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1. The Lotka-Volterra or predator-prey equations dU (1) = aU-UV, dt AP eyUV-BV. (2) dt have two fixed points (U., V.) (0,0), (U.,V.) = (2 4). The trivial fixed point (0,0) is unstable %3D ey since the prey population grows exponentially if it is initially small. Investigate the stability of the second fixed point (U..V.) = (

1. The Lotka-Volterra or predator-prey equations dU (1) = aU-UV, dt AP eyUV-BV. (2) dt have two fixed points (U., V.) (0,0), (U.,V.) = (2 4). The trivial fixed point (0,0) is unstable %3D ey since the prey population grows exponentially if it is initially small. Investigate the stability of the second fixed point (U..V.) = (

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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1. The Lotka-Volterra or predator-prey equations dU = aU – UV, dt (1) AP = eyUV – BV. dt (2) have two fixed points (U., V.) = (0,0), (U., V.) = (- :). The trivial fixed point (0,0) is unstable since the prey population grows exponentially if it is initially small. Investigate the stability of the second fixed point (U..V.) = 6:27 PM 3/3/2021 近
Transcribed Image Text:1. The Lotka-Volterra or predator-prey equations dU = aU – UV, dt (1) AP = eyUV – BV. dt (2) have two fixed points (U., V.) = (0,0), (U., V.) = (- :). The trivial fixed point (0,0) is unstable since the prey population grows exponentially if it is initially small. Investigate the stability of the second fixed point (U..V.) = 6:27 PM 3/3/2021 近
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