Complex dynamics in coevolution models with ratio-dependent functional response

Details Complex dynamics in coevolution models with ratio-dependent functional response Complex dynamics in coevolution models with ratio-dependent functional response

2009-10-26

arxiv.org/abs/0910.4915v1

Ecol. Complex. 6, 443-452 (2009)

Biology

Quantitative Biology

Populations and Evolution

19 pages

Scientific paper

10.1016/j.ecocom.2009.08.007

We explore the complex dynamical behavior of two simple predator-prey models of biological coevolution that on the ecological level account for interspecific and intraspecific competition, as well as adaptive foraging behavior. The underlying individual-based population dynamics are based on a ratio-dependent functional response [W.M. Getz, J. Theor. Biol. 108, 623 (1984)]. Analytical results for fixed-point population sizes in some simple communities are derived and discussed. In long kinetic Monte Carlo simulations we find quite robust, approximate 1/f noise in species diversity and population sizes, as well as power-law distributions for the lifetimes of individual species and the durations of periods of relative evolutionary stasis. Adaptive foraging enhances coexistence of species and produces a metastable low-diversity phase and a stable high-diversity phase.

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