eed help with ODE problem on Lotka Voltera competition model please, thanks in advance

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Need help with ODE problem on Lotka Voltera competition model please, thanks in advance.

1) Consider the Lotka-Volterra competition model:
x' =
B1x(K1 – x – 1y)
y' = B2y(K2 – y – A2x)
Analyze the stability of the equilibria for the following values of parameters:
(a) ß1 = B2 = 1, K1 = 1, K2 = 0.75, 11 = 1, 12 = 0.5
1, Кі 3D 1, К2
(b) B1 = 1, ß2 = 0. 25, K1 = 1, K2 = 2, 11 = 1, d2 = 3
2, λ1 1, λ2
Transcribed Image Text:1) Consider the Lotka-Volterra competition model: x' = B1x(K1 – x – 1y) y' = B2y(K2 – y – A2x) Analyze the stability of the equilibria for the following values of parameters: (a) ß1 = B2 = 1, K1 = 1, K2 = 0.75, 11 = 1, 12 = 0.5 1, Кі 3D 1, К2 (b) B1 = 1, ß2 = 0. 25, K1 = 1, K2 = 2, 11 = 1, d2 = 3 2, λ1 1, λ2
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