Mortality-rate Crossovers and Maximum Lifespan in Advantaged and Disadvantaged Populations: Accelerated-mortality and Sudden-death Models
- 21 July 2000
- journal article
- Published by Elsevier BV in Journal of Theoretical Biology
- Vol. 205 (2), 171-180
- https://doi.org/10.1006/jtbi.2000.2063
Abstract
One population is advantaged relative to another by our definition if its survival function is greater at all ages. A population has a lifespan maximum if there is an age at which its survival function becomes exactly zero. Earlier work concerned conditions under which the mortality-rate functions of advantaged and disadvantaged populations displaying lifespan maxima always crossed. Here two survival models of populations having lifespan maxima are presented in which mortality-rate crossings between advantaged and disadvantaged subpopulations may fail to appear. One, the accelerated-mortality model, has a continuous survival function; in the other, the sudden-death model, the survival function is discontinuous. Both differ from examples examined previously in that their mortality-rate functions become infinite at their lifespan maxima.Keywords
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