Isle Royale is Michigan\'s only national park. It is the home of over 1600 moose

Question

Isle Royale is Michigan's only national park. It is the home of over 1600 moose and currently (in 2017) just 2 wolves. It is the object of the longest-running continuous study (for over 50 years) of a predator-prey system in the world [2]. There have been periods when there were over 50 wolves on the island. We would like to study how changes in the wolf population affect the moose and plants on Isle Royale. For simplicity, consider the system of balsam fir trees (especially loved by moose) -x(t), moose - y(t), and wolves- 2(t). Moose feed on trees (and other plants), wolves feed on moose (and other mammals). 1. Explain the role of each term in the following system. dy dt di

Explanation / Answer

1.

Equation one says that change in population of tress in unit time t is equal to population of trees at time t minus trees dieing due to natural process plus increase in trees due to change of moose population

Equation two says that change in population of moose in unit time t is equal to population of moose at time t minus tmoose dieing due to natural process plus increase in population of moose due to change of tree population minus death of wolf due to change of moose population

Equation three says that change in population of wolf in unit time t is equal to population of wolf at time t minus wolf dieing due to natural process plus increase in population of wolf due to change of moose population

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