Process

Descriptive function

Comparative function

Decomposition, breakdown

x = x e c t

ln x x

Infinite proliferation

x = x e c t

ln x x

Logistic process by Fermi distribution

x = 1 x 1 + e c t

ln 1 x x + x 1

Logistic process by Gompertz distribution

x = x 1 e x 2 e c t

ln x 2 ln x 1 x

Demographic explosion

x = x π arccot ( c t )

cot x x π