Time: 0.0 t Prey: 40.0 Predators: 9.0

Population over time

Blue: prey · Red: predators

Speed
Preset

named parameter set: loads α, β, δ, γ, N₀, and P₀ for a named scenario; overwrites current values; takes effect on Reset

α 1.10

prey intrinsic growth rate: rate at which prey reproduce in the absence of predators; takes effect on Reset

β 0.06

predation rate: rate at which predators consume prey per encounter; takes effect on Reset

δ 0.03

predator growth efficiency: fraction of consumed prey converted into new predators; takes effect on Reset

γ 0.70

predator mortality rate: per-capita rate at which predators die in the absence of prey; takes effect on Reset

Δt 0.03

RK4 integration step size: smaller values improve numerical accuracy; larger values run faster but may diverge; takes effect on Reset

N₀ 40

initial prey population at t = 0; takes effect on Reset

P₀ 9

initial predator population at t = 0; takes effect on Reset

disables automatic pause at 50-time-unit checkpoints, letting the simulation run continuously

All parameters take effect on Reset. RK4 integration is used for numerical stability.

Auto-pause checkpoints occur every 50 time units.

Complications
Model

equation variant: Predator-prey = classic Lotka-Volterra, Dynamic = adds prey carrying capacity and predator mortality, Competition = two-species competition; takes effect on Reset

Current values

Time
0.00
Prey
40.00
Predators
9.00
Prey equilibrium
23.33
Predator equilibrium
18.33

Phase plane

Trajectory through prey-predator state space