Predator Prey Model






Predator-Prey Simulation Ver.2.3 by CJ Fontenot, PhD


Predator-Prey Simulation Ver.2.3 by CJ Fontenot, PhD

Visual Simulation

Prey (Age Limit: )
Predator (Age/Energy Limit: )

Population Dynamics

■ Prey Pop
■ 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.


What You See Is What You Get.