My recent publications

Dear Foodwebbers,

Here are the URLs of my two most recent papers on evolution of food-web
structure for an individual-based evolutionary predator-prey model:

P.A. Rikvold and V. Sevim, 
``Individual-based Predator-prey Model for Biological Coevolution:
Fluctuations, Stability, and Community Structure."
Phys. Rev. E 75, 051920 (2007) (17 pages).
http://link.aps.org/abstract/PRE/v75/e051920
Free preprint: http://arXiv.org/abs/q-bio.PE/0611023

P.A. Rikvold,
``Self-optimization, Community Stability, and Fluctuations
in Two Individual-based Models of Biological Coevolution."
J. Math. Biol., published online:  
http://dx.doi.org/10.1007/s00285-007-0101-y
Free preprint: http://arXiv.org/abs/q-bio.PE/0508025
(The preprint version contains a discussion of the difference between 
the effects of an external resource and a carrying capacity, which the
editor of JMB insisted I must remove from the published version. 
Especially for people with a physics background, the difference should
be quite clear: the external resource has an effect similar to the
magnetic field in an Ising model, while the carrying capacity is the
inverse of the term in the Ginzburg-Landau Hamiltonian that keeps the
order parameter from diverging to infinity in the ordered phase.)

Some earlier papers on the same evolution models, but with less emphasis
on the food-web structure and more on the long-time dynamics, are: 

P.A. Rikvold. 
``Complex Behavior in Simple Models of Biological Coevolution."
Submitted to <i>Int. J. Mod. Phys. C</i>. 
Free preprint: http://arXiv.org/abs/q-bio.PE/0609013

V. Sevim and P.A. Rikvold,
``Effects of Correlated Interactions in a Biological Coevolution
Model with Individual-based Dynamics."
J. Phys. A: Math. Gen. 38, 9475-9489 (2005).
http://stacks.iop.org/0305-4470/38/9475
Free preprint: http://arXiv.org/abs/q-bio.PE/0507040

R.K.P. Zia and P.A. Rikvold,
``Fluctuations and Correlations in an Individual-based Model of
Biological Coevolution.'' 
J. Phys. A: Math. Gen., 37 5135-5155 (2004).
http://stacks.iop.org/0305-4470/37/5135
Free preprint:   http://arXiv.org/abs/q-bio.PE/0401008

P.A. Rikvold and R.K.P. Zia,
"Punctuated Equilibria and 1/f Noise in a Biological Coevolution 
Model with Individual-based Dynamics."
Phys. Rev. E 68, 031913 (2003) (16 pages). 
http://publish.aps.org/abstract/PRE/v68/e031913/
Free preprint: http://arXiv.org/abs/nlin.AO/0306023

My full publication list, with links to published papers and preprints,
is at 
http://people.scs.fsu.edu/~rikvold/publs.html

With best regards,
Per Arne Rikvold
Professor of Physics
Florida State University
rikvold@...