l2PhvAvPsmCpKmhZUOBn2QW0TZtXDXQfUl7WbQ4M2o_ZZYxHSqEBDhfZywNOyxCtdwSNQTWTlMVlwmDdWlr3SJ5sSHgk_YlsTdRE4TBEYnxY0SW-AauMPjk5WkVGr3Egz3Y-ENlHH6b5nyXSJYkDjn6Wf228ys6NHCJev8Vd9vv7t1-3P_L9_d3P26_7XPGGzblmBlnXGk6Z5jVo2ihTMto1gKrqqZKsY23fckkZGK5l2XXANSLrec-l4nyXfd50p-D_LBhnMdq4XiId-iUKaKuK13XTVP9BLVlFE5EmarlRVfAxBjRiCnaU4SSAitUfcRSbP2L1R9BSJH_S2M02huniJ4tBRGXRKdQ2pBcJ7e37Aq8kip5R</recordid><startdate>201702</startdate><enddate>201702</enddate><creator>Wang, Wei</creator><creator>Ma, Wanbiao</creator><creator>Lai, Xiulan</creator><general>Elsevier Ltd</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7U9</scope><scope>H94</scope><scope>7SC</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>JQ2</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>201702</creationdate><title>Repulsion effect on superinfecting virions by infected cells for virus infection dynamic model with absorption effect and chemotaxis</title><author>Wang, Wei ; Ma, Wanbiao ; Lai, Xiulan</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c372t-d2fe298f302d361d07cf420971ec5b0ca2928b83a021f3da49913dee2b3b3ac33</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2017</creationdate><topic>Absorption</topic><topic>Absorption effect</topic><topic>Asymptotic properties</topic><topic>Chemotaxis</topic><topic>Mathematical models</topic><topic>Nonlinear dynamics</topic><topic>Reproduction</topic><topic>Repulsion of superinfecting virions</topic><topic>Stability</topic><topic>Steady state</topic><topic>Travelling wave solutions</topic><topic>Turing instability</topic><topic>Virus infection dynamic model</topic><topic>Viruses</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Wang, Wei</creatorcontrib><creatorcontrib>Ma, Wanbiao</creatorcontrib><creatorcontrib>Lai, Xiulan</creatorcontrib><collection>CrossRef</collection><collection>Virology and AIDS Abstracts</collection><collection>AIDS and Cancer Research Abstracts</collection><collection>Computer and Information Systems Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>Nonlinear analysis: real world applications</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Wang, Wei</au><au>Ma, Wanbiao</au><au>Lai, Xiulan</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Repulsion effect on superinfecting virions by infected cells for virus infection dynamic model with absorption effect and chemotaxis</atitle><jtitle>Nonlinear analysis: real world applications</jtitle><date>2017-02</date><risdate>2017</risdate><volume>33</volume><spage>253</spage><epage>283</epage><pages>253-283</pages><issn>1468-1218</issn><eissn>1878-5719</eissn><abstract>A mathematical model for virus infection dynamics with absorption effect and chemotaxis is proposed to study the repulsion effect on superinfecting virions by infected cells. 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| ispartof | Nonlinear analysis: real world applications, 2017-02, Vol.33, p.253-283 |
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| source | Elsevier ScienceDirect Journals |
| subjects | Absorption Absorption effect Asymptotic properties Chemotaxis Mathematical models Nonlinear dynamics Reproduction Repulsion of superinfecting virions Stability Steady state Travelling wave solutions Turing instability Virus infection dynamic model Viruses |
| title | Repulsion effect on superinfecting virions by infected cells for virus infection dynamic model with absorption effect and chemotaxis |
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