{"id":6,"date":"2018-10-11T16:07:14","date_gmt":"2018-10-11T16:07:14","guid":{"rendered":"https:\/\/my.vanderbilt.edu\/glennwebb\/publications\/"},"modified":"2018-10-17T18:47:23","modified_gmt":"2018-10-17T18:47:23","slug":"publications","status":"publish","type":"page","link":"https:\/\/my.vanderbilt.edu\/glennwebb\/publications\/","title":{"rendered":"Recent Publications"},"content":{"rendered":"<ul>\n<li style=\"font-weight: 400\">(with P. Magal and Y. Wu) On a Vector-host Epidemic Model with Spatial Structure,\u00a0<em>Nonlinearity\u00a0<\/em>Vol. 41 (2018)<em>\u00a0<\/em>692-705<em>.<br \/>\n<\/em><\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<ul>\n<li style=\"font-weight: 400\">(with P. Magal and O. Seydi) Final size of a multi-group SIR epidemic model: Irreducible and non-irreducible modes of transmission,\u00a0<em>Math. Biosciences<\/em>, Vol. 301 (2018), 59-67.<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<ul>\n<li style=\"font-weight: 400\">(with J.Z. Farkas and G.T. Smith) A dynamic model of CT scans for quantifying doubling times of ground glass model opacities using histogram analysis,\u00a0<em>Math. Bios. Eng<\/em>., Vol. 15(5), (2018), 1203-1224.<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<ul>\n<li style=\"font-weight: 400\">(with P. Magal) The parameter identification problem for SIR epidemic models: Identifying unreported cases, 20.<em> Math. Biol<\/em>., January, (2018), 1-20.<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<ul>\n<li style=\"font-weight: 400\">(with W.E. Fitzgibbon, J.J. Morgan, and Y. Wu) A vector-host epidemic model with spatial structure and age of infection,\u00a0<em>Nonl. Anal: Real World Appl.<\/em>, Vol. 41, (2018), 692-705.<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<ul>\n<li style=\"font-weight: 400\">The ensemble interpretation of quantum mechanics and the two-slit experiment, Chapter in \u201cContributions to Partial Differential Equations and Applications\u201d,\u00a0<em>Computational Methods in Applied Science<\/em>, Vol. 47, Springer-Verlag (2018), 433-452.<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<ul>\n<li style=\"font-weight: 400\">(with W.E Fitzgibbon and J.J. Morgan) An outbreak vector-host epidemic model with spatial structure: The 2015-2016 Zika outbreak in Rio De Janeiro,\u00a0<em>Theoret. Biol. Med. Mod<\/em>., Vol. 14(7), (2017).<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<ul>\n<li style=\"font-weight: 400\">(with C. Browne and M. Wang), A stochastic model of nosocomial epidemics in hospital intensive care units,\u00a0<em>Elect. J. Qual. Theory Dif. Eqs<\/em>., No.6, (2017), 1\u201312.<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<ul>\n<li style=\"font-weight: 400\">Individual based models and differential equations models of nosocomial epidemics in hospital intensive care units,\u00a0<em>Discr. Cont. Dyn. Sys. &#8211; Ser.\u00a0<\/em>B, Vol. 22, No. 3, (2017), 1145-1166.<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<ul>\n<li style=\"font-weight: 400\">(with W. Ding) Optimal control applied to community-acquired methicillin-resistant\u00a0<em>Staphylococcus Aureu<\/em>s in hospitals,\u00a0<em>J. Biol. Dyn<\/em>., Vol. 11, No. 51, (2017), 55-78.<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<ul>\n<li style=\"font-weight: 400\">(with J.Z. Farkas) Mathematical analysis of a clonal evolution model of tumour cell proliferation,\u00a0<em>308. Evol. Eqs.<\/em>17(1), (2017), 275-308.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>(with P. Magal and Y. Wu) On a Vector-host Epidemic Model with Spatial Structure,\u00a0Nonlinearity\u00a0Vol. 41 (2018)\u00a0692-705. &nbsp; (with P. Magal and O. Seydi) Final size of a multi-group SIR epidemic model: Irreducible and non-irreducible modes of transmission,\u00a0Math. Biosciences, Vol. 301 (2018), 59-67. &nbsp; (with J.Z. Farkas and G.T. Smith) A dynamic model of CT scans&#8230;<\/p>\n","protected":false},"author":2695,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"tags":[],"class_list":["post-6","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/my.vanderbilt.edu\/glennwebb\/wp-json\/wp\/v2\/pages\/6","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/my.vanderbilt.edu\/glennwebb\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/my.vanderbilt.edu\/glennwebb\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/my.vanderbilt.edu\/glennwebb\/wp-json\/wp\/v2\/users\/2695"}],"replies":[{"embeddable":true,"href":"https:\/\/my.vanderbilt.edu\/glennwebb\/wp-json\/wp\/v2\/comments?post=6"}],"version-history":[{"count":7,"href":"https:\/\/my.vanderbilt.edu\/glennwebb\/wp-json\/wp\/v2\/pages\/6\/revisions"}],"predecessor-version":[{"id":52,"href":"https:\/\/my.vanderbilt.edu\/glennwebb\/wp-json\/wp\/v2\/pages\/6\/revisions\/52"}],"wp:attachment":[{"href":"https:\/\/my.vanderbilt.edu\/glennwebb\/wp-json\/wp\/v2\/media?parent=6"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/my.vanderbilt.edu\/glennwebb\/wp-json\/wp\/v2\/tags?post=6"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}