xtxtxt

.x1x2t

: : x = 0x(t) = eAt x0i: Avi: Awi: AT

Re(li) < 0 A: A:

, 1, 2 < 0

, 1, 2 > 0 , 1 > 0 > 2

, Re(i) < 0 , Re(i) > 0

, Re(i) = 0 ( )

A Taylor xs:

:() : detJ(xs) 0() , . Lyapunov

Monod 1. : 2. : :xs 0, 0 ss sF :

(Koga & Humphrey, 1967) : :

: (xs > 0)

() ()

Koga & Humphrey (1967)

Andrews(Yano & Koga, 1969) s

s 1. : 2. : : :

a: ss1, ss2 > 0 ( )b: ss1, ss2 > sF ( ): 0 < ss1 < sF, ss2 > sF ( )I: 0 < ss1 < sF, 0 < ss2 < sF ( )

: - D, - D + sF) : D > (sF)

: 1: (xs > 0) 2: (xs > 0)

IaIbIIIII ()

1_

2_ ()

Yano & Koga (1969)

Yano & Koga (1969)