Verhulst logistic equation

GPTKB entity

Statements (23)
Predicate Object
gptkbp:instanceOf gptkb:logic
gptkbp:alsoKnownAs gptkb:logistic_equation
gptkbp:assumes limited resources
constant carrying capacity
gptkbp:describes population growth
gptkbp:differential dN/dt = rN(1 - N/K)
gptkbp:field mathematical biology
population dynamics
gptkbp:formedBy gptkb:Pierre_François_Verhulst
gptkbp:generalizes gptkb:exponential_growth_model
https://www.w3.org/2000/01/rdf-schema#label Verhulst logistic equation
gptkbp:influenced gptkb:Lotka–Volterra_equations
gptkb:logistic_map
gptkbp:parameter K (carrying capacity)
r (intrinsic growth rate)
gptkbp:publishedIn 1845
gptkbp:solvedBy N(t) = K / (1 + ((K-N0)/N0) * e^(-rt))
gptkbp:usedIn ecology
epidemiology
demography
gptkbp:variant N (population size)
gptkbp:bfsParent gptkb:Ordinary_Differential_Equations
gptkbp:bfsLayer 6