Lotka–Volterra models
E548443
Lotka–Volterra models are a set of differential equations in mathematical biology that describe the dynamics of interacting species, such as predator–prey and competitive relationships, and are foundational for theoretical ecology.
Statements (49)
| Predicate | Object |
|---|---|
| instanceOf |
ecological model
ⓘ
mathematical model ⓘ population dynamics model ⓘ system of differential equations ⓘ |
| appliesTo |
multi-species communities
ⓘ
two-species systems ⓘ |
| assumes |
continuous time dynamics
ⓘ
deterministic dynamics ⓘ well-mixed populations ⓘ |
| basedOn | ordinary differential equations ⓘ |
| coreConcept |
carrying capacity
ⓘ
equilibrium point ⓘ interaction coefficient ⓘ limit cycle ⓘ per capita growth rate ⓘ phase plane ⓘ |
| describes |
interacting species dynamics
ⓘ
interspecific competition ⓘ mutualistic interactions ⓘ predator–prey interactions ⓘ |
| field |
mathematical biology
ⓘ
population ecology ⓘ theoretical ecology ⓘ |
| hasPart |
competition model
ⓘ
mutualism model ⓘ predator–prey model ⓘ |
| hasVariant |
discrete-time Lotka–Volterra model
ⓘ
generalized Lotka–Volterra model ⓘ spatial Lotka–Volterra model ⓘ stochastic Lotka–Volterra model ⓘ |
| historicalPeriod | early 20th century ⓘ |
| influenced |
community ecology modeling
ⓘ
evolutionary game theory ⓘ modern theoretical ecology ⓘ |
| mathematicalForm | nonlinear differential equations ⓘ |
| namedAfter |
Alfred J. Lotka
NERFINISHED
ⓘ
Vito Volterra NERFINISHED ⓘ |
| relatedTo |
chemostat models
ⓘ
logistic growth model ⓘ replicator equation NERFINISHED ⓘ |
| typicalBehavior |
neutrally stable cycles
ⓘ
population oscillations ⓘ |
| usedFor |
analyzing ecological stability
ⓘ
modeling population growth ⓘ studying oscillatory population dynamics ⓘ studying species coexistence ⓘ |
| usedIn |
conservation biology
ⓘ
epidemiology analogues ⓘ fisheries management ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.