Physics – Condensed Matter – Statistical Mechanics
Scientific paper
1999-12-16
J. Math. Biol. 44, 375-393 (2002).
Physics
Condensed Matter
Statistical Mechanics
Comprehensive version of PRL 83, 1251-1254 (1999) Revtex 2 column format, 11 pages, 6 figures
Scientific paper
We examine the dynamics of an age-structured population model in which the life expectancy of an offspring may be mutated with respect to that of the parent. While the total population of the system always reaches a steady state, the fitness and age characteristics exhibit counter-intuitive behavior as a function of the mutational bias. By analytical and numerical study of the underlying rate equations, we show that if deleterious mutations are favored, the average fitness of the population reaches a steady state, while the average population age is a decreasing function of the overall fitness. When advantageous mutations are favored, the average population fitness grows linearly with time t, while the average age is independent of fitness. For no mutational bias, the average fitness grows as t^{2/3}.
Hwang WonMuk
Krapivsky Paul. L.
Redner Sid
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