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First, the semigroup theory and the classical renewal process are adopted to compute the basic reproduction number  as the spectral radius of the next\u2010generation operator. It is shown that  equals the principal eigenvalue of a linear operator associated with a positive eigenfunction. Then we obtain the existence of endemic steady states by Shauder fixed point theorem. A threshold dynamics is established by the approach of Lyapunov functionals. Roughly speaking, if , then the virus\u2010free steady state is globally asymptotically stable; if , then the endemic steady state is globally attractive under some additional conditions on the incidence rate. Finally, the theoretical results are illustrated by numerical simulations based on a backward Euler method.<\/jats:p>","DOI":"10.1155\/2019\/5842942","type":"journal-article","created":{"date-parts":[[2019,6,16]],"date-time":"2019-06-16T23:31:38Z","timestamp":1560727898000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Spatial and Temporal Dynamics of a Viral Infection Model with Two Nonlocal Effects"],"prefix":"10.1155","volume":"2019","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6870-6048","authenticated-orcid":false,"given":"Xiaoyan","family":"Wang","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2896-5627","authenticated-orcid":false,"given":"Yuming","family":"Chen","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5825-3364","authenticated-orcid":false,"given":"Junyuan","family":"Yang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2019,6,16]]},"reference":[{"key":"e_1_2_14_1_2","doi-asserted-by":"publisher","DOI":"10.1016\/0025-5564(93)90043-A"},{"key":"e_1_2_14_2_2","doi-asserted-by":"publisher","DOI":"10.1137\/S0036144598335107"},{"key":"e_1_2_14_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.mbs.2008.10.006"},{"key":"e_1_2_14_4_2","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.93.9.4398"},{"key":"e_1_2_14_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.mbs.2007.05.004"},{"key":"e_1_2_14_6_2","doi-asserted-by":"publisher","DOI":"10.1137\/10079690X"},{"key":"e_1_2_14_7_2","doi-asserted-by":"publisher","DOI":"10.1126\/science.282.5386.103"},{"key":"e_1_2_14_8_2","doi-asserted-by":"publisher","DOI":"10.1137\/090779322"},{"key":"e_1_2_14_9_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jtbi.2004.10.004"},{"key":"e_1_2_14_10_2","doi-asserted-by":"publisher","DOI":"10.3934\/dcdsb.2011.15.545"},{"key":"e_1_2_14_11_2","doi-asserted-by":"publisher","DOI":"10.1080\/00036811.2014.955797"},{"key":"e_1_2_14_12_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2008.04.015"},{"key":"e_1_2_14_13_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2006.09.007"},{"key":"e_1_2_14_14_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2016.10.018"},{"key":"e_1_2_14_15_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2014.05.005"},{"key":"e_1_2_14_16_2","first-page":"97","volume-title":"Mathematics for Life Science and Medicine","author":"Ruan S.","year":"2007"},{"key":"e_1_2_14_17_2","doi-asserted-by":"publisher","DOI":"10.3934\/cpaa.2017037"},{"key":"e_1_2_14_18_2","doi-asserted-by":"publisher","DOI":"10.1137\/17M1144106"},{"key":"e_1_2_14_19_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.nonrwa.2018.03.001"},{"key":"e_1_2_14_20_2","doi-asserted-by":"publisher","DOI":"10.1090\/fic\/048\/02"},{"key":"e_1_2_14_21_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.cma.2017.03.020"},{"key":"e_1_2_14_22_2","first-page":"1977","article-title":"A virus dynamics model with saturation infection and humoral immunity","volume":"6","author":"Huo H. 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