Exercises 1-6 refer to the following systems of oquations: di Gi) dz - 10r (1 – ) – 201xy -03 - - 15(1 - di + 251y. 1. In one of these systems, the prey are very large animals and the prodators are very small animals, such as elephants and mosquitoes. Thus it takes many prodators to eat one prey, but each prey eaten is a tremendous benefit for the predator population. The other system has very large prodators and very small prey. Determine which system is which and provide a justification for your answer| 2. Find all equilibrium points for the two systems. Explain the significance of these points in terms of the prodator and prey populations.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Exercises 1-6 refer to the following systems of oquations:
di
Gi) dz
- 10r (1 – ) – 201xy
-03 -
- 15(1 -
di
+ 251y.
1. In one of these systems, the prey are very large animals and the prodators are very
small animals, such as elephants and mosquitoes. Thus it takes many prodators to
eat one prey, but each prey eaten is a tremendous benefit for the predator population.
The other system has very large prodators and very small prey. Determine which
system is which and provide a justification for your answer|
2. Find all equilibrium points for the two systems. Explain the significance of these
points in terms of the prodator and prey populations.
Transcribed Image Text:Exercises 1-6 refer to the following systems of oquations: di Gi) dz - 10r (1 – ) – 201xy -03 - - 15(1 - di + 251y. 1. In one of these systems, the prey are very large animals and the prodators are very small animals, such as elephants and mosquitoes. Thus it takes many prodators to eat one prey, but each prey eaten is a tremendous benefit for the predator population. The other system has very large prodators and very small prey. Determine which system is which and provide a justification for your answer| 2. Find all equilibrium points for the two systems. Explain the significance of these points in terms of the prodator and prey populations.
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