Exercises 1-6 refer to the folkowing systems of equations: (i) dx dt (i) dx 10x (1 – ) – 20xy ху 0.3x = dt 100 dy := 15y (1 -) + 25xy. dt 1. In one of these systems, the prey are very large animals and the predators are very small animals, such as elephants and mosquitoes. Thus it takes many predators to eat one prey, but each prey eaten is a tremendous benefit for the predator population. The other system has very large predators and very small prey. Determine which system is which and provide a justification for 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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Exercises 1-6 refer to the folkowing systems of equations:
(i) dx
dt
(i)
dx
10x (1 – ) – 20xy
ху
0.3x
=
dt
100
dy
:= 15y (1 -)
+ 25xy.
dt
1. In one of these systems, the prey are very large animals and the predators are very
small animals, such as elephants and mosquitoes. Thus it takes many predators to
eat one prey, but each prey eaten is a tremendous benefit for the predator population.
The other system has very large predators and very small prey. Determine which
system is which and provide a justification for your answer
Transcribed Image Text:Exercises 1-6 refer to the folkowing systems of equations: (i) dx dt (i) dx 10x (1 – ) – 20xy ху 0.3x = dt 100 dy := 15y (1 -) + 25xy. dt 1. In one of these systems, the prey are very large animals and the predators are very small animals, such as elephants and mosquitoes. Thus it takes many predators to eat one prey, but each prey eaten is a tremendous benefit for the predator population. The other system has very large predators and very small prey. Determine which system is which and provide a justification for your answer
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