https://pure.iiasa.ac.at/id/eprint/4696 2021-08-27T17:36:15Z info:eu-repo/semantics/descriptiveMetadata https://pure.iiasa.ac.at/id/eprint/4696/ On the final size of epidemics within herds Diekmann, O. Koeijer, A.A. de Metz, J.A.J. 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. Applied Mathematics Institute of the University of Alberta 1996 Article PeerReviewed text en cc_by https://pure.iiasa.ac.at/id/eprint/4696/1/On%20the%20final%20size%20epidemics%20within%20herds.pdf Diekmann, O., Koeijer, A.A. de, & Metz, J.A.J. <https://pure.iiasa.ac.at/view/iiasa/206.html> (1996). On the final size of epidemics within herds. Canadian Applied Mathematics Quarterly 4 (1) 21-30. http://www.math.ualberta.ca/ami/CAMQ/table_of_content/vol_4/4_1b.htm info:eu-repo/semantics/objectFile info:eu-repo/semantics/humanStartPage