2. Consider the two systems of differential equations da dx (i) = 0.3x – 0.1xy (ii) = 0.3x - 3xy dt dt dy = -0.1y + 2æy dt dy = -2y + 0.1ry 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.

2. Consider the two systems of differential equations da dx (i) = 0.3x – 0.1xy (ii) = 0.3x - 3xy dt dt dy = -0.1y + 2æy dt dy = -2y + 0.1ry 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

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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