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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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boilogy mathematics
Consider the following dynamical system and then answer
the subquestions
dx
(1
ry(1-
dt
K1+a1Y
dy
dt
K2 + a2x/
1. What type of biological interactions between x and y does the above
dynamical system model?
2. Find appropriate definitions for x, y and the parameters a1, a2, r, K1, K2
(all assumed positive).
3. Find the equilibria and discuss their stability for 0 < a1, a2 < 1.
Transcribed Image Text:Consider the following dynamical system and then answer the subquestions dx (1 ry(1- dt K1+a1Y dy dt K2 + a2x/ 1. What type of biological interactions between x and y does the above dynamical system model? 2. Find appropriate definitions for x, y and the parameters a1, a2, r, K1, K2 (all assumed positive). 3. Find the equilibria and discuss their stability for 0 < a1, a2 < 1.
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