Evol Ecol Res 5: 819-834 (2003) Full PDF if your library subscribes.
Distributed predator–prey co-evolution
Yosef Cohen*
Department of Fisheries and Wildlife, University of Minnesota, St. Paul, MN 55108, USA
e-mail: cohen006@tc.umn.eduABSTRACT
An evolutionary distribution z (x, t) is a distribution of the density of organisms along the values of adaptive traits x at time t. Predator and prey evolutionary distributions with competition, assortative mating and mutations display dynamics that include cyclic waves and other esoteric phenomena. Such phenomena depend on the parameter space, on the instability of the predator–prey dynamics, on initial conditions and on the nature of both intra- and interdistribution interactions. Traditional reaction-diffusion models treat polynomial reaction terms. Here the reaction terms are rational. Diffusion and reaction terms in the reaction-diffusion equations emerge from first principles, including selective predation, assortative mating, mutations and competition. Non-homogeneous distributions of phenotypes along trait values emerge from non-homogeneous perturbations. The non-homogeneity, albeit stable, depends on the specific non-homogeneous perturbation. The emerging patterns are internal to population processes (predator–prey). When external, non-homogeneous selection is imposed, the predator–prey dynamics exhibit high-frequency changes in evolutionary types on the boundaries of the smooth transitions of external selective pressures.
Keywords: evolutionary distributions, evolutionary games, predator–prey co-evolution, reaction diffusion equations.
DOWNLOAD A FREE, FULL PDF COPY
IF you are connected using the IP of a subscribing institution (library, laboratory, etc.)
or through its VPN.
© 2003 Yosef Cohen. All EER articles are copyrighted by their authors. All authors endorse, permit and license Evolutionary Ecology Ltd. to grant its subscribing institutions/libraries the copying privileges specified below without additional consideration or payment to them or to Evolutionary Ecology, Ltd. These endorsements, in writing, are on file in the office of Evolutionary Ecology, Ltd. Consult authors for permission to use any portion of their work in derivative works, compilations or to distribute their work in any commercial manner.
Subscribing institutions/libraries may grant individuals the privilege of making a single copy of an EER article for non-commercial educational or non-commercial research purposes. Subscribing institutions/libraries may also use articles for non-commercial educational purposes by making any number of copies for course packs or course reserve collections. Subscribing institutions/libraries may also loan single copies of articles to non-commercial libraries for educational purposes.
All copies of abstracts and articles must preserve their copyright notice without modification.