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Janet Ajzenstat (dir.),et al., Débats sur la fondation du Canada, Sainte-Foy, Les Presses de l’Université Laval, 2004, 555 p. (Traduit par J. Des Chènes, édition française préparée par Stéphane Kelly et Guy Laforest.)

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 R0R_0 (which now is independent of population size!) and the survival probability ff. Mathematically the model is described by a nonlinear Volterra integral equation of convolution type, just as the general Kermack-McKendrick model

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