Statements (38)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:logic
|
| gptkbp:alsoKnownAs |
predator-prey equations
|
| gptkbp:appliesTo |
competitive species
predator-prey systems |
| gptkbp:category |
dynamical systems
nonlinear systems ordinary differential equations |
| gptkbp:describes |
dynamics of biological systems
interaction between predator and prey |
| gptkbp:field |
ecology
mathematical biology |
| gptkbp:form |
dx/dt = αx - βxy
dy/dt = δxy - γy |
| gptkbp:formedBy |
gptkb:Alfred_J._Lotka
gptkb:Vito_Volterra |
| gptkbp:hasEquation |
partial differential equations
|
| gptkbp:hasModel |
population dynamics
|
| https://www.w3.org/2000/01/rdf-schema#label |
Lotka-Volterra equations
|
| gptkbp:influenced |
population biology
theoretical ecology |
| gptkbp:numberOfEquations |
2
|
| gptkbp:parameter |
α (prey growth rate)
β (predation rate) γ (predator death rate) δ (predator efficiency) |
| gptkbp:publishedIn |
gptkb:Journal_of_the_Washington_Academy_of_Sciences
|
| gptkbp:relatedTo |
gptkb:logistic_equation
competition equations |
| gptkbp:solvedBy |
cyclic population oscillations
|
| gptkbp:usedIn |
epidemiology
fisheries management conservation biology ecosystem modeling |
| gptkbp:variant |
x (prey population)
y (predator population) |
| gptkbp:yearProposed |
1920
|
| gptkbp:bfsParent |
gptkb:Ordinary_Differential_Equations
|
| gptkbp:bfsLayer |
6
|