, , , , , . : " , , ‑, , . , ‑ . "
, . . , .
p ( ), q , r = p q . , , N t
dN / dt = rN.
, , t = 0 N
N = N exp (rt).
, 1950‑1980 r 0.018. , t exp(0.018t) . 50 2,5 , 100 6 , 300 220 ! . , . , .
q Q, . , Q Q =rN/K, K . , V = N/K . Q , . P , w . K=P/w
Q = rN / K = rw (N / P).
, P/N. . 70‑ 2600 , 3200 , 1621, ‑1752, 1906 . .
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dN / dt = r (1‑ N / K) N
,
N = K /((K / N ‑1) exp (‑ rt)+1)
. , N(t) = K , .
, V. , . 20‑ , . , = 60 . I‑II .. (. .).
, , , , , , . , , , ; , . , , , . ; , . , , , . , , , , . , , .
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I.
II.
III.
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P P P
IV.
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V.
VI.
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PAX ROMANA
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VII.
,