logistic equation

GPTKB entity

Statements (25)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo biology
ecology
economics
demography
gptkbp:category nonlinear differential equation
gptkbp:describes logistic growth
gptkbp:differential dN/dt = rN(1 - N/K)
gptkbp:field gptkb:mathematics
population dynamics
https://www.w3.org/2000/01/rdf-schema#label logistic equation
gptkbp:introduced gptkb:Pierre_François_Verhulst
gptkbp:introducedIn 1838
gptkbp:parameter K (carrying capacity)
r (intrinsic growth rate)
gptkbp:relatedTo gptkb:Verhulst_equation
gptkb:logistic_map
exponential growth
gptkbp:solvedBy sigmoid curve
N(t) = K / (1 + ((K-N0)/N0) * e^(-rt))
gptkbp:variant N (population size)
gptkbp:bfsParent gptkb:Ordinary_Differential_Equations
gptkb:Fisher–Kolmogorov_equation
gptkb:logistic_map
gptkbp:bfsLayer 6