Predator-Prey Simulation Ver.2.3 by CJ Fontenot, PhD
Visual Simulation
Prey (Age Limit: )
Predator (Age/Energy Limit: )
Predator (Age/Energy Limit: )
Population Dynamics
■ Prey Pop
■ Predator Pop
K (Capacity)
■ Predator Pop
K (Capacity)
Controls & Parameters
Initial Conditions
150
30
Environment & Prey
500
(Max prey supported)
0.60
(Intrinsic growth rate)
Predator & Interaction
0.0040
(Hunt effectiveness)
0.0010
(Prey-to-energy/repro.)
0.10
(Energy loss / death rate)
Lifespan
1500
(Max agent age)
Mathematical Model
Prey: dx/dt = αx(1-x/K) - βxy
Predator: dy/dt = δxy - γy
More Model Details & Limits
α
:Prey growth, K
:Capacity, β
:Predation, δ
:Efficiency, γ
:Predator loss. Agents have age limits & energy.
Dynamics:
Equilibria: (0,0), (K,0), or (x*, y*) Coexistence possible if γ/δ < K
.
Simulation Notes:
Uses discrete steps & agent randomness; approximates continuous ODEs.