Lotka-Volterra predator-prey model
GPTKB entity
Statements (43)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:logic
|
| gptkbp:alsoKnownAs |
gptkb:Lotka-Volterra_equations
predator-prey equations |
| gptkbp:application |
population dynamics
ecological modeling |
| gptkbp:assumes |
no environmental complexity
predators depend solely on prey for food unlimited food supply for prey |
| gptkbp:basisFor |
many predator-prey studies
mathematical ecology research |
| gptkbp:citation |
many ecology textbooks
|
| gptkbp:describes |
dynamics of biological systems
interaction between predators 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
|
| https://www.w3.org/2000/01/rdf-schema#label |
Lotka-Volterra predator-prey model
|
| gptkbp:influenced |
subsequent ecological models
|
| gptkbp:influencedBy |
population biology
chemical reaction kinetics |
| gptkbp:limitation |
does not account for environmental carrying capacity
assumes constant parameters ignores age structure ignores spatial distribution |
| gptkbp:parameter |
α (prey growth rate)
β (predation rate coefficient) γ (predator death rate) δ (predator efficiency) |
| gptkbp:relatedTo |
gptkb:competitive_Lotka-Volterra_equations
gptkb:generalized_Lotka-Volterra_equations |
| gptkbp:solvedBy |
cyclic population oscillations
|
| gptkbp:usedIn |
epidemiology
conservation biology theoretical ecology |
| gptkbp:variant |
predator population
prey population |
| gptkbp:yearProposed |
1920s
|
| gptkbp:bfsParent |
gptkb:Ordinary_Differential_Equations
|
| gptkbp:bfsLayer |
6
|