Interesting Esoterica

Do Hares Eat Lynx?

Article by Michael E. Gilpin
  • Published in 1973
  • Added on
In the collections
To test a recently developed predator-prey model against reality, I chose the well-known Canadian hare-lynx system. A measure of the state of this system for the last 200-odd years is available in the fur catch records of the Hudson Bay Company (MacLulich 1937; Elton and Nicholson 1942). Although the accuracy of these data is questionable (see Elton and Nicholson for a full discussion), they represent the only long-term population record available to ecologists. The model I tested is \[ \begin{align} dH/dt &= H(r_H + C_{HL} L + S_H H + I_H H^2), \ dL/dt &= L(R_L + C_{LH} H + S_L L + I_L L^2), \end{align} \]

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Other information

key
DoHaresEatLynx
type
article
date_added
2024-06-29
date_published
1973-07-11
journal
The American Naturalist
volume
107
number
957

BibTeX entry

@article{DoHaresEatLynx,
	key = {DoHaresEatLynx},
	type = {article},
	title = {Do Hares Eat Lynx?},
	author = {Michael E. Gilpin},
	abstract = {To test a recently developed predator-prey model against reality, I chose the well-known Canadian hare-lynx system. A measure of the state of this system for the last 200-odd years is available in the fur catch records of the Hudson Bay Company (MacLulich 1937; Elton and Nicholson 1942). Although the accuracy of these data is questionable (see Elton and Nicholson for a full discussion), they represent the only long-term population record available to ecologists.

The model I tested is

\[ \begin{\{}align{\}}
dH/dt {\&}= H(r{\_}H + C{\_}{\{}HL{\}} L + S{\_}H H + I{\_}H H^2), \
dL/dt {\&}= L(R{\_}L + C{\_}{\{}LH{\}} H + S{\_}L L + I{\_}L L^2),
\end{\{}align{\}} \]
},
	comment = {},
	date_added = {2024-06-29},
	date_published = {1973-07-11},
	urls = {https://www.journals.uchicago.edu/doi/abs/10.1086/282870?journalCode=an},
	collections = {animals,modelling},
	url = {https://www.journals.uchicago.edu/doi/abs/10.1086/282870?journalCode=an},
	urldate = {2024-06-29},
	year = 1973,
	journal = {The American Naturalist},
	volume = 107,
	number = 957
}