• Citer

Darwinian evolution and a predator-prey ecology

par Allen, Peter
Référence The Bulletin of Mathematical Biophysics, 37, 4, page (389-405)
Publication Publié, 1975-08

Article révisé par les pairs

• Détails
• Contenu

Résumé :

In order to represent the biological evolution of a predator-prey ecology it is necessary to add to the equations of population dynamics terms corresponding to spontaneous mutation. Using a Volterra-Lotka ecology as an example, a model is developed for this. It is based on the assumption of two levels of description; a local one containing mutation probabilities, and the other the macroscopic average equations for the whole system. Diffusion processes link the two. The "evolutionary state" of a species is interpreted as an average effectiveness in terms of a genetic parameter space and it is shown that as a result of random mutations the ecosystem drifts irreversibly through this space. © 1975 Society for Mathematical Biology.