考慮以下的ode system
D[u,t]=(u^2)(1-u-c*v),
D[v,t]=(v^2)(a-b*u-v),
where u=u(t), v=v(t), and
a, b, c, d are positive constants.
很明顯有平衡點(1,0) and (0,a)
Linearizing this system around (1,0), 然後計算eigenvalue
得到 -1 and 0
同樣地, linearizing this system around (0,a), 然後計算eigenvalue
得到 0 and -a^2
問題是
eigenvalue有0 這樣如何判斷這兩點的stability?
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※ 編輯: chopriabin 來自: 133.26.152.12 (10/06 20:30)