Calculate the equilibrium point using Gauss-Jordan Elimination only for the case where the number of all animals is not zero.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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In a forest, there are lion, rabbit, and squirrel populations. In the wilderness, there are no other
animals. The following details are available:
- With a coefficient of 2/year, the lion population declines, and it grows when the lions have access
to food (squirrel and rabbit). Rabbits contribute 0.1 year per rabbit to the lion population, but
squirrels contribute 0.5 year per squirrel to the lion population.
-When new squirrels are born, the population grows at a rate of 7 squirrels per one squirrel. When a
lion appears, as well as when there is competition for food sources with other squirrels, it drops. The
competition coefficient is one.
-The squirrel population grows at a pace of 7 squirrels per one squirrel when new squirrels are born.
It lowers when there is a lion encounter, as well as when there is rivalry for food sources with other
squirrels. The coefficient of competition is one.
Calculate the equilibrium point using Gauss-Jordan Elimination only for the case where the number
of all animals is not zero.
Transcribed Image Text:In a forest, there are lion, rabbit, and squirrel populations. In the wilderness, there are no other animals. The following details are available: - With a coefficient of 2/year, the lion population declines, and it grows when the lions have access to food (squirrel and rabbit). Rabbits contribute 0.1 year per rabbit to the lion population, but squirrels contribute 0.5 year per squirrel to the lion population. -When new squirrels are born, the population grows at a rate of 7 squirrels per one squirrel. When a lion appears, as well as when there is competition for food sources with other squirrels, it drops. The competition coefficient is one. -The squirrel population grows at a pace of 7 squirrels per one squirrel when new squirrels are born. It lowers when there is a lion encounter, as well as when there is rivalry for food sources with other squirrels. The coefficient of competition is one. Calculate the equilibrium point using Gauss-Jordan Elimination only for the case where the number of all animals is not zero.
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