“logistic map(continuous case)”的概念、定义、翻译、参考文献-科学参考

logistic map(continuous case)

Mathematics

单词	logistic map(continuous case)
释义	logistic map(continuous case) Mathematics In 1838 the Belgian mathematician Verhulst suggested the differential equation $\frac{d N}{d t} = r N (1 - \frac{N}{K})$ as a model for population growth. N(t) is the population at time t. For small N, we have dN/dt ≈ rN(t) and so approximately exponential growth with growth rate r. However, as N becomes comparable to a carrying capacity K, the effective growth rate reduces. The general solution is $N (t) = \frac{K A}{A + e^{- K r t}}$ where A is a positive constant. The graph of N(t) is an increasing S-shaped curve with N(t) tending to 0 as t→−∞ and N(t) tending to K as t→∞.
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