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Consider the two systems of differential equations dr (1) = 0.3z - 0.1ry = 0.3r - 3ry dt dy dt = -0.1y +2ry = -2y + 0.1zy dt One of these systems refers to a predator-prey system with very lethargic predators-those who seldom catch prey but who can live for a long time on a single prey (for example, boa constrictors). The other system refers to a very active predator that requires many prey to stay healthy (such as a small cat). The prey in each case is the same. Identify which system is which and justify your answer.

Consider the two systems of differential equations dr (1) = 0.3z - 0.1ry = 0.3r - 3ry dt dy dt = -0.1y +2ry = -2y + 0.1zy dt One of these systems refers to a predator-prey system with very lethargic predators-those who seldom catch prey but who can live for a long time on a single prey (for example, boa constrictors). The other system refers to a very active predator that requires many prey to stay healthy (such as a small cat). The prey in each case is the same. Identify which system is which and justify your answer.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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2.* Consider the two systems of differential equations dr (i) = 0.3r - 0.1ry = 0.3z - 3ry dt dt = -0.1y + 2ry = -2y + 0.1zy dt One of these systems refers to a predator-prey system with very lethargic predators-those who seldom catch prey but who can live for a long time on a single prey (for example, boa constrictors). The other system refers to a very active predator that requires many prey to stay healthy (such as a small cat). The prey in each case is the same. Identify which system is which and justify your answer.
Transcribed Image Text:2.* Consider the two systems of differential equations dr (i) = 0.3r - 0.1ry = 0.3z - 3ry dt dt = -0.1y + 2ry = -2y + 0.1zy dt One of these systems refers to a predator-prey system with very lethargic predators-those who seldom catch prey but who can live for a long time on a single prey (for example, boa constrictors). The other system refers to a very active predator that requires many prey to stay healthy (such as a small cat). The prey in each case is the same. Identify which system is which and justify your answer.
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