
@article{hastings1991,
	title = {Chaos in a {Three}-{Species} {Food} {Chain}},
	volume = {72},
	issn = {00129658},
	url = {http://doi.wiley.com/10.2307/1940591},
	doi = {10.2307/1940591},
	abstract = {A continuous time model of a food chain incorporating nonlinear functional (and numerical) responses exhibits chaotic dynamics in long-term behavior when biologically reasonable parameter values are chosen. The appearance of chaos in this model suggests that chaotic dynamics may be common in natural food webs.},
	language = {en},
	number = {3},
	urldate = {2019-02-28},
	journal = {Ecology},
	author = {<NAME> and <NAME>},
	month = jun,
	year = {1991},
	pages = {896--903},
	file = {Hastings_Powell_1991_Chaos in a Three-Species Food.pdf:C\:\\Users\\Gabriel\\Zotero\\storage\\T4UCH8TA\\Hastings_Powell_1991_Chaos in a Three-Species Food.pdf:application/pdf}
}

@article{rosenzweig1963,
	title = {Graphical {Representation} and {Stability} {Conditions} of {Predator}-{Prey} {Interactions}},
	volume = {97},
	issn = {0003-0147, 1537-5323},
	url = {https://www.journals.uchicago.edu/doi/10.1086/282272},
	doi = {10.1086/282272},
	language = {en},
	number = {895},
	urldate = {2019-04-28},
	journal = {The American Naturalist},
	author = {<NAME>. and <NAME>.},
	month = jul,
	year = {1963},
	pages = {209--223},
	file = {Rosenzweig et MacArthur - 1963 - Graphical Representation and Stability Conditions .pdf:C\:\\Users\\Gabriel\\Zotero\\storage\\EVR9LECB\\Rosenzweig et MacArthur - 1963 - Graphical Representation and Stability Conditions .pdf:application/pdf}
}

@article{rosenzweig1973,
	title = {Exploitation in {Three} {Trophic} {Levels}},
	volume = {107},
	issn = {0003-0147, 1537-5323},
	url = {https://www.journals.uchicago.edu/doi/10.1086/282830},
	doi = {10.1086/282830},
	language = {en},
	number = {954},
	urldate = {2019-04-28},
	journal = {The American Naturalist},
	author = {Rosenzweig, <NAME>.},
	month = mar,
	year = {1973},
	pages = {275--294},
	file = {Rosenzweig - 1973 - Exploitation in Three Trophic Levels.pdf:C\:\\Users\\Gabriel\\Zotero\\storage\\F5S99TKY\\Rosenzweig - 1973 - Exploitation in Three Trophic Levels.pdf:application/pdf}
}

@article{price1980,
	title = {Interactions {Among} {Three} {Trophic} {Levels}: {Influence} of {Plants} on {Interactions} {Between} {Insect} {Herbivores} and {Natural} {Enemies}},
	volume = {11},
	issn = {0066-4162},
	shorttitle = {Interactions {Among} {Three} {Trophic} {Levels}},
	url = {http://www.annualreviews.org/doi/10.1146/annurev.es.11.110180.000353},
	doi = {10.1146/annurev.es.11.110180.000353},
	language = {en},
	number = {1},
	urldate = {2019-04-28},
	journal = {Annual Review of Ecology and Systematics},
	author = {<NAME> <NAME> <NAME> <NAME>},
	month = nov,
	year = {1980},
	pages = {41--65},
	file = {Price et al. - 1980 - Interactions Among Three Trophic Levels Influence.pdf:C\:\\Users\\Gabriel\\Zotero\\storage\\RUGCV4YJ\\Price et al. - 1980 - Interactions Among Three Trophic Levels Influence.pdf:application/pdf}
}

@article{gakkhar2012,
	title = {Control of chaos due to additional predator in the {Hastings}–{Powell} food chain model},
	volume = {385},
	issn = {0022247X},
	url = {https://linkinghub.elsevier.com/retrieve/pii/S0022247X11005956},
	doi = {10.1016/j.jmaa.2011.06.047},
	abstract = {A three species Hastings and Powell (HP) food chain model involving another predator of top prey is proposed and studied. The modiﬁed food web model is analyzed to obtain the different conditions for which system exhibits stability around the biological feasible equilibrium points. The permanence is established and global stability of boundary equilibrium point Ex is discussed. It is observed through numerical simulations, that four-dimensional model may show stable dynamics in contrast to chaotic dynamics that occurred in three species food chain. Varieties of dynamical behaviors in the food web are possible depending upon the sharing of food between the two predators of the top prey. The results demonstrate that the additional predator play the crucial role in reducing the complexity in the dynamical behavior of the system.},
	language = {en},
	number = {1},
	urldate = {2019-04-28},
	journal = {Journal of Mathematical Analysis and Applications},
	author = {<NAME> and <NAME>},
	month = jan,
	year = {2012},
	pages = {423--438},
	file = {Gakkhar et Singh - 2012 - Control of chaos due to additional predator in the.pdf:C\:\\Users\\Gabriel\\Zotero\\storage\\53BX6R4P\\Gakkhar et Singh - 2012 - Control of chaos due to additional predator in the.pdf:application/pdf}
}

@article{canale1970,
	title = {An analysis of models describing predator-prey interaction},
	volume = {12},
	issn = {0006-3592, 1097-0290},
	url = {http://doi.wiley.com/10.1002/bit.260120305},
	doi = {10.1002/bit.260120305},
	abstract = {Mathematical models of the interaction between predator and host populations have been expressed aa systems of nonlinear ordinary differential equations. Solutions of such systems may be periodic or aperiodic. Periodic oscillatory solutions may depend on the initial conditions of the system or may be limit cycles. Aperiodic solutions can, but do not necessarily, exhibit oscillatory behavior. Therefore, it is important to characterize predatory-prey models on the basis of the possible types of solutions they may possess. This characterization can be accomplished using some well-known methods of nonlinear analysis. Examination of the system singular points and inspection of phase plane portraits have proved to be useful techniques for evaluating the effect of various modifications of early predator-prey models. Of particular interest is the existence of limit cycle oscillations in a model in which predator growth rate is a function of the concentration of prey.},
	language = {en},
	number = {3},
	urldate = {2019-04-28},
	journal = {Biotechnology and Bioengineering},
	author = {<NAME>.},
	month = may,
	year = {1970},
	pages = {353--378},
	file = {Canale - 1970 - An analysis of models describing predator-prey int.pdf:C\:\\Users\\Gabriel\\Zotero\\storage\\4JLMP5P9\\Canale - 1970 - An analysis of models describing predator-prey int.pdf:application/pdf}
}

@article{blasius1999,
	title = {Complex dynamics and phase synchronization in spatially extended ecological systems},
	volume = {399},
	issn = {0028-0836, 1476-4687},
	url = {http://www.nature.com/articles/20676},
	doi = {10.1038/20676},
	language = {en},
	number = {6734},
	urldate = {2019-03-21},
	journal = {Nature},
	author = {<NAME> <NAME> and <NAME>},
	month = may,
	year = {1999},
	pages = {354--359},
	file = {Blasius_et al_1999_Complex dynamics and phase synchronization in spatially extended ecological.pdf:/home/gdansereau/Zotero/storage/63H2CWRE/Blasius_et al_1999_Complex dynamics and phase synchronization in spatially extended ecological.pdf:application/pdf}
}

@article{hastings1993,
	title = {Chaos in {Ecology}: {Is} {Mother} {Nature} a {Strange} {Attractor}?},
	volume = {24},
	shorttitle = {Chaos in {Ecology}},
	url = {https://doi.org/10.1146/annurev.es.24.110193.000245},
	doi = {10.1146/annurev.es.24.110193.000245},
	number = {1},
	urldate = {2019-04-28},
	journal = {Annual Review of Ecology and Systematics},
	author = {<NAME> Hom, <NAME>. and <NAME> <NAME>. <NAME>.},
	year = {1993},
	pages = {1--33},
	file = {Hastings et al. - Chaos in Ecology Is Mother Nature a Strange Attra.pdf:C\:\\Users\\Gabriel\\Zotero\\storage\\435QAZ79\\Hastings et al. - Chaos in Ecology Is Mother Nature a Strange Attra.pdf:application/pdf}
}

@article{bezanson2017,
	title = {Julia: {A} {Fresh} {Approach} to {Numerical} {Computing}},
	volume = {59},
	issn = {0036-1445, 1095-7200},
	shorttitle = {Julia},
	url = {https://epubs.siam.org/doi/10.1137/141000671},
	doi = {10.1137/141000671},
	language = {en},
	number = {1},
	urldate = {2019-04-29},
	journal = {SIAM Review},
	author = {<NAME>.},
	month = jan,
	year = {2017},
	pages = {65--98},
	file = {Bezanson et al. - 2017 - Julia A Fresh Approach to Numerical Computing.pdf:C\:\\Users\\Gabriel\\Zotero\\storage\\HEMXXR59\\Bezanson et al. - 2017 - Julia A Fresh Approach to Numerical Computing.pdf:application/pdf}
}

@article{rackauckas2017,
 author = {Rackauckas, <NAME> <NAME>},
 doi = {10.5334/jors.151},
 journal = {The Journal of Open Research Software},
 keywords = {Applied Mathematics},
 note = {Exported from https://app.dimensions.ai on 2019/05/05},
 number = {1},
 pages = {},
 title = {DifferentialEquations.jl – A Performant and Feature-Rich Ecosystem for Solving Differential Equations in Julia},
 url = {https://app.dimensions.ai/details/publication/pub.1085583166 and http://openresearchsoftware.metajnl.com/articles/10.5334/jors.151/galley/245/download/},
 volume = {5},
 year = {2017}
}
