{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,20]],"date-time":"2025-09-20T18:45:53Z","timestamp":1758393953488,"version":"3.37.3"},"reference-count":36,"publisher":"Wiley","license":[{"start":{"date-parts":[[2020,4,9]],"date-time":"2020-04-09T00:00:00Z","timestamp":1586390400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11761038","GJJ180583","20171BAB202010"],"award-info":[{"award-number":["11761038","GJJ180583","20171BAB202010"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100009102","name":"Education Department of Jiangxi Province","doi-asserted-by":"publisher","award":["11761038","GJJ180583","20171BAB202010"],"award-info":[{"award-number":["11761038","GJJ180583","20171BAB202010"]}],"id":[{"id":"10.13039\/501100009102","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004479","name":"Natural Science Foundation of Jiangxi Province","doi-asserted-by":"publisher","award":["11761038","GJJ180583","20171BAB202010"],"award-info":[{"award-number":["11761038","GJJ180583","20171BAB202010"]}],"id":[{"id":"10.13039\/501100004479","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Complexity"],"published-print":{"date-parts":[[2020,4,9]]},"abstract":"<jats:p>In this paper, we investigate single-strain and multistrain viral infection models with general incidence function and density-dependent diffusion subject to the homogeneous Neumann boundary conditions. For the single-strain viral infection model, by using the linearization method and constructing appropriate Lyapunov functionals, we obtain that the global threshold dynamics of the model is determined by the reproductive numbers for viral infection <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M1\"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant=\"normal\">\u211b<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>0<\/mml:mn><\/mml:mrow><\/mml:msub><\/mml:mrow><\/mml:math>. For the multistrain viral infection model, we have discussed the competitive exclusion problem. If the reproduction number <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M2\"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant=\"normal\">\u211b<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi>i<\/mml:mi><\/mml:mrow><\/mml:msub><\/mml:mrow><\/mml:math> for strain <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M3\"><mml:mi>i<\/mml:mi><\/mml:math> is maximal and larger than one, the steady state <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M4\"><mml:mrow><mml:msub><mml:mrow><mml:mi>E<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi>i<\/mml:mi><\/mml:mrow><\/mml:msub><\/mml:mrow><\/mml:math> corresponding to the strain <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M5\"><mml:mi>i<\/mml:mi><\/mml:math> is globally stable. Thus, competitive exclusion happens and all other strains die out except strain <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M6\"><mml:mi>i<\/mml:mi><\/mml:math>. Meanwhile, we can prove that the single-strain and multistrain viral infection models are well posed. Furthermore, numerical simulations are also carried out to illustrate the theoretical results, which is seldom seen in the relevant known literatures.<\/jats:p>","DOI":"10.1155\/2020\/4923856","type":"journal-article","created":{"date-parts":[[2020,4,9]],"date-time":"2020-04-09T23:31:22Z","timestamp":1586475082000},"page":"1-20","source":"Crossref","is-referenced-by-count":4,"title":["Threshold Dynamics and Competitive Exclusion in a Virus Infection Model with General Incidence Function and Density-Dependent Diffusion"],"prefix":"10.1155","volume":"2020","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-7898-7907","authenticated-orcid":true,"given":"Xiaosong","family":"Tang","sequence":"first","affiliation":[{"name":"School of Mathematics and Physics, Jinggangshan University, Ji\u2019an 343009, China"}]},{"given":"Zhiwei","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Mathematics and Physics, Jinggangshan University, Ji\u2019an 343009, China"}]},{"given":"Jianping","family":"Yang","sequence":"additional","affiliation":[{"name":"School of Electronics and Information Engineering, Jinggangshan University, Ji\u2019an 343009, China"}]}],"member":"311","reference":[{"key":"1","doi-asserted-by":"publisher","DOI":"10.1126\/science.272.5258.74"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.93.9.4398"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1137\/s0036139902406905"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2006.06.064"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1016\/j.jtbi.2007.11.007"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2017.07.019"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1002\/mma.4411"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2016.06.032"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1016\/j.aml.2017.06.010"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1016\/j.matcom.2016.04.003"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2017.10.027"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1016\/j.nonrwa.2016.04.013"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2017.08.024"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1016\/j.nonrwa.2012.01.018"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1007\/s00285-016-1087-0"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.1016\/j.aml.2019.106037"},{"volume-title":"Mathematical 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