eprintid: 4696 rev_number: 6 eprint_status: archive userid: 351 dir: disk0/00/00/46/96 datestamp: 2016-01-15 02:06:53 lastmod: 2021-08-27 17:36:15 status_changed: 2016-01-15 02:06:53 type: article metadata_visibility: show item_issues_count: 0 creators_name: Diekmann, O. creators_name: Koeijer, A.A. de creators_name: Metz, J.A.J. creators_id: 7506 title: On the final size of epidemics within herds ispublished: pub internal_subjects: iis_ecl internal_subjects: iis_met internal_subjects: iis_mod divisions: prog_adn abstract: We are concerned with an epidemic in a closed population under the assumption that the per capita number of contacts remains constant, when population size diminishes due to the fatal consequences of the disease. We focus on the final size as a function of the basic reproduction ratio R_o (which now is independent of population size!) and the survival probability f. Mathematically, the model is described by a nonlinear Volterra integral equation of convolution type, just as the general Kermack-McKendrick model. date: 1996 date_type: published publisher: Applied Mathematics Institute of the University of Alberta official_url: http://www.math.ualberta.ca/ami/CAMQ/table_of_content/vol_4/4_1b.htm iiasapubid: XJ-96-003 iiasa_bibnotes: <www.math.ualberta.ca/ami/CAMQ/table_of_content/vol_4/4_1b.htm> creators_browse_id: 206 full_text_status: public publication: Canadian Applied Mathematics Quarterly volume: 4 number: 1 pagerange: 21-30 refereed: TRUE issn: 1073-1849 coversheets_dirty: FALSE fp7_type: info:eu-repo/semantics/article citation: Diekmann, O., Koeijer, A.A. de, & Metz, J.A.J. (1996). On the final size of epidemics within herds. Canadian Applied Mathematics Quarterly 4 (1) 21-30. document_url: https://pure.iiasa.ac.at/id/eprint/4696/1/On%20the%20final%20size%20epidemics%20within%20herds.pdf