====== Interacting species: predation - additional resources ======

===== Lecture =====
Please check the  [[https://www.ictp-saifr.org/ix-southern-summer-school-on-mathematical-biology|ICTP-SAIRF website]]  for videos and handouts of the lectures.


====Read More====

==General==

An introduction to limit cycles at the MIT site:
[[http://math.mit.edu/suppnotes/suppnotes03/lc.pdf]]

[[http://www.oxfordbibliographies.com/view/document/obo-9780199830060/obo-9780199830060-0100.xml?rskey=MqbtRI&result=74&q=|Predator-prey interaction]] at [[http://www.oxfordbibliographies.com/| Oxford bibliographies]].

Chapters II.7, II.8 and II.10 in [[http://books.google.com.br/books/about/The_Princeton_Guide_to_Ecology.html?id=4MS-vfT89QMC&redir_esc=y|The Princeton Guide to Ecology]].

==Classic papers==

Limit Cycles in Predator-Prey Communities, by R.M. May:
[[http://www.math.ku.dk/~moller/e04/bio/may72.pdf]]

The paradox of enrichment, original paper by M. Rosenzweig:
[[http://www.sciencemag.org/content/171/3969/385.full.pdf]]

Rosenzweig-MacArthur model: [[http://www.jstor.org/stable/2458702|The American Naturalist 97: 209-223 (1963)]]

==Functional responses==
Ginzburg & Arditi 2012. [[http://books.google.com.br/books/about/How_Species_Interact.html?id=c2m6XspGs-cC&redir_esc=y|How species interact -- Altering the Standard View on Trophic Ecology]]. Oxford Univ Press. 
(//An alternative view of predator-prey models, based on functional responses to the ratio of predator and prey abundances . Has also an excellent review of classical models and functional responses.//)

Jeschke, J. M., Kopp, M., & Tollrian, R. (2002). Predator functional responses: discriminating between handling and digesting prey. Ecological Monographs, 72(1), 95-112. (//A 'family tree' of functional response models and an evaluation of their underlying mechanisms. //)

==Predation and structure of communities==

Estes J.A. et al. 2011. Trophic Downgrading of Planet Earth. Science 333: 301-306.

Holt, R.D. Predation and community organization. Cap. III.3, [[http://books.google.com.br/books/about/The_Princeton_Guide_to_Ecology.html?id=4MS-vfT89QMC&redir_esc=y|The Princeton Guide to Ecology]]

Terborgh J. & Estes J.A. 2010. [[http://books.google.com.br/books?hl=pt-BR&lr=&id=tjOT8KJ6mF8C&oi=fnd&pg=PP1&dq=Trophic+Cascades:+Predators&ots=suCEcB_hCH&sig=vxbnfUDen24mKIH4kV3SF2DVaDE#v=onepage&q=Trophic%20Cascades%3A%20Predators&f=false|Trophic Cascades: Predators]], Prey, and the Changing Dynamics of Nature. Island Press.

==Intraguild predation==

Polis, G. A., Myers, C. A., & Holt, R. D. (1989). The ecology and evolution of intraguild predation: potential competitors that eat each other. Annual review of ecology and systematics, 297-330.

Holt, R. D., & Polis, G. A. (1997). A theoretical framework for intraguild predation. American Naturalist, 745-764.

Arim, M., & Marquet, P. A. (2004). Intraguild predation: a widespread interaction related to species biology. Ecology Letters, 7(7), 557-564.

==About oscillation periods==

Shih, S. D. The period of a Lotka Volterra System. [[http://journal.taiwanmathsoc.org.tw/index.php/TJM/article/viewFile/1423/1226| 
TAIWANESE JOURNAL OF MATHEMATICS, 1(4): 451-470, 1997. ]]

==Higher order interactions==

Abrams, P. A. 1983. Arguments in favor of higher order interactions. Am. Nat. 121, 887–891.

Billick, I. and Case, T.J., 1994. Higher order interactions in ecological communities: what are they and how can they be detected?. Ecology, 75(6), 1529-1543.

Case, T. J. & Bender, E. A. 1981. Testing for higher order interactions. Am. Nat. 118, 920–929.

Grilli, J., Barabás, G., Michalska-Smith, M.J. and Allesina, S. 2017. Higher-order interactions stabilize dynamics in competitive network models. Nature, 548(7666), 210-213.

Kareiva, P. 1994. Higher order interactions as a foil to reductionist ecology. Ecology 75, 1527–1528.