PMID: 11909021Mar 23, 2002Paper

Analytical solution of a model for complex food webs

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
J CamachoL A Amaral

Abstract

We investigate numerically and analytically a recently proposed model for food webs [Nature 404, 180 (2000)] in the limit of large web sizes and sparse interaction matrices. We obtain analytical expressions for several quantities with ecological interest, in particular, the probability distributions for the number of prey and the number of predators. We find that these distributions have fast-decaying exponential and Gaussian tails, respectively. We also find that our analytical expressions are robust to changes in the details of the model.

References

Nov 13, 1987·Science·F Briand, J E Cohen
Jun 12, 1998·Nature·D J Watts, S H Strogatz
Mar 21, 2000·Nature·R J Williams, N D Martinez
May 23, 2000·Nature·K S McCann
May 23, 2000·Nature·F S ChapinS Díaz
Mar 22, 2001·Nature·S H Strogatz
Jun 22, 2001·Nature·F LiljerosY Aberg
Apr 9, 1993·Science·N D Martinez

❮ Previous
Next ❯

Citations

Nov 17, 2010·Journal of Mathematical Biology·Åke BrännströmAxel G Rossberg
Dec 6, 2006·Proceedings of the National Academy of Sciences of the United States of America·Daniel B StoufferLuís A Nunes Amaral
Jun 15, 2007·Proceedings. Biological Sciences·Daniel B StoufferLuís A Nunes Amaral
Nov 12, 2010·Proceedings. Biological Sciences·Axel G RossbergJohn K Pinnegar
Jun 19, 2013·PloS One·Deniz RendeBetul Kirdar
Feb 13, 2007·Journal of Theoretical Biology·J CamachoL A N Amaral
Feb 21, 2008·The Journal of Animal Ecology·Richard J Williams, Neo D Martinez
Aug 8, 2006·Journal of Theoretical Biology·A G RossbergK Itoh
Jun 13, 2002·Physical Review Letters·Juan CamachoLuís A Nunes Amaral
Jul 13, 2006·Bulletin of Mathematical Biology·Ken AriiLael Parrott
Dec 27, 2007·Journal of Statistical Mechanics : Theory and Experiment·Roger Guimerà, Luís A Nunes Amaral
May 9, 2008·Ecology Letters·Kevin D LaffertyDavid W Thieltges
Jun 29, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Volkan Sevim, Per Arne Rikvold
Aug 7, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Per Arne Rikvold, Volkan Sevim
Jun 4, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Andrzej PekalskiMichel Droz
Mar 16, 2011·The Journal of Animal Ecology·Daniel B StoufferLuís A Nunes Amaral
Feb 25, 2020·Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences·Ricard Solé, Sergi Valverde
Apr 28, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Janusz Szwabiński, Andrzej Pekalski
Aug 11, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Sungmin Lee, Yup Kim

❮ Previous
Next ❯

Related Concepts

Trending Feeds

COVID-19

Coronaviruses encompass a large family of viruses that cause the common cold as well as more serious diseases, such as the ongoing outbreak of coronavirus disease 2019 (COVID-19; formally known as 2019-nCoV). Coronaviruses can spread from animals to humans; symptoms include fever, cough, shortness of breath, and breathing difficulties; in more severe cases, infection can lead to death. This feed covers recent research on COVID-19.

Blastomycosis

Blastomycosis fungal infections spread through inhaling Blastomyces dermatitidis spores. Discover the latest research on blastomycosis fungal infections here.

Nuclear Pore Complex in ALS/FTD

Alterations in nucleocytoplasmic transport, controlled by the nuclear pore complex, may be involved in the pathomechanism underlying multiple neurodegenerative diseases including Amyotrophic Lateral Sclerosis and Frontotemporal Dementia. Here is the latest research on the nuclear pore complex in ALS and FTD.

Applications of Molecular Barcoding

The concept of molecular barcoding is that each original DNA or RNA molecule is attached to a unique sequence barcode. Sequence reads having different barcodes represent different original molecules, while sequence reads having the same barcode are results of PCR duplication from one original molecule. Discover the latest research on molecular barcoding here.

Chronic Fatigue Syndrome

Chronic fatigue syndrome is a disease characterized by unexplained disabling fatigue; the pathology of which is incompletely understood. Discover the latest research on chronic fatigue syndrome here.

Evolution of Pluripotency

Pluripotency refers to the ability of a cell to develop into three primary germ cell layers of the embryo. This feed focuses on the mechanisms that underlie the evolution of pluripotency. Here is the latest research.

Position Effect Variegation

Position Effect Variagation occurs when a gene is inactivated due to its positioning near heterochromatic regions within a chromosome. Discover the latest research on Position Effect Variagation here.

STING Receptor Agonists

Stimulator of IFN genes (STING) are a group of transmembrane proteins that are involved in the induction of type I interferon that is important in the innate immune response. The stimulation of STING has been an active area of research in the treatment of cancer and infectious diseases. Here is the latest research on STING receptor agonists.

Microbicide

Microbicides are products that can be applied to vaginal or rectal mucosal surfaces with the goal of preventing, or at least significantly reducing, the transmission of sexually transmitted infections. Here is the latest research on microbicides.

Related Papers

Physical Review Letters
J CamachoLuís A Nunes Amaral
Proceedings of the National Academy of Sciences of the United States of America
D B StoufferL A Amaral
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Jian-Yang Zhu, Han Zhu
© 2022 Meta ULC. All rights reserved