Modeling of selection processes with age-dependent birth and death rates |
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Authors: | W Ebeling A Engel V G Mazenko |
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Institution: | 1. Departamento de Matemática Aplicada & IMUVA, Facultad de Ciencias, Universidad de Valladolid, Valladolid, Spain;2. Departamento de Matemática Aplicada & IMUVA, ETS de Ingenieros de Telecomunicación, Universidad de Valladolid, Paseo de Belén, 15 - Campus Miguel Delibes, 47011 Valladolid, Spain |
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Abstract: | Two simple models for the competition and selection in age-dependent populations are developed and analyzed mathematically. Following Eigen, competition is introduced by the condition of constant overall-number of the population. In the first model this condition is satisfied by regulation of a dilution flux and in the second case by regulation of a food density. The calculation of maximal fitness is given explicitly for both situations. It is shown that fitness depends in a complicated way on the age-dependence of the birth and death rates. Therefore species have to develop special aging strategies in order to survive in a population under selection pressure. In general, early reproduction is of advantage and increases fitness. |
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