. , . . (, , ..), (, , , ..). , , . , . - .
, N , t = 0 ( ). , , .
x(t) t, y(t) ( , , ). , (t) + y(t) = N + 1 t, t = 0 (0) = 1. t, t +∆ t, ∆ t . , ∆ , , ∆ t (∆ x≈ ∆ t). , , .. x(t)y(t). , ∆x≈ αx(t)y(t)dt, α . ∆ t ,
=αx(t)(N+1-x(t)), (9.14)
(0)=1 (9.15)
x(t). (9.14) , . x(t) (9.14), (9.15)
, t 0. (9.16)
, . . (9.16) , , , =N+1. , , .
, , . .
, t 0 (9.17)
.
(9.17),
, t 0. (9.18)
, > 0 t < 0
t . , t , . , : , .
[22], 8,5 . N α, .
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79,1 . , N = 8,5 ./79,1 . ≈1100 . 46- , . . 46 , . (9.16) . 1100 . 11%, [22], 981 . 11,5%. , , 981. 122 . , .
- . [30] , . n +1 (. . 0, 1, 2,..., , ), , , , . xn , t.
(9.19)
:
fi,(i=0, 1,..., n) , i - ,
, (i = 0,1,..., -1) , i - i +1.
, , . -, (9.19) ,
(9.21)
-, (n +1) , n +1 ( ) (n +1) ( ) . , , ( ) . , [54].
, 0 = (0,0,1), . . . :
. . a 1 = (12, 0, 0) 12 . :
..
,
(9.22)
, λ1 = 2 (9.23) = (24, 4,1). (9.24) λ2 =-1, λ3 =-1. (9.23) = (6,-2,1). -1 , ( ), ( A- λ2) = :
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, (9.25) = (0, - 2, 2). , , , = (24,4, 2), = (6, - 2,1) = (0, - 2, 2) , . .
(9.26)
α0, β0, γ0 (, = (258, 30, 17), α0=10, β0=3, γ0=2).
(9.21) :
(9.27)
→ 0, k → ∞, t=+k → ∞
(9.28)
λ1 , ( ), , . . 24:4:1. , , .
, , , [54] ( ..).
1. , . .
2. . .
3. 300- .
4. a0 = (0,6,12) :
() .